Flow phenomena in the exit zone of a circulating fluidized bed
航空发动机专业英语之空气动力学
Introduced how to reduce the impact of emissions on aircraft performance and meet environmental regulations by optimizing exhaust emission design and control technologies.
With the continuous improvement of aircraft performance, the aerodynamic design of aircraft engines is affecting more string requirements, including higher take off and landing speeds, longer flight distances, and more complex flight conditions
Detailed description
Definition and Concepts
Understanding the characteristics and classification of fluids helps to gain a deeper understanding of the working principles of aircraft engines.
Air inlet aerodynamics
Explored the effects of aerodynamic phenomena in combustion chambers on combustion efficiency and emissions, including flame propagation speed, combustion stability, and combustion chamber outlet temperature distribution.
Understanding the Flow of Fluids through Pipes
Understanding the Flow of Fluidsthrough PipesFluids are materials that follow the shape of their container, such as liquids and gases. They often flow through pipelines, carrying various materials from one place to another. The process of fluid flow is a crucial aspect of many industries, including oil and gas, chemical, and water treatment. Therefore, understanding the flow of fluids through pipes is essential for engineers and technicians working in these fields.There are two main types of flows: laminar and turbulent. Laminar flow occurs when fluids move in parallel layers without mixing. This type of flow is common in low-velocity fluids and straight pipes. In contrast, turbulent flow occurs when fluids move erratically, with turbulent eddies and vortices mixing the fluid. This type of flow is typical in high-velocity fluids and rough pipes.To calculate the flow of fluids through pipes, engineers use a variety of equations and principles. One such principle is Bernoulli's equation, which relates the pressure and velocity of fluids within a pipe. According to Bernoulli's equation, the total energy of a fluid (sum of kinetic, potential, and pressure energies) remains constant along a streamline. This principle is often used to calculate the velocities or pressure drop in a fluid pipeline.Another principle that describes fluid flow is the continuity equation. The continuity equation describes the relationship between velocity and cross-sectional area of the pipe. It states that the mass flow rate (mass per unit time) remains constant along a pipeline, regardless of changes in cross-sectional area or velocity.In addition to equations and principles, engineers must consider various factors that affect fluid flow within pipes. These factors include the viscosity of the fluid, the diameter and length of the pipe, and the roughness of the pipe's internal surface. For example, fluids with high viscosity experience more resistance to flow and may require higher pressure to move through a pipe. Similarly, rougher pipes will cause moreturbulence and therefore require a higher pumping pressure to achieve the same flow rate as a smoother pipe.Engineers and technicians can also use computational fluid dynamics (CFD) software to simulate fluid flow within pipelines. CFD allows them to predict the behavior of fluids and optimize the design of pipelines. This technology uses numerical methods to solve the equations that describe fluid flow, providing engineers with a detailed understanding of the velocity and pressure distribution of the fluid within a pipeline.In conclusion, understanding the flow of fluids through pipes is essential for various industries. Engineers and technicians use equations, principles, and advanced technology to optimize pipeline design and calculate flow rates. By understanding the factors that affect fluid flow and employing suitable methods, they can ensure safe and efficient transport of materials through pipelines.。
化工单元操作英文教材-流体流动现象Fluid-flow phenomena
Bingham plastic
The rheological behavior of liquids called non-Newtonian.
o
du/dy
Figure 3 Shear stress versus velocity gradient for non-Newtonian fluids.
turbulent flow: The fluid moves erratically in form of crosscurrents and eddies.
Gas :
kinematic viscosities increase more rapidly with temperature than does the absolute viscosity.
Turbulence
It has long been known that a fluid can flow through a pipe or conduit in two different ways:
One-dimensional flow
Velocity is a vector, but only one velocity component is required. This simple situation is called Onedimensional flow.
Example: steady flow through straight pipe.
The assumptions of steady one-dimensional flow is the basis of following discussion. All we will talk about in this course belong to one dimensional steady flow
化工原理英文论文
Chemical Engineering PrinciplesChemical engineering is a vast field that involves the design, operation, and optimization of chemical processes. This discipline combines engineering principles with chemistry to develop solutions for various industrial applications. In this paper, we will explore the fundamental principles of chemical engineering and discuss their significance in engineering practice.IntroductionChemical engineering principles are based on the fundamental laws of physics and chemistry. These principles serve as the foundation for designing and operating chemical processes in industries like petrochemicals, pharmaceuticals, food processing, and environmental engineering. Understanding these principles is essential for chemical engineers to develop efficient and sustainable processes.Mass and Energy BalancesMass and energy balances are crucial for assessing the efficiency of chemical processes. A mass balance involves tracking the flow of mass into and out of a system. This allows engineers to determine the mass of products and reactants involved in a chemical reaction. Energy balances, on the other hand, involve the conservation of energy, accounting for the energy transferred into or out of a system.ThermodynamicsThermodynamics plays a crucial role in chemical engineering, as it helps understand the behavior of materials and energy transfer in chemical processes. The study of thermodynamics involves the relationship between temperature, pressure, and volume. It also deals with concepts like heat transfer, work, and entropy.Chemical KineticsChemical kinetics focuses on the rates at which chemical reactions occur. Understanding the kinetics of a reaction is essential for optimizing reaction conditions, such as temperature, pressure, and catalyst concentration. Chemical engineers use this knowledge to design reactors and select suitable reaction pathways.Transport PhenomenaTransport phenomena involve the study of momentum, heat, and mass transfer. In chemical engineering, knowledge of these phenomena is crucial for designing processes involving fluid flow, heat transfer, and separation processes.Understanding how heat, mass, and momentum are transferred allows engineers to optimize process efficiency.Process ControlProcess control is a critical aspect of chemical engineering, ensuring that chemical processes operate safely and efficiently. It involves monitoring and controlling process variables such as temperature, pressure, and flow rate. Process control techniques include feedback control, cascade control, and advanced control strategies like model predictive control.Reaction EngineeringReaction engineering focuses on the design and optimization of chemical reactors. It involves understanding the behavior of chemical reactions and selecting appropriate reaction conditions to maximize desired conversion and minimize unwanted side reactions. Chemical engineers often employ mathematical models to simulate and analyze reactor performance.Separation ProcessesSeparation processes are essential in chemical engineering for isolating desired products from raw materials or purifying products. There are various separation techniques like distillation, absorption, extraction, and membrane separation. Each method has its advantages and limitations, and choosing the right separation process is crucial for process optimization.Process SafetyProcess safety is of utmost importance in chemical engineering to prevent accidents and ensure the well-being of personnel and the environment. Chemical engineers implement safety measures like hazard assessment, risk analysis, and designing safety systems to mitigate process hazards. Compliance with safety standards and regulations is essential throughout the lifespan of a chemical process.ConclusionUnderstanding the principles of chemical engineering is crucial for designing, optimizing, and operating chemical processes. Mass and energy balances, thermodynamics, chemical kinetics, transport phenomena, process control, reaction engineering, separation processes, and process safety are integral parts of chemical engineering practice. By applying these principles, chemical engineers develop innovative solutions to address societal demands while considering environmental and economic sustainability.。
升降翻转 英语
升降翻转英语Ascent, Descent, and FlipThe concept of ascent, descent, and flip is a fascinating one, encompassing a wide range of applications and implications in various fields. From the physical realm to the metaphorical, these three fundamental actions can be observed and experienced in myriad ways, each offering unique insights and opportunities for exploration.In the physical world, the notion of ascent, descent, and flip is perhaps most readily apparent in the realm of motion and mechanics. The act of ascending, or rising upwards, can be seen in the graceful arc of a bird in flight, the powerful launch of a rocket into the sky, or the steady climb of a hiker up a mountainous trail. This upward movement, fueled by the principles of gravity and momentum, represents a triumph of force and determination, a defiance of the natural pull of the earth.Conversely, the descent, the downward movement, is equally integral to the physical experience. The gentle descent of a leaf drifting to the ground, the controlled landing of an aircraft, or the rapidplummet of a skydiver all exemplify the power and grace of the downward journey. This descent, often guided by the relentless force of gravity, can be both thrilling and perilous, requiring a delicate balance of skill and foresight.The third component of this triad, the flip, introduces an element of transformation and change. The flip, a complete reversal of orientation or direction, can be observed in the acrobatic maneuvers of gymnasts, the somersaults of divers, or the spin of a coin as it is tossed into the air. This sudden shift, this momentary suspension of the familiar, opens the door to new perspectives and unexpected outcomes, challenging our preconceptions and pushing the boundaries of what is possible.Beyond the physical realm, the concepts of ascent, descent, and flip can be applied to the metaphorical and symbolic realms of human experience. In the realm of personal growth and development, the ascent can represent the journey of self-improvement, the climb towards greater knowledge, wisdom, and self-actualization. The descent, on the other hand, may signify periods of introspection, reflection, or even personal crisis, where the individual must confront the challenges and obstacles that life presents.The flip, in this context, can be seen as a transformative moment, a turning point where an individual's perspective shifts, theirunderstanding is radically altered, or their entire worldview is flipped on its head. This metaphorical flip can occur in the realm of ideas, beliefs, and values, as new information or experiences challenge long-held assumptions and compel us to reevaluate our previously held notions.In the realm of social and cultural change, the ascent, descent, and flip can be observed in the ebb and flow of societal movements, the rise and fall of ideologies, and the sweeping transformations that shape the course of human history. The ascent of a revolutionary idea, the descent of an oppressive regime, and the flip of a paradigm-shifting event all serve as powerful examples of the profound impact these concepts can have on the collective human experience.Furthermore, the interplay of ascent, descent, and flip can be seen in the creative arts, where artists, writers, and thinkers explore these themes through their work. In literature, the narrative arc of a story often follows a pattern of ascent, descent, and flip, as characters navigate the ups and downs of their journeys, encountering moments of transformation that challenge their perspectives and alter the course of their lives.In the realm of visual arts, the concepts of ascent, descent, and flip can be manifested through the use of composition, perspective, andthe manipulation of form and space. The ascent of a towering spire, the descent of a cascading waterfall, and the flip of a Cubist painting all serve as examples of how these ideas can be translated into the language of visual expression.Ultimately, the concepts of ascent, descent, and flip are not merely physical phenomena but rather a fundamental part of the human experience. They represent the ebb and flow of life, the constant cycle of growth, challenge, and transformation that shapes our individual and collective journeys. By understanding and embracing these concepts, we can gain a deeper appreciation for the complexities and nuances of our existence, and perhaps even uncover new avenues for personal and societal growth and evolution.。
湍流脉动速度的英文
湍流脉动速度的英文Turbulent Fluctuating Velocity.Turbulence, often described as the "chaos" of fluids, is a common and complex phenomenon encountered in various natural and engineering applications. It is characterized by random fluctuations in various fluid properties, including velocity, pressure, and temperature. Among these fluctuations, turbulent pulsating velocity, or simply turbulent fluctuating velocity, plays a pivotal role in determining the overall behavior of turbulent flows.1. Definition and Characteristics.Turbulent fluctuating velocity refers to the rapid and irregular variations in the velocity of fluid particles within a turbulent flow. These variations are caused by the interaction of eddies, vortices, and other small-scale structures within the flow. These structures constantly form, merge, and break down, leading to the observedfluctuations.The magnitude of these fluctuations is typically much larger than the mean velocity of the flow and can be several orders of magnitude higher. They are also highly uncorrelated, meaning that the velocity at one point in the flow does not depend on the velocity at another point, unless they are separated by a distance comparable to the size of the turbulent eddies.2. Importance of Turbulent Fluctuating Velocity.Turbulent fluctuating velocity is crucial in various fluid dynamics applications. It significantly impacts heat transfer, mass transfer, and the mixing of fluids. For example, in heat exchangers, the turbulent fluctuating velocity enhances the rate of heat transfer between two fluids by increasing the effective surface area for heat exchange.In addition, turbulent fluctuating velocity also plays a key role in determining the overall resistance or dragexperienced by objects placed within a turbulent flow. The fluctuating velocities cause pressure fluctuations on the object's surface, leading to additional drag forces.3. Measurement and Analysis.Measuring turbulent fluctuating velocity is a challenging task due to its random and transient nature. However, several techniques have been developed to capture these fluctuations, including hot-wire anemometry, laser Doppler anemometry, and particle image velocimetry.These measurements provide valuable insights into the characteristics of turbulent flows, such as the statistics of velocity fluctuations, their spatial and temporal correlations, and the energy spectrum of turbulent eddies.4. Modeling and Simulation.Modeling and simulating turbulent fluctuating velocity require sophisticated numerical techniques and computational resources. turbulence models, such as theReynolds-Averaged Navier-Stokes (RANS) model and Large Eddy Simulation (LES), are commonly used to predict the behavior of turbulent flows.These models aim to capture the effects of turbulent fluctuating velocity by introducing additional terms or equations into the governing fluid dynamics equations.While RANS models focus on the statistical properties of turbulence, LES aims to resolve the largest eddies directly and model the smaller ones.5. Conclusion.Turbulent fluctuating velocity is a crucial aspect of turbulent flows, affecting various fluid dynamics phenomena. Understanding its characteristics and behavior is essential for predicting and controlling turbulent flows in various applications, including energy conversion, transportation, and environmental engineering.With ongoing research and the continuous development of new measurement techniques and numerical models, ourunderstanding of turbulent fluctuating velocity and its impact on turbulent flows will continue to deepen.。
压力物理英语
压力物理英语Pressure is defined as the force applied perpendicular to the surface of an object per unit area. It is a physical quantity that plays a crucial role in various fields of physics, including mechanics, fluid dynamics, and thermodynamics. Understanding pressure physics is essential for predicting the behavior of gases, liquids, and solids under different conditions.In mechanics, pressure is often encountered in the context of solids and fluids. In solids, pressure is responsible for the deformation of materials under external forces. When a force is applied to a solid object, it generates pressure on the surface of the object, which leads to the compression or expansion of the material. This relationship is described by Hooke's law, which states that the deformation of a material is directly proportional to the applied force.In fluids, pressure is a key factor in determining the flow behavior of liquids and gases. According to Pascal's principle, pressure applied to a confined fluid is transmitted undiminished in all directions. This principle is utilized in hydraulic systems, where a small force applied to a small area can generate a large force on a larger area, allowing for the amplification of mechanical power.In fluid dynamics, pressure plays a vital role in understanding the behavior of fluids in motion. The Bernoulli equation relates pressure, velocity, and elevation in a fluid flow, providing insights into the energy distribution in a moving fluid. Pressure gradients drive fluid flow, resulting in phenomena such as laminar and turbulent flow, boundary layer separation, and the formation of vortices.In thermodynamics, pressure is a fundamental property that characterizes the state of a system. In the ideal gas law, pressure is directly proportional to the temperature and density of a gas, providing a simple model for the behavior of gases under different conditions. The concept of pressure-volume work is used to describe the energy transfer in thermodynamic processes, such as compression and expansion of gases.Pressure physics also has practical applications in various fields, such as engineering, meteorology, and geophysics. In engineering, pressure sensors are used to monitor and control systems in industries such as automotive, aerospace, and manufacturing. In meteorology, atmospheric pressure measurements are essential for weather forecasting and climate studies. In geophysics, pressure variations in the Earth's crust are monitored to study earthquakes and volcanic activity.Overall, pressure physics is a fundamental concept that underpins many aspects of the physical world. By understanding the principles of pressure, researchers and engineers can develop innovative technologies and solutions to complex problems. As our knowledge of pressure physics continues to advance, so too will our ability to harness its potential for the benefit of society.。
COMPUTATION OF SOUND GENERATION AND FLOWACOUSTIC INSTABILITIES IN THE FLOW PAST AN OPEN CAV
Proceedings of FEDSM993rd ASME/JSME Joint Fluids Engineering ConferenceJuly18-23,1999,San Francisco,California,USAFEDSM99-7228COMPUTATION OF SOUND GENERATION AND FLOW/ACOUSTIC INSTABILITIESIN THE FLOW PAST AN OPEN CAVITYTim Colonius,Amit J.Basu,&Clarence W.RowleyDivision of Engineering and Applied ScienceCalifornia Institute of TechnologyPasadena,California91125Email:colonius@ABSTRACTThe modes of oscillation and radiated acousticfields of com-pressibleflows over open cavities are investigated computation-ally.The compressible Navier-Stokes equations are solved di-rectly(no turbulence model)for two dimensional open cavities with laminar boundary layers upstream.The computational do-main is large enough to directly resolve a portion of the radiated acousticfield.The results show a bifurcation from a shear layer mode,for shorter cavities and lower Mach numbers,to a wake mode for longer cavities and higher Mach numbers.The shear layer mode is well characterized by Rossiter modes and these os-cillations lead to intense upstream acoustic radiation dominated by a single frequency.The wake mode is characterized instead by a large-scale vortex shedding with Strouhal number nearly in-dependent the Mach number.The vortex shedding causes the boundary layer to periodically separate upstream of the cavity. Acoustic radiation is more intense,with multiple frequencies present.The wake mode oscillation is similar to that reported by Gharib&Roshko(1987)for incompressible cavityflows with laminar upstream boundary layers.INTRODUCTIONOpen cavities on aircraft and other vehicles are subject to intense pressurefluctuations due toflow/acoustic resonance.Re-sulting internal acoustic loads with sound pressure levels(SPL) in excess of160dB have been measured and these can dam-age stores,fatigue nearby surfaces and components,and lead to intense noise radiation.It has long been known that pas-sive devices,such as spoilers and ramps,can attenuate cav-ity oscillations under certain conditions.More recently at-tention has shifted to introducingflow disturbances actively (e.g.Gharib1987,Vakili&Gauther1991,Lamp&Chokani 1996,Shaw1998),as well as closed-loop feedback control(e.g Cattafesta,Garg,Choudhari&Li1997,Mongeau,Kook& Franchek1998,Kestens&Nicoud1998).Feedback control re-quires a model for the resonant instabilities of the cavity.The cavity resonance is thought to arise from a feedback loop involv-ing(i)shear layer instability and the growth of vortices in the shear layer,(ii)the impingment of the vortices at the downstream edge,and subsequent scattering of acoustic waves,(iii)the trans-mission of acoustic waves upstream,and(iv)their conversion to vorticalfluctuations at the cavity leading edge(receptivity).The first description of this feedback process is credited to Rossiter (1964),who developed a semi-empirical formula to predict the measured resonant ter Tam&Block(1978)de-veloped a linear mathematical model to predict the frequencies.While linear models are effective in predicting the possible frequencies of oscillation,there is as yet no way,for a given set of conditions,to determine the dominant mode of oscillation, the amplitude of oscillation,and nonlinear interactions between modes.Recent experiments by Cattafesta,Kegerise&Jones (1998)have underscored the complicated nonlinear interaction of the different modes,and the possibility of mode-switching. Fabris&Williams(1999)have also recently investigated these issues for low Mach number cavities.The present research ismotivated by the need for detailed information about cavity res-onance in order to develop robust models which can be used for feedback control laws.Previous computations of compressible cavityflows have used the two-dimensional unsteady RANS(Reynold’s Averaged Navier-Stokes)equations with a kεturbulence model(Lamp &Chokani1996,Zhang,Rona&Edwards1998,Fuglsang& Cain1992).The effectiveness of compressible turbulence mod-els on separated oscillatingflows,and especially their radi-ated acousticfield,remains an open question.Our approach is to use Direct Numerical Simulation(DNS)of two and three-dimensional,low Reynolds number cavityflows to provide an ac-curate,detailed description of the instability modes,the acoustic sources,and the generated acousticfield.It needs to be stressed that in the context of two-dimensionalflows,we use the term “direct”simulation to imply that there is no turbulence model.In this case theflow is an unstable laminarflow which is confined to evolve in only two-dimensions.The turbulent cavityflow is of course three-dimensional,but it is thought that in many cases the resonant modes are approximately two-dimensional.Thus we believe that the two-dimensional calculations will provide valu-able data which can be used to develop control laws.Because the acousticfield is also directly resolved in the computations, the resulting database can also be used to investigate the general problem of sound radiation by cavities,including a description of the acoustic sources needed for acoustic analogy theories.This paper summarizes recent simulations performed at Cal-tech for unforced two-dimensional simulations.A more detailed treatment of these results will be presented in a forthcoming pub-lication.COMPUTATIONAL METHODDNS of turbulent compressibleflows is a challenging and CPU intensive computational problem,especially when radiated acousticfields need to be directly resolved.Previous DNS stud-ies(Colonius,Lele&Moin,1997,1994,Mitchell,Lele&Moin, 1995,Freund,Lele&Moin,1998)have stressed the need for highfidelity numerical methods for aeroacoustic problems,and studied their application to the sound generated by turbulent shear layers and jets.Of particular importance is the use of high-accuracy numerical methods with very low numerical dissipation and nonreflecting boundary conditions.To this end,a sixth order compactfinite difference scheme(Lele1992)is employed for spatial derivatives,and the equations of continuity,momentum, and energy for a compressible perfect gas are integrated with an explicit4th order Runge-Kutta scheme.The computational do-main is made large enough to accommodate1to2wavelengths of the radiated acousticfield.Flows with resonance(and globally unstableflows in gen-eral)present further difficulties to traditional numerical meth-ods where numerical artifacts can lead to self-forcing of theflow in a process indistinguishable from the physical instability(e.g. Colonius,Lele&Moin1993).In order to eliminate such ef-fects and to compute the acousticfield accurately,highly accu-rate non-reflecting boundary conditions are used.We rely on the one-dimensional characteristic boundary conditions formulated by Poinsot&Lele(1992),together with the so-called“buffer zone”technique wherefluctuations are artificially damped in a region near inflow/outflow computational boundaries(Colonius et al.1993,Freund1997).While these techniques are not as ac-curate as high-order nonreflecting boundary conditions for linear problems(e.g.Rowley&Colonius1999),they are more effective in situations where large amplitude(nonlinear)fluctuations must exit the domain.For oscillatingflows,it is of critical importance that the boundary locations be determined by careful examina-tion of simulations on different sized computational domains,so that it is assured that the boundary conditions are not responsible for the oscillations.A schematic diagram of the cavity configuration and com-putational domain are shown in Figure1.The upstream laminar Blasius boundary layer is specified along the inflow of the com-putational domain,and is characterized by its projected momen-tum thickness,θ(assuming laminar growth),at the cavity leading edge.The Reynolds number is based on the freestream velocity, U,θ,and the kinematic viscosity in the ambientflow,ν.The Mach number of the freestream is M,and the cavity geometry is specified by its length relative to the momentum thickness,Lθ, and its ratio of length to depth,L D.The wall temperature is held constant and equal to the freestream value,and the Prandtl number is0.7.For simplicity,thefluid properties are held con-stant since there are no imposed temperature -putations are performed in parallel on8to32nodes of an IBM SP computer.Typical resolutions are roughly100points per unit length of cavity.The computational domain extends to roughly 5D and7D upstream and downstream of the cavity leading and trailing edges,respectively,and about9D in the normal direction above the cavity.A nonuniform grid,which clusters node points in the boundary/shear layer region,the cavity bottom,and cavity edges,was used.Grid convergence and boundary locations have been studied in detail.The boundary locations referred to above were sufficiently far from the cavity to have negligible effect on the results,and it was also found that roughly100nodes per unit length of cavity were needed to assure grid independence.For L D=2,this results in roughly400,000nodes.RESULTSModes of OscillationA series of two-dimensional computations have been car-ried out with varying M,Lθ,and L D.The computations revealed an interesting bifurcation in the mode of oscillation of the cavity.As the cavity length is increased,relative to the up-stream boundary layer thickness(holding depth constant),theFigure 1.Schematic diagram of cavity configuration and computational domain.oscillations change character from a “shear layer”mode,for the shorter cavities to a “wake mode”for the longer cavities.The ter-minology is borrowed from Gharib (1987),who noted a similar bifurcation for incompressible cavity flows.The shear layer mode is characterized by the roll-up of vor-tices in the shear layer which impinge on the downstream bound-ary.The frequencies,as discussed in the next section,agree with those predicted by the Rossiter equation,and consist primarily of Rossiter modes 1and 2.There is also a relatively weak vortex in the downstream portion of the cavity,and some interaction be-tween the shear layer and the flow in the cavity.Figure 2shows a snapshot of the vorticity field at a particular phase of the cycle,for L θ=53,L D =2,and M 06.xy-2-10123-112Figure 2.Instantaneous vorticity contours at an instant during the oscil-lation cycle (shear layer mode).15contours between ωDU =-5and 1.67.Positive contours are dashed.L θ=53,L D =2,M 06,R e θ=60.Only a small portion of the computational domain near the cavity is shown.The wake mode is characterized by a large scale shedding from the cavity leading edge,in a manner similar to wake flows.The shed vortex has dimensions of nearly the cavity size,and as it is forming,boundary layer fluid is directed into the cavity.The vortex is shed from the leading edge and ejected from thecavity in a very violent event.The vortex is large enough to cause flow separation upstream of the cavity during its formation,and again in the boundary layer downstream of the cavity as it convects away.Figure 3shows two snapshots of the vorticity field at particular phases of the cycle for L θ=102,L D =4,and M 06.xy-112xy-2-10123456-1012Figure 3.Instantaneous vorticity contours at two different times i duringthe oscillation cycle (wake mode).15contours between ωDU =-5and 1.67.Positive contours are dashed.L θ=102,L D =4,M 06,R e θ=60.Time traces of the normal velocity at y 0and x 075L are show in figure 4,for runs where L θwas varied,with con-stant depth,M 06,and R e θ60.It is evident that the bi-furcation from wake mode to shear layer mode occurs around L θ75.For L θ25,the oscillations are damped and the flow becomes steady.For L θ75,it appears that there is mode switching,with wake and shear layer modes being present at dif-ferent times.The bifurcation is also a function of M ,and for L θ102,shear layer mode exists for M 03and wake mode for M 03.Again,time traces for flows near the bifurcation indicated the presence of mode switching.It is interesting to compare these results with those for the in-compressible cavity (an annular gap in an axisymmetric body in water)studied by Gharib &Roshko (1987).In their experiments,where the upstream boundary layer was also laminar,transition between non-oscillatory,shear layer,and wake modes occurred at L θ80and L θ160.Our data shows that the changeFigure4.Time traces of the normal velocity,relative to U,at y0, x075L for various Lθ.From top to bottom,Lθ123,Lθ102,Lθ75,Lθ53,and Lθ203.The vertical axes have been artificially shifted to show all the data clearly,with major tick marks representing1unit.In all cases,M06,R eθ60.from wake mode to shear layer mode depends also on the Mach number,and further runs are planned to investigate the value of bifurcation in Lθfor lower M.Gharib&Roshko(1987)show that the drag is significantly higher in wake mode(with C D03 and higher),compared to values around0.01to0.02for shear layer mode.Similar values are found in the simulations,with an average C D of0.008for Lθ203,0.031for Lθ75,and 0227for Lθ102.It is not completely clear,at present,what role L D plays in the bifurcation,though preliminary evidence suggests that it is secondary in importance to Lθ.Two calculations with Lθ75,but one for L D3and one for L D4,both yielded mode-switching between shear layer and wake mode,and with very similar frequencies and oscillation amplitudes.The bifurcation could have serious ramifications for the de-sign of active controllers for the cavity that rely on analytical models of the oscillations.The model of Tam&Block(1978), for example,relies on the growth of instability waves in the shear layer,and it would appear that this would only be reliable in shear layer mode.Wake mode appears to be very different,and the data suggest that the wake mode is highly periodic,with a funda-mental Strouhal number which is close to Rossiter mode1,but which shows much weaker variation with M than do the Rossiter modes,which,in turn,are only weakly dependent on Mach num-ber for high subsonic values.Furthermore,additional peaks in the spectra are clearly harmonics of the fundamental frequency, in contrast to the higher Rossiter modes which are non-integral. By contrast,computations in the shear layer mode are not peri-odic,and have peaks in the spectra at non-integral frequencies which appear to correspond closely with Rossiter’s mode1and mode2.It should be noted that the bifurcation from shear layer to wake mode,detected in incompressible experiments and the present compressible computations,appears not to have been noted in previous compressible experiments.The very low Reynolds number of the calculations,and the laminar state of the upstream boundary layer could be the cause of wake mode. For the computations,R eθis on the order of100,which is of the same order as the experiments of Gharib&Roshko(1987), but much lower than any compressible experiments.While it is unlikely that the shear layer dynamics are highly dependent on Reynolds number,even for R eθas low as100,the impact of the oscillations on an upstream laminar boundary layer could be very different than for a turbulent one.The computations show that in wake mode,the boundary layer alternately separates and reattaches well upstream of the cavity edge,due to the oscillat-ing adverse pressure gradient caused by the vortex shedding.A turbulent boundary layer would be much more resistant to such separation and may preclude the emergence of wake mode.In addition there is the possibility of three-dimensional perturba-tions to the resonant instabilities.The cavities used in compress-ible experiments generally have spanwise extent which is not significantly larger than L,which could further enhance three-dimensional aspects of theflow.Clearly more work is needed to definitively resolve the issue.Acoustic FieldAs indicated above,the computations include a portion of the radiated acousticfield.Figure5shows instantaneous views of the acousticfield for M06,and two different cavities, Lθ102(L D4)and Lθ53(L D2).The former is oscillating in wake mode while the latter is in shear layer mode. The acousticfields are quite different.For shear layer mode,the acousticfield,centered at the downstream cavity edge,is domi-nated by a single frequency,corresponding to Rossiter mode2. The most intense radiation occurs at an angle of approximately 145degrees from the streamwise direction.The acousticfield is intense enough to display nonlinear steepening of the waves–the compressions(dark contours)are steeper than the expansions (light contours).The acousticfield in wake mode is much more complex,and displays a wide range of frequencies.Again,there is intense upstream radiation from the cavity edge,but the wave-length is longer by a factor of about2,and the amplitude larger by a factor of about4,compared to the shear layer mode.A very sharp acoustic pulse also emanates from the downstream edge. The origin of this wave is the ejection of the shed vortex from the cavity,depicted infigure3.CONCLUSIONS AND FUTURE WORKTwo-dimensional DNS of compressibleflow over open cav-ities reveal an interesting bifurcation in the mode of oscillation of the cavity when the upstream boundary layer is laminar.For shorter cavities,compared to the upstream boundary layer thick-Figure5.Acousticfield(dilatation)from the DNS.M06,R eθ60. Top:Lθ102(L D4).Bottom:Lθ53(L D2).Contours of dilatation are plotted.The entire domain except the buffer region near the boundaries is shown.ness,and lower Mach numbers the cavity oscillates in a“shear layer”mode,which is consistent with the shear layer instabil-ity/acoustic feedback mechanism of Rossiter(1964).The spectra show peaks corresponding to the(non-integral)Rossiter modes 1and2.Acoustic radiation is intense and directional,but domi-nated by a single frequency corresponding to mode2.For longer cavities,and higher Mach numbers,the cavity oscillations be-come nearly periodic in time,with one cycle corresponding to the growth,shedding,and ejection of a very large vortex.In this “wake mode”,the Strouhal number of the oscillations is nearly independent of Mach number.During growth,the boundary layerfluid is directed into the cavity and the cavity drag is very large.Ejection is accompanied by a sharp acoustic pulse.The vortex is strong enough to cause boundary layer separation both upstream of the cavity,during formation,and downstream of the cavity,after ejection.A similar bifurcation was noted in the in-compressible experiments of Gharib&Roshko(1987)(who also had a laminar upstream boundary layer),but has not been seen in compressible experiments at higher Reynolds numbers.We speculate that when the upstream boundary layer is turbulent,the increased resistance to separation upstream of the cavity may be responsible for the discrepancy.Future work includes(i)further quantification of the modes of oscillation in shear layer mode,and their nonlinear interaction, (ii)determination of the sources of sound for acoustic analogy theories,(iii)three dimensional turbulent simulations,and(iv) simulations of various active control strategies. ACKNOWLEDGMENTThe authors gratefully acknowledges the support of the Na-tional Science Foundation under grant CTS-9501349and the Air Force Office of Scientific Research under grant F49620-98-1-0095.REFERENCESCattafesta,L.N.I.,Garg,S.,Choudhari,M.&Li,F.(1997),‘Active control offlow-induced cavity resonance’,AIAA Paper 97-1804.Cattafesta,L.N.I.,Kegerise,M.S.&Jones,G.S.(1998),‘Ex-periments on compressibleflow-induced cavity oscillations’, AIAA Paper98-2912.Colonius,T.,Lele,S.K.&Moin,P.(1993),‘Boundary condi-tions for direct computation of aerodynamic sound generation’, AIAA Journal31(9),1574–1582.Colonius,T.,Lele,S.K.&Moin,P.(1994),‘The scattering of sound waves by a vortex-numerical simulations and analytical solutions’,Journal of Fluid Mechanics260,271–298. Colonius,T.,Lele,S.K.&Moin,P.(1997),‘Sound generation in a mixing layer’,Journal of Fluid Mechanics330,375–409. Fabris,D.&Williams,D.(1999),‘Experimental measurements of cavity and shear layer response to unsteady bleed forcing’, AIAA Paper99-0605.Freund,J.B.(1997),‘Proposed inflow/outflow boundary condi-tion for direct computation of aerodynamic sound’,AIAA Jour-nal35(4),740–742.Freund,J.B.,Lele,S.K.&Moin,P.(1998),‘Direct simulation of a Mach1.92jet and its soundfield’,AIAA paper98-2291. Fuglsang,D.F.&Cain,A.B.(1992),‘Evaluation of shear layer cavity resonance mechanisms by numerical simulation’,AIAA Paper92-0555.Gharib,M.(1987),‘Response of the cavity shear layer oscilla-tions to external forcing’,AIAA Journal25(1),43–47. Gharib,M.&Roshko,A.(1987),‘The effect offlow oscillations on cavity drag’,Journal of Fluid Mechanics177,501–530. Kestens,T.&Nicoud,F.(1998),‘Active control of an unsteady flow over a rectangular cavity’,AIAA Paper98-2348. Lamp,A.M.&Chokani,N.(1996),‘Active control of compress-ible cavityflows using a small jet’,AIAA Paper96-0446. Lele,S.K.(1992),‘Compactfinite difference schemes with spectral-like resolution’,Journal of Computational Physics 103(1),16–42.Mitchell,B.E.,Lele,S.K.&Moin,P.(1995),‘Direct computa-tion of the sound generated by vortex pairing in an axisymmet-ric jet’,AIAA Paper95-0504.Mongeau,L.,Kook,H.&Franchek,M.A.(1998),‘Active con-trol offlow-induced cavity resonance’,AIAA/CEAS Paper98-2349.Poinsot,T.&Lele,S.K.(1992),‘Boundary conditions for direct simulation of compressible viscousflows’,Journal of Compu-tational Physics101,104–129.Rossiter,J.E.(1964),Wind-tunnel experiments on theflow over rectangular cavities at subsonic and transonic speeds,Techni-cal Report3438,Aeronautical Research Council Reports and Memoranda.Rowley,C.W.&Colonius,T.(1999),‘Discretely nonreflecting boundary conditions for linear hyperbolic systems’,submitted to put.Physics.Shaw,L.(1998),‘Active control for cavity acoustics’,AIAA Pa-per98-2347.Tam,C.K.W.&Block,P.J.W.(1978),‘On the tones and pressure oscillations induced byflow over rectangular cavities’, Journal of Fluid Mechanics89,373–399.Vakili,A.D.&Gauther,C.(1991),‘Control of cavityflow by upstream mass injection’,AIAA Paper91-1645.Zhang,X.,Rona,A.&Edwards,J.A.(1998),‘The effect of trailing edge geometry on cavityflow oscillation driven by a supersonic shear layer’,The Aeronautical Journal pp.129–136.。
流体的特征长度
流体的特征长度The characteristic length of a fluid is an important parameter that influences the behavior of fluid flow. It is a measure of the size of a flow field in a given direction and plays a crucial role in determining the various flow properties and phenomena associated with fluid dynamics.流体的特征长度是影响流体流动行为的重要参数。
它是流场在给定方向上的大小的衡量,并且在确定与流体动力学相关的各种流动特性和现象中发挥着至关重要的作用。
From a physical perspective, the characteristic length of a fluid can be defined as the length scale at which variations in flow properties, such as velocity, pressure, and temperature, become significant. This implies that the characteristic length is a measure of the spatial extent over which these properties change within the flow field.从物理学的角度来看,流体的特征长度可以被定义为流动特性(如速度、压力和温度)变化显著的长度尺度。
这意味着特征长度是衡量这些特性在流场内部变化的空间范围。
In the context of fluid mechanics, the characteristic length is commonly associated with the size of a body or object immersed in the fluid. For example, in the case of a flow over a cylinder, the diameter of the cylinder can be considered as the characteristic length. Similarly, for flow through a pipe, the diameter of the pipe serves as the characteristic length.在流体力学的背景下,特征长度通常与浸泡在流体中的物体的大小相关联。
工程流体力学中流线的英文
工程流体力学中流线的英文In engineering fluid mechanics, a streamline is a line that is tangent to the velocity vector of the flow at any given point. It represents the path that a fluid particle will follow at a specific instant in time. Streamlines are a fundamental concept in fluid mechanics and are used to visualize the flow pattern of a fluid.Streamlines are often used to understand the behavior of fluids in various engineering applications, such as in the design of aircraft wings, the study of river flows, and the analysis of heat transfer in cooling systems. By tracing the streamlines of a fluid flow, engineers can gaininsights into the patterns and characteristics of the flow, which can help in optimizing the design and performance of engineering systems.In mathematical terms, streamlines can be described using the concept of a streamline function, which is a scalar field that satisfies the equation of motion for the fluid flow. The streamline function allows us to calculate the streamlines of a flow by solving the differential equations that govern the motion of the fluid particles.This mathematical approach provides a rigorous and systematic way to analyze the behavior of fluid flow and is essential for understanding complex flow phenomena.Streamlines are also used to visualize the flow field using techniques such as flow visualization and computational fluid dynamics (CFD). These methods allow engineers to simulate and analyze fluid flows in a wide range of engineering applications, providing valuable insights into the performance and behavior of fluid systems.In summary, streamlines are a key concept in engineering fluid mechanics, providing a powerful tool for visualizing and analyzing fluid flows. By understanding the behavior of streamlines, engineers can optimize the design and performance of engineering systems, leading to moreefficient and effective engineering solutions.在工程流体力学中,流线是一条与流动速度矢量在任意给定点相切的线。
水文学原理-中英文专业词
水文学原理Principle of hydrologyChapter 1 绪论绪论:introduction大气圈(aerosphere)水圈(hydrosphere)岩石圈(lithosphere)生物圈(biosphere)人类圈(anthroposphere)中国四大水问题(four major water issues in China)水多(more):洪水(floods)水少(less):干旱(droughts)水浑(turbid):水土流失(soil and water losses)水脏(dirty):水污染(water pollution)水平/垂直结构(horizontal/vertical structure)河流学(potamology/river hydrology) 湖沼学(limnology/lake hydrology) 水库(reservoir)冰川水文学(glacier hydrology) 地下水水文学(groundwater hydrology)水文气象学(hydrometeorology) 积云(cumulus) 河口水文学(estuary hydrology)流域水文学(basin hydrology) 全球水文学(global hydrology)水文学中的环境同位素(environmental isotopes in hydrology)Chapter 2 水文循环水文循环:hydrological cycle海洋蓄水(water storage in oceans) 蒸发(evaporation)凝结(condensation)大气蓄水(water storage in the atmosphere)冰雪蓄水(water storage in ice and snow)降水(precipitation)散发(transpiration)蒸散发(evapotranspiration)升华(sublimation)凝华(desublimation)地表径流(surface/direct runoff)融雪径流(snow melt runoff to streams)河川径流(streamflow)泉水(spring)淡水储存(freshwater storage)下渗(infiltration)地下水出流(groundwater discharge)地下水储存(groundwater storage)大/中/小尺度(macro-scale/mesoscale/microscale)开放/封闭系统(open/closed system)截留(interception)洼地储蓄(depression storage)地下径流(groundflow)壤中流(interflow)总水量(total water)海洋/大陆(oceans/continent)咸水/淡水(saline/fresh water)沼泽(marish)大气水(atmospheric water)生物水(biological water)土壤水(soil water)Chapter 3 流域与水系流域与水系:Watershed & Drainage NetworksPart 1 基本概念分水线(watershed divide) 闭合流域(closed watershed)非闭合流域(unclosed watershed) 水系(Drainage Networks)羽毛状水系(Elongated shape) 平行状水系(fan shape)混合状水系(mixed shape) 坡地(Slope) 倾斜面(inclined plane)收敛曲面(Convergent Camber) 发散曲面(Divergent Camber流域基本单元(Unit)P art 2 水系的地貌特征河源 (headwater) 节点 (node) 出口 (outlet)外链 (External links) 内链 (Internal links) 干流(main river)支流(tributary river) Strahler分级法河流长度(stream length)河数定律(the law of stream numbers) 河长定律(the law of stream lengths)链长度(Link Length) 横断面(Cross section) 纵断面(longitudinal section)大断面(flood cross-section) 弯曲率(Sinuosity)河底比降(Slope of stream bed)Part 3 流域的地貌特征流域形状(Shape of watershed)流域坡度(Slope of watershed)流域面积及面积定律(Drainage area and the law of drainage areas)流域长度和宽度(Width and length of watershed)形态因子(Shape factor)圆度(Circularity ratio) 伸长比(Elongation ratio)河网密度和河道维持常数(Drainage density & constant of channel maintenance)河流频度和链频度 (Stream frequency & link frequency)面积--河长曲线(Drainage area-stream length curve )高程曲线(Elevation curve)Chapter 4 降水降水 (Precipitation)Part 1 降水要素及其时空变化表示方法(Precipitation elements & Temporal and spatial variation)降雨的基本要素(Rainfall Elements)降雨量(深) Rainfall (depth)降雨历时(Rainfall duration) 降雨强度(Rainfall intensity) 降雨面积(Rainfall area) 暴雨中心(Storm center)降雨强度与历时曲线(Rainfall intensity-duration curve)降雨深与面积关系曲线(Rainfall depth-area curve)降雨深与面积和历时关系曲线(Rainfall depth-area-duration curve)Part 2 降雨类型及其影响因素(Types of rainfall and Affecting factors)气旋雨(Cyclonic rain) 对流雨(Convectional/Convectiverain)台风雨(Typhoons/Hurricanes) 地形雨(Orographic rain)锋面雨(Frontal rain) 非锋面雨(Non-frontal rain)Part 3 区域(流域)平均降雨量计算方法(Calculation method of Average rainfall overan area)算术平均法 (Arithmetic mean method) 泰森多边形法 (Thiessen polygon method)等雨量线法 (Isohyetal method) 距离平方倒数法(Inverse distance-squared method)雷达测雨 (Radar measurement of rainfall) 卫星测雨 (Satellitic measurementof rainfall)Part4 降雨资料的检验(Test of rainfall data)Chapter 5 土壤水土壤水(Soil Water)水文循环(Hydrologic Cycle)土壤颗粒(soil particles)过滤(leach)蒸发(evaporation)蒸发,散发(transpiration)水分(moisture)Part 1土壤的质地结构及“三相”关系土壤质地 (Soil texture) 粘粒(clay)粉粒(silt)砂粒(sand)土壤结构 (Soil configuration) 土壤中的“三相”关系 (Three phases within a soil)固体(Solids)液体(Liquids)空气(Vapor)固体密度(solid density) 干容重(Dry bulk density) 孔隙度(Porosity)质量含水率(Gravimetric water content) 容积含水率(volumetric water content)饱和度(the degree of saturation) 充气孔隙度(Aeration porosity)孔隙比(Void ratio)Part 2土壤水的存在形态土壤水作用力(Forces governing soil water) 分子力(Molecular force)毛管力(Capillary force) 粘着力(Adhesion)粘结力(Cohesion)重力(Gravitational force) 土壤水类型 (Soil waterclassification)束缚水(bound water)吸湿水(Hygroscopic Water) 膜状水(Film water)毛管上升水(Ascending water in capillary tube) 渗透重力水(percolating water)毛管悬着水(Suspended capillary water) sustained gravitational water(支持重力水)土壤水分常数 (Soil water constants) 田间持水量(field capacity)Saturation(饱和状态)Part 3土壤水的能量状态土水势 (Soil water potential) 影响因素(Affect the factors)土壤水分特性曲线 (Soil water characteristic curve)Chapter 6 下渗下渗: InfiltrationPart 1 引言(Introduction)土壤水分剖面 (soil moisture profile) 下渗 (infiltration)下渗率(infiltration intensity) 下渗容量(infiltration capacity)下渗曲线(infiltration capacity curve)累积下渗曲线(accumulative infiltration capacity curve)下渗机理(mechanism of infiltration)Part 2 非饱和下渗理论()下渗方程的导出(deduction of infiltration equation)忽略重力作用的下渗方程的解(solution under gravity neglected)完全下渗方程的解(solution under whole condition)Part 3饱和下渗理论()基本方程的建立 establishment of basic equation下渗曲线的导出(deduction of infiltration curve)Chapter 7 蒸发与散发蒸发与散发(Evaporation & Transpiration)Part 1蒸发现象及其控制条件(evaporation and control conditions)基本概念(basic concepts)蒸发潜热 (heat of vaporization)蒸发率(evaporation rate) 凝结潜热 (condensation latent)蒸发能力(evaporation capacity) 蒸发分类 classification of evaporation控制蒸发率的条件 controlling conditions for evaporation 动力条件(dynamic)气象条件meteorological condition 供水条件 (water supply)Part 2 水面蒸发(water surface evaporation)太阳辐射 (solar radiation) 气压 (air pressure) 风速 (wind velocity)温度 (temperature) 湿度 (humidity) 水面大小(water surface area)水面形状(shape of water body) 水深 (water depth) 水质(water quality)理论方法(theoretical method)热量平衡法 (heat balance method)空气动力学法 (aerodynamic method) 混合法 (mixed method)水量平衡法 (water balance method) 经验公式(empirical equation)器测法( instrument-measurement method )水面蒸发的时空分布特点 temporal spatial distribution characteristicsPart 3 土壤蒸发土壤蒸发过程 (soil water evaporation processes)土壤蒸发规律 (soil water evaporation rules)Part 4 植物散发散发现象(phenomena of plant transpiration) 植物散发规律(plant transpiration rules)植物散发的确定 (determination of transpiration)Part 5 流域蒸散发(watershed evapotranspiration)上层(Upper Layer)下层(Lower Layer)深层(Deep Layer)Chapter 8 产流机制产流机制:mechanism of runoff generation径流 (Runoff) 径流形成过程 (Rainfall-Runoff Process)径流深(Runoff Depth) 径流量的时程分配(Temporal distribution of runoff)Part 1包气带及其结构(Aeration (vadose) zone and its structure)包气带和饱水带(aeration zone or vadose zone and Saturdayed zone)特殊包气带(Special aeration zone)三相系统(three-phase system(liquid, gaseous,solid))土壤结构(soil structure)包气带结构(The structure of aeration zone)高寒地带的包气带(aeration zone in a high and cold area)Part 2包气带的水分动态及对降雨的再分配作用(Soil moisture dynamics in aeration zone and its roles in partitioning rainfall)A、包气带水分动态(soil moisture dynamics in aeration zone)包气带水分的增长(Soil moisture increase in aeration zone)包气带水分的消退(Recession of soil moisture in aeration zone)B、包气带对降雨的再分配作用(The role of aeration zone in redistributing rainfall)筛子(sieve)门槛(threshold)C、包气带水量平衡方程式(Water balance equation for aeration zone)Part 3 产流的物理条件(Physical conditions for runoff generation)超渗地面径流(Hortonian overland flow) (Rainfall excess)壤中水径流产流(through flow / subsurface flow / interflow)饱和地面径流条件(saturated overland flow)回归流(return flow)Part 4 基本产流模式 (Basic modes of runoff generation)Chapter 9 地表水流地表水流:surface flowPart 1 洪水波的形成及传播(Formation and propagation of flood wave) A、洪水波运动 (movement wave)a、几何特征(geomtric characteristics)波体(main body of flood wave)波高(wave height)波长(wave length)b、附加比降(additional slope)c、相应流量与相应水位(Corresponding discharge (water levels, stages) )d、波速(wave velocity)e、坦化(attenuation)扭曲(distortion)B、洪水运动的水力学描述(Hydraulic description of flood wave movement)圣维南方程组(Saint-Venant Equations)连续方程(Continuity equation or mass conservation equation)动力方程 (Momentum equation)C、洪水波的分类(Classification of flood wave)空间惯性迁移惯性项(convective inertia term)重力(gravity)时间惯性力局地惯性项(local inertia term)压力(pressure )阻力(friction)D、运动波 (Kinematic wave)E、扩散波 (Diffusion wave)Part 2(Storage theory & storage equation)A、河槽调节作用和河段水量平衡方程(Storage effects of a river channel and waterbalance equation for a reach)蓄满产流(Runoff generation on repletion of storage)超渗产流(Runoff generation in excess of infiltration)B、槽蓄方程(Storage equation)C、洪水波运动的水文学方法(Hydrological method of flood wave movementD 、特征河长(Characteristic river length)F、槽蓄曲线的特性(Nature of Storage-discharge curve)Chapter 10 洪水演算洪水演算 (Flood Routing)Part 1 引言 (Introduction)具有物理基础的洪水演算法 (Physically-based flood routing method)质量守恒(mass conservation)动量守恒(momentum conservation)Part 2 线性扩散波演算法(Linear diffusion wave routing method)定解问题的构成 (Composition of solution problems) 基本解 (Basic solution)出流过程的计算(Derivation of outflow hydrograph) 扩散波(Diffusion wave)入流过程 (Processing of inflow hydrograph) 稳定流(Steady flow)参数的确定 (Determination of parameters) 卷积公式(Convolution formula)上断面洪水过程(inflow hydrograph at upper section)半无限长,自由下边界(semi—infinite long, free lower boundary)简单入流过程(Simple inflow hydrograph) 单位入流过程(Unit Inflow hydrograph)单位矩形入流过程 (Unit Rectangular Pulse Input)单位瞬时脉冲入流(Unit instantaneous Pulse Input)入流过程离散化(Discretizing inflow hydrograph) 汇流曲线(flow concentration curve)Part 3 线性特征河长演算法(Linear characteristic length routing method)描述洪水波运动的基本微分方程式(Basic differential equations of flood wave movement)汇流曲线的确定(Determination of flow concentration curve)Part 4 线性运动波演算法(Linear kinematic wave routing method)运动波差分方程的建立(Difference equation of kinematic wave)数值扩散的概念(Numerical diffusion) 连续演算问题(successive routing)汇流系数的计算(Calculation of flow concentration coefficient)泰勒公式(Taylor formula) 汇流系数(flow concentrationcoefficient)Chapter 11 流域产流流域产流:Watershed Runoff Generation/ProductionPart 1 引言(Introduction)径流 (Runoff) 径流形成过程 (Rainfall-Runoff Process)径流深(Runoff Depth) 径流量的时程分配(Temporal distribution of runoff) Part 2流域产流面积的变化(Variations in runoff producing area)A、现象及原因(Phenomena & Causes)蓄满产流(Runoff generation on repletion of storage)超渗产流(Runoff generation in excess of infiltration)B、蓄满产流条件下总径流的产流面积变化(Variations in the runoff producing area of total runoff under runoff formation on repletion of storage)蓄水容量曲线(Watershed Capacity Curve)流域蓄水容量曲线(Watershed water capacity curve)在降雨空间分布均匀的情况下(Spatial distribution of rainfall is even) C、超渗产流地面径流产流面积变化(Variations in the runoff producing area of surface runoff under runoff formation in excess of infiltration)Part 3 蓄满产流的流域产流量的计算(Computation of total runoff under runoff formation on repletion of storage)总径流量的计算(Computation of total runoff)径流成分的划分(Separation of runoff components)降雨空间分布不均匀情况(Spatial distribution of rainfall being uneven)Part 4超渗产流的流域产流量计算(Computation of total runoff under runoff formation in excess of infiltration)Chapter 12 流域汇流流域汇流:Watershed flow concentrationPart 1 基本概念及数学描述Basic Concepts and mathematical description A、流域汇流的路径Watershed flow paths几何路径 (Geometric paths) 状态路径 (State paths)B、流域汇流时间Watershed flow time of concentration平均流域汇流时间 (Average watershed flow time of concentration)最大流域汇流时间 (Maximum Watershed flow time of concentration)C、径流成因公式Formula for computing the discharge at the watershed outletD、流域调蓄作用Watershed storage effectsPart 2流域汇流系统分析 Analysis of watershed flow concentration system 基于流域调蓄作用的流域汇流系统的数学表达式(Mathematical description of storage-effect-based watershed flow system)流域瞬时单位线(Watershed Instantaneous Unit Hydrograph)卷积公式 (Convolution formula)流域单位线的识别(Determination of unit hydrograph)Part 3面积—时间曲线Time-area histogram等流时线和等流时面积(Isochrones and Inter-isochrone areas)等流时线法(Isochrones Method)Part 4概念性流域汇流模型Conceptual watershed flow concentration models 概念性元件(Conceptual components)“渠道”型 (Canal type) b. “水库”型(Reservoir type)概念性元件的组合及其瞬时单位线(Combination of conceptual components and the corresponding instantaneous unit hydrograph)。
洋流影响下的水下滑翔机动力学建模、运动分析与控制器设计研究
洋流影响下的水下滑翔机动力学建模、运动分析与控制器设计研究一、本文概述Overview of this article随着海洋科技的飞速发展,水下滑翔机作为一种新型的海洋探测设备,其在海洋环境监测、海底资源勘探、海洋灾害预警等领域的应用日益广泛。
然而,水下滑翔机在复杂的海洋环境中运行时,受到洋流、海流、潮汐等多种因素的影响,其动力学特性极为复杂。
因此,深入研究洋流影响下的水下滑翔机动力学建模、运动分析以及控制器设计,对于提高水下滑翔机的运行效率、稳定性和安全性具有重要意义。
With the rapid development of marine technology, underwater gliders, as a new type of marine exploration equipment, are increasingly widely used in fields such as marine environmental monitoring, seabed resource exploration, and marine disaster warning. However, when underwater gliders operate in complex marine environments, they are influenced by various factors such as ocean currents, ocean currents, tides,etc., and their dynamic characteristics are extremely complex. Therefore, in-depth research on the dynamics modeling, motion analysis, and controller design of underwater gliding under the influence of ocean currents is of great significance for improving the operational efficiency, stability, and safety of underwater gliders.本文旨在探讨洋流影响下的水下滑翔机动力学建模方法,分析水下滑翔机在洋流作用下的运动特性,研究控制器设计策略以提高水下滑翔机的运动性能和鲁棒性。
现象阐释型英语作文用的单词
现象阐释型英语作文用的单词英文回答:In the realm of phenomenological explication, language plays a pivotal role in articulating the intricacies of human experience and consciousness. The vocabulary employed in such explications is meticulously chosen to convey the nuances, subtleties, and complexities of subjective phenomena.Key Terms for Phenomenological Explication:1. Intentionality: The inherent directedness of consciousness towards an object or meaning.2. Embodiment: The embodiment of lived experience in our physicality and interaction with the world.3. Temporality: The lived experience of time as a dynamic flow in which past, present, and future intertwine.4. Horizons: The ever-expanding boundaries of consciousness that encompass both our present awareness and potential experiences.5. Lifeworld: The shared, intersubjective realm of everyday experience and meaning-making.6. Empathy: The ability to understand and share the subjective experiences of others.7. Hermeneutics: The art of interpreting and understanding human texts and experiences.8. Intersubjectivity: The shared understanding and communication that exists between people.9. Phenomenology: The philosophical study of subjective experience and consciousness.10. Epochē: The bracketing of presuppositions and biases to allow for a deeper understanding of phenomena.Deploying these terms strategically enables phenomenological explications to capture the richness of lived experience, allowing for a profound understanding of the human condition.中文回答:现象阐释性英语作文用词。
自然现象英文短语
自然现象英文短语The natural world around us is filled with a vast array of phenomena that captivate and intrigue us. From the gentle ebb and flow of the tides to the majestic eruption of a volcano, the language we use to describe these occurrences is as diverse and fascinating as the events themselves. In this essay, we will explore some of the most evocative and descriptive phrases used to capture the essence of natural phenomena.One of the most awe-inspiring natural occurrences is the aurora borealis, also known as the northern lights. This mesmerizing display of dancing lights in the night sky is the result of the interaction between the Earth's magnetic field and charged particles from the sun. The phrase "shimmering curtains of light" perfectly captures the ethereal and otherworldly beauty of this natural phenomenon, as the vibrant hues of green, purple, and pink seem to undulate and sway across the heavens.Another captivating natural event is the volcanic eruption, a violent and powerful display of the Earth's internal forces. The phrase "atowering plume of ash and smoke" vividly describes the towering column of debris that can reach thousands of feet into the air during a volcanic eruption. The term "a river of molten rock" evokes the image of the fiery, glowing lava that flows from the vent, slowly but inexorably consuming everything in its path.The power and majesty of the ocean are also reflected in the language we use to describe its various phenomena. The phrase "crashing waves" conjures up the image of the relentless pounding of the surf against the shore, while "a gentle swell" suggests the rhythmic, undulating motion of the sea. The term "a raging storm" captures the fury of a hurricane or typhoon, with its howling winds and torrential rains, while "a serene, glassy surface" evokes the tranquility of a calm, mirror-like body of water.The natural world is also home to a multitude of atmospheric phenomena, each with its own unique and descriptive language. "A blanket of fog" paints a picture of the thick, opaque mist that can obscure visibility, while "a scattering of clouds" suggests the delicate, wispy formations that dot the sky. The term "a brilliant sunset" evokes the vibrant hues of orange, red, and purple that can paint the sky as the sun dips below the horizon, while "a gentle breeze" conjures up the sensation of a soft, caressing wind.In conclusion, the language we use to describe natural phenomena isa testament to the beauty, power, and complexity of the world around us. From the shimmering curtains of the aurora borealis to the crashing waves of the ocean, these evocative phrases capture the essence of the natural world in a way that inspires awe, wonder, and a deeper appreciation for the incredible forces that shape our planet. As we continue to explore and discover the marvels of the natural world, the language we use to describe them will undoubtedly continue to evolve, reflecting our ongoing fascination with the natural phenomena that surround us.。
非对称流程分离原理
非对称流程分离原理Asymmetric flow separation principle refers to the phenomenon where flow separates from a surface in an asymmetric manner. This occurs when the flow on one side of the surface separates from the surface while the flow on the other side remains attached. 非对称流分离原理是指在一侧的流体与另一侧的流体相比,由于某种原因而分离的现象。
在这种情况下,流体沿表面的一侧会分离,而另一侧的流体仍然保持附着。
One of the reasons for asymmetric flow separation is the presence of adverse pressure gradients. Adverse pressure gradients occur when the pressure of the flow increases in the direction of the flow, leading to flow separation on one side of the surface. 非对称流分离的一个原因是逆压力梯度的存在。
逆压力梯度发生在流体压力在流动方向增加的情况下,导致表面一侧的流体发生分离。
Another reason for asymmetric flow separation is the presence of flow unsteadiness. Flow unsteadiness can cause disturbances in the flow, leading to asymmetric separation of the flow. 非对称流分离的另一个原因是流体的不稳定性。
流体流动英语
流体流动英语Fluid flow refers to the movement of a liquid or gas. It is a fundamental concept in physics, and it has many applications in engineering and science. There are many different types of fluid flow, and they are all characterized by their speed, direction, and other properties.Fluid flow can be divided into two main categories: laminar and turbulent. Laminar flow refers to the type of flow in which the fluid moves in parallel lines. This type of flow is characterized by its low speed and high viscosity. On the other hand, turbulent flow is characterized by irregular eddies and currents in the fluid. This type of flow is characterized by its high speed and low viscosity.There are several factors that affect fluid flow, such as the pressure gradient, fluid density, and viscosity. The pressure gradient is the driving force that causes the fluid to flow, and it is typically expressed in terms of the pressure difference between two points. The fluid density is the mass per unit volume of the fluid, and it affects the fluid flow by causing it to resist changes in velocity. Thefluid viscosity is a measure of its resistance to deformation, and it affects the fluid flow by determining how easily it can be moved.Fluid flow is an important concept in engineering and science. It is used to design and optimize many different types of systems, such as pipelines, turbines, and heat exchangers. Engineers and scientists use mathematical models to predict the behavior of fluids in different situations, and these models are used to design and improve systems. Likewise, understanding fluid flow is critical for many scientific investigations, such as studies of atmospheric phenomena, ocean currents, and blood flow in the human body.流体流动指液体或气体的运动。
第三单元_流体流动现象
There are neither cross—currents nor eddies,this regime is called laminar flow.
在这里既没有横向混合也无涡流,这种流动成为层流。
受固定边界层影响的不可压缩流体的流动现象,存在四个主要影响因素: 1)速度梯度和剪切应力的关系。 2)湍流的发生; 3)边界层的形成与增长; 4)边界层的分离
Laminar flow and Turbulence
层流和湍流
It has long been known that a fluid can flow through a pipe or conduit in two different ways.
将一根玻璃管水平放置于装满水的玻璃容器中。 当打开阀门时,流体(水)可在玻璃管内流穿。
The entrance to the tube was flared,and provision was made to introduce a fine filament of colored water from the overhead flask into the stream at the tube entrance.
The distinction between the two types of flow was first demonstrated in a classical experiment by Osborne Reynolds,reported in 1883.
这两种流体流动行为之间的差别被Osbore于1883年通过了 一个典型实验证实。
空气流动英语
空气流动英语Air FlowThe air around us is constantly in motion, driven by the uneven heating of the Earth's surface by the sun. This flow of air, known as air flow, is a fundamental aspect of our atmospheric system and plays a crucial role in shaping our weather patterns, climate, and even the way we experience our daily lives.At its most basic level, air flow is the movement of air from areas of high pressure to areas of low pressure. As the sun heats the Earth's surface, some areas become warmer than others, causing the air to expand and rise, creating low-pressure zones. Cooler air then rushes in to fill these low-pressure areas, creating the air currents that we experience as wind.The direction and speed of air flow are influenced by a variety of factors, including the Earth's rotation, the distribution of land and water, and the presence of mountains and other geographic features. The Coriolis effect, a phenomenon caused by the Earth's rotation, causes air to deflect to the right in the Northern Hemisphere and to the left in the Southern Hemisphere, creating the familiar patterns ofhigh and low-pressure systems that we associate with weather patterns.The movement of air also plays a crucial role in the distribution of heat and moisture around the planet. As air flows from one region to another, it can pick up or release heat and moisture, leading to the formation of clouds, precipitation, and other weather phenomena. This process is known as the global circulation, and it is responsible for the diverse climates and weather patterns we experience around the world.In addition to its impact on weather and climate, air flow also plays a vital role in our daily lives. The movement of air is essential for the functioning of many of the technologies we rely on, from heating and cooling systems to the engines that power our vehicles. Air flow is also crucial for the dispersal of pollutants and the circulation of fresh air in our indoor environments, affecting the quality of the air we breathe.The study of air flow is a complex and multifaceted field, encompassing everything from the physics of fluid dynamics to the intricate interactions between the atmosphere and the Earth's surface. Meteorologists and climatologists use sophisticated computer models and observational data to study and predict air flow patterns, while engineers and architects design buildings andinfrastructure to optimize air flow for maximum efficiency and comfort.Despite its ubiquity and importance, air flow is often taken for granted in our daily lives. We may not always be aware of the invisible currents that shape our weather, our climate, and our built environment. However, a deeper understanding of air flow can help us appreciate the complexity and beauty of the natural world, and to use this knowledge to improve our lives and our impact on the environment.In conclusion, air flow is a fundamental aspect of our atmospheric system, influencing everything from weather patterns to the way we experience our daily lives. By understanding the principles of air flow and its many applications, we can gain a deeper appreciation for the natural world and work to harness its power for the benefit of humanity and the planet as a whole.。
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Flow phenomena in the exit zone of a circulating fluidized bedUlrike Lackermeier,Joachim Werther *Technische Uni v ersitat Hamburg-Harburg,Arbeitsbereich Verfahrenstechnik 1,21071Hamburg,Germany Recei v ed 19November 2001;recei v ed in re v ised form 23January 2002;accepted 23January 2002AbstractAn experimental in v estigation of the gas and solids flow in a pilot-scale circulating fluidized bed (CFB)cold model with two different abrupt exit configurations (L-shape and extended top)has been carried out.Measurements of axial pressure profiles,high-speed v ideo images of the flow phenomena at the wall as well as local optical probe measurements inside the exit zone are presented.Contrary to published results obtained in bench-scale CFB risers the axial profiles of the apparent solids v olume concentration obtained by pressure measurements showed no indication of an increased solids hold-up in the v icinity of the exit,which confirms the conclusion by Pugsley et al.(Can.J.Chem.Eng.75(1997)1001)that this is a scale effect.The local probe measurements showed the well-known core Áannulus flow structure pre v ailing until the riser top.In the v icinity of the exit this flow structure is superimposed by a strong horizontal v elocity component directed to the exit duct.In comparison to the con v entional L-shaped abrupt exit the extended top does not increase the solids in v entory in the riser.#2002Elsevier Science B.V.All rights reserved.Keywords:Core Áannulus flow structure;Circulating fluidized bed;Abrupt exit configurations1.IntroductionIn gas Ásolid reactions,bustion,but also for heterogeneously catalysed gas-phase reactions the solids hold-up and the residence time distribution of the particles in the reactor are known to be important for the performance of the respecti v e processes.Numerous experimental in v estigations of circulating fluidized bed (CFB)systems published in the literature ha v e shown that different exit geometries (i.e.smooth or abrupt exits)can ha v e a significant influence on the hydro-dynamics within circulating fluidized bed risers,which result in changes of the v ertical distribution of the solids concentration and thus of the solids residence time distribution.Especially for abrupt exit configurations a significant increase of the apparent solids concentration near the exit has been reported for laboratory and bench-scale CFB units with riser diameters below 200mm.To the present authors’knowledge this effect has not been obser v ed in industrial CFB units.Moredetailed in v estigations are therefore desirable for larger riser diameters.In general,two exit geometries can be distinguished:a smooth exit,if the top exit cur v ature is relati v ely gentle and an abrupt exit,where the exit is at a right angle to the mean (v ertical)direction of flow in the riser.In the case of an abrupt exit configuration,the top of the riser is supposed to act more or less like a gas Ásolid separator,as stated by Grace [1].Many of the particles reaching the top due to their inertia may miss the exit,strike the top wall of the v essel and flow back down near the outer wall of the v essel.If the top exit cur v ature is relati v ely gentle on the other hand,in case of a smooth exit,the particles follow the gas streamlines closely enough that most of them lea v e through the exit [1].Some hydrodynamic studies support this v iew.For example,Brereton and Grace [2]in v estigated the influence of abrupt and smooth exit configurations of a bench-scale CFB facility (riser height 9.3m,inside diameter 152mm).Using an abrupt exit an increase in the apparent suspension density was deduced from the measured axial pressure profile,which was attributed to the inertial separation of particles from the gas stream,leading to an increased solids hold-up for a gi v en net circulation rate.A smooth exit,on the contrary,led to a*Corresponding author.Tel.:'49-40-42878-3039;fax:'49-40-42878-2678.E-mail address:werther@tu-harburg.de (J.Werther).Chemical Engineering and Processing 41(2002)771Á783www.else v /locate/cep0255-2701/02/$-see front matter #2002Elsevier Science B.V.All rights reserved.PII:S 0255-2701(02)00008-9radically different shape of the axial pressure profile at the top from which a continuous decrease of the apparent suspension density with height was deduced. Since this effect will reduce solids back-mixing and promote a uniform residence time of particles,as it is desirable in riser cracking or fast pyrolysis reactors,a smooth exit appears to be optimal for such applications. On the other hand,if,as in combustion,it is desirable to increase the total residence time of solids in the reactor and to promote suspension-to-wall heat transfer,an abrupt exit appears to be a better choice[2].Zhou et al.[3Á5]in v estigated v oidage and particle v elocity profiles in a square cross-sectional CFB riser (146)146mm2cross-section,riser height9.14m)with an abrupt exit configuration.According to their fibre optical probe measurements the riser exit caused on the one hand an asymmetric lateral distribution of v oidage near the top of the riser such that the time-a v eraged v oidage on the exit side was lower than on the opposite side.Because of the exit,gas and particles reaching the top of the riser had a horizontal component towards the exit.On the other hand the lateral profiles of particle v elocities were asymmetric,too.The maximum upward v elocity was shifted to the exit side and the wall layer seemed to be thicker on the opposite side.Similar to the results of Brereton and Grace[2]are those obtained by Zheng and Zhang[6,7],who in v esti-gated the influence of smooth and abrupt exit config-urations in a bench-scale CFB unit(riser height5.25m, 0.102m ID).They pointed out that the exit configura-tion could affect the hydrodynamic characteristics of the gasÁsolid two phase flow in a CFB combustor not only in the immediate v icinity of the exit but also for a considerable distance down the column.When using an abrupt exit geometry the solid particles separated from the flow collided with the roof of the abrupt exit and caused an increase of the bulk density in the top region. If a blinded-T geometry was used,a ca v ity was formed between cyclone le v el and the projected roof.Particles coming from the separated flow entered the ca v ity and were thrown up into the free space and underwent an energy con v ersion from kinetic energy to gra v itational potential energy.With increasing altitude of the parti-cles in the ca v ity,the particle v elocity decreased.If the projected roof was not high enough,the decelerated and concentrated flow of particles would collide with the projected roof and this caused the bulk density to increase further.Therefore a riser exit with suitably chosen geometrical design parameters,including the height of projected roof and the contracted exit area, could enhance the internal solids recycling,hence pro-long the residence time of fine char particles and would enhance heat transfer between wall and the gasÁsolid flow in a CFB combustor.Narrowing the bed cross-section near the exit zone Zheng and Jin[8]also showed that this is a simple and effecti v e way to enhance the internal circulation and reduce the external circulation of bed material simultaneously.Their test results showed a peak v alue of the internal circulation of bed material in CFB with a narrowed bed cross-section near the exit zone.After inserting an obstacle into the duct of an abrupt exit Glicksman et al.[9]obtained also an increase of the solids concentration at the top of the riser.Jin et al.[10]and Bai et al.[11]measured the axial distribution of the solids v olume concentration in a plexiglass CFB cold model(riser height11m,140mm ID)using a fibre optical probe as well as the axial pressure profile.If an abrupt exit with a guiding baffle was used,no back-mixing was obser v ed.The axial distribution of the solids concentration was not influ-enced by the exit configuration.A dilute phase at the top and a dense phase at the bottom of the riser were obser v ed.When using a blind-T configuration instead a significant increase of the solids v olume concentration was obser v ed at the top of the riser.They di v ided the exit section into three regions:a turning-back region, where the solids hit the top of the riser,accumulate and change their flow direction;a region of momentum exchange of solid,where a v iolent momentum exchange happens between solids,which turn downward,and those carried upward by the gas and a traditional fast fluidized region,where the influence of the turning-back particles v anished and the solids mo v ed upward.Jin et al.[10]also showed that the length of the region of momentum exchange was mainly affected by the super-ficial gas v elocity.At low gas v elocities,the influence of the upward flowing gas and solids on the particles turning back was small.When the superficial gas v elocity increased,the v elocity of the upward flowing particles increased also,and the momentum exchange between the upward and the downward falling particles became stronger.This led to a decrease of the length of the momentum-exchange region.Pugsley et al.[12]in v estigated the relati v e influence of smooth and abrupt exit configurations on the axial pressure drop profiles in two circulating fluidized bed risers(riser height6m,0.1m ID and riser height12m, 0.2m ID).The axial profile of the pressure gradient shifted to significantly higher v alues when the riser was equipped with an abrupt exit.To predict the axial pressure drop profile they de v eloped a simple empirical model that corresponded well with the experimental data.It was shown that the influence exerted on the axial pressure profile by the abrupt exit configuration was dependent upon the riser diameter and the particle characteristics.They suggested a mechanism in which particles that were reflected by the abrupt exit may reflux along the riser wall to the base of the column if the riser diameter and the particle terminal v elocity were large enough.If the riser diameter was smaller,the refluxing particle layer could attain only a certainckermeier,J.Werther/Chemical Engineering and Processing41(2002)771Á783 772maximum thickness before the particles were re-en-trained upward by the shearing action of the gas phase. Johnsson et al.[13]studied the effect of the exit geometry on the flow pattern in the riser of a cold1/9 scale model of the Chalmers12MW CFB boiler and compared different exit configurations or rather differ-ent ducts between the riser and the cyclone at different fluidization v elocities.They showed that differences between net solids fluxes during operation with different exits were in some cases of one order of magnitude.A decrease in the net solids flux,which means an increase in the internal back-mixing,could be obtained by inserting obstacles in the upper part of the riser.An increase in the net solids flux was achie v ed by narrowing the duct from the riser to the cyclone inlet.Howe v er, there were almost no differences in the solids flux between an abrupt exit,an extended exit and an enhanced extension.Glicksman et al.[14]reported that particles might also pile up in the horizontal duct connecting the riser exit to the primary cyclone.This phenomenon was obser v ed when a plexiglass duct was employed in their study. With sufficient accumulation of particles,some particles slipped back periodically from the horizontal duct into the riser where they mo v ed downward along the wall. The solids hold-up in a CFB riser is dependent on the solid in v entory in the system as well as on the superficial gas v elocity and,as shown by Schnitzlein and Weinstein [15],can be influenced by the system ing an abrupt and a smooth exit configuration in their0.1m diameter riser they showed that higher externally circulating solids fluxes could be obtained with a smooth exit configuration.Wu and Alliston[16]in v estigated the influence of the fluidizing air on the external solids circulation in a plexiglass pilot-scale CFB cold model(riser height10.7 m,610mm ID,with and without extended top and abrupt exit)and obser v ed the flow phenomena from outside.From their v isual obser v ations they concluded that,using the extended riser top,the solids concentra-tion was greater in that part of the riser where the cyclone inlet was located.Clusters of particles dashed into the extended section and some e v en touched the top of the riser.While mo v ing downward,the clusters gained greater momentum,which allowed them to pass through the suction zone of the cyclone inlet and to continue to fall into the riser column.Without the extended section,the particle mo v ement was different. Here most of the area was co v ered with particles that hit the roof and bounced back to the riser because of their impact on the ing different fluidizing v elocities they showed that an increase of the superficial gas v elocity led to an increase of the externally circulating mass flux.Assuming the same amount of bed material and the same superficial gas v elocity both exit config-urations led to different external solids circulation ing an extended section,the solids circulation rate was lower.They concluded that an extended top section caused more entrained bed material to remain in the riser.It should be noted,howe v er,that all the conclu-sions were based on v isual obser v ation of the riser from outside which enables a judgement of the fluid me-chanics in the immediate wall region only.Van der Meer et al.[17,18]in v estigated the influence of the exit design on the flow pattern in a square cross-section riser(0.14)0.14m cross-section,riser height5.1 m).With regard to the solids fluxes,a larger downflow was found at the wall opposite to the exit and in the corners.The maximum upward solids flux was located near the riser centreline,but was shifted towards the exit side.A reflux ratio was suggested which was defined as the ratio of the solids downward flux in the riser and the external solids circulation rate.The exit design had a large effect on the solids reflux ratio leading to v alues in the range of0.11Á2.7.For example,using abrupt exit geometries the reflux ratio increased with increasing height of the extended section.In summary,the literature indicates a marked influ-ence of the exit design on the local CFB fluid mechanics. Howe v er,many conclusions ha v e been drawn from bench-scale in v estigations.Since scale-up is a general problem in fluidized-bed technology it was decided at the beginning of the present work to in v estigate the exit effects on riser hydrodynamics on a somewhat larger scale with a v ariety of measurement methods including pressure measurements,local probe measurements and high-speed v ideo obser v ation from the outside.2.ExperimentalThe experiments were carried out in a circulating fluidized bed cold model with a cross-section of 0.3)1.0m2and a height of8.5m(cf.Fig.1).The fluidizing air is pro v ided by a200kW rootes blower and distributed by20bubble caps at the base of the riser. The solids are separated by a two-stage cyclone system and returned into the riser v ia a siphon at a height of1 m with an angle of458.The externally circulating mass flux is measured by a weighting section in the down-comer pipe.For the obser v ation of flow phenomena from outside se v eral obser v ation windows are installed. To measure the pressure profile along the riser,the riser is equipped with16pressure transducers whereas at the down-comer pipe fi v e pressure transducers are located. The bed material used was quartz sand with a surface mean diameter d p of140m m(terminal v elocity u t01m/ s,minimum fluidization v elocity u mf00.3m/s,both with air at ambient conditions).The facility can be equipped with two different v ersions of an abrupt exit:A so-called L-shaped configuration(as shown in Fig.1)and a T-shapedckermeier,J.Werther/Chemical Engineering and Processing41(2002)771Á783773(blind-T,extended top)configuration.A detailed sketch of the riser top is shown in Fig.2.If an L-shaped exit configuration is used the o v erall height of the riser is 8.5m as mentioned ing a T-shaped configuration an additional section of 0.5m height is added on the top of the riser so that an o v erall riser height of 9.0m is obtained.The transition to the cyclone starts at a heightof 7.57m.It has a width of 0.16m and a height of 0.86m.Local solids v olume concentrations and v elocities were measured by means of a two-channel fibre-optical probe,as shown in Fig.3.The probe as well as the measurement principle ha v e been described in detail by Rensner and Werther [19].Light emitted by a laser diode is sent into the measuring v olume through an optical fibre and is reflected according to the amount of particles in front of the tip.The back-scattered light is detected by a photo diode,which con v erts the signal into an output v oltage.From this output v oltage a local instantaneous solids v olume concentration can be cal-culated using a calibration function [19].ThetwoFig.1.Sketch of the circulating fluidized bedunit.Fig.3.Operating principle of a fibre optical probe and a sketch of the two-channel probe head (dimensions in mm,U 0v oltage).ckermeier,J.Werther /Chemical Engineering and Processing 41(2002)771Á783774sensing surfaces are arranged v ertically abo v e each other at a distance of 2.3mm(see Fig.3).Using cross-correlation of the two signals the v ertical v elocity component of the mo v ing gasÁsolid structure can be determined.In addition,the flow in the exit region was obser v ed from outside v ia a high-speed v ideo camera.The camera was the Kodak Ektapro Motion Analyser1012(EM 1012)with an integrated image intensifier.The v ideo camera in combination with the image intensifier allows frame rates up to6000frames per second(fps),exposure times down to10m s and a picture resolution of 192)239pixels with256grey scale le v els.A tele-lens (f0180mm)was chosen for the obser v ation.For the direct illumination a con v entional photo lamp was used that was positioned at an angle of458to the camera axis to be able to capture structured images due to light-and-shadow effects.To apply image processing methods the frame work of KHOROS(de v eloped by Khoral Research Inc.)was used.KHOROS includes se v eral standard algorithms of signal and image processing where specific user-defined algorithms can be implemented easily.For some algo-rithms MATLAB(MathWorks Inc.)has been used.A detailed description of the applied image processing may be found in Ref.[20].3.Results and discussion3.1.Pressure measurementsAs has been shown by the numerous in v estigations cited abo v e abrupt exit configurations can lead to a significant increase of the apparent solids concentration calculated from the axial pressure profile near the top of the riser.Therefore,as a first approach to in v estigate the fluid mechanics in the exit zone of the CFB riser,the axial profile of the apparent solids concentration was ing the measured axial pressure profile the apparent solids v olume concentration c v,D p has been calculated fromCv;D p 0D pD yg rs(1)where g is the acceleration due to gra v ity and r s is the solids density.In Fig.4the v ertical profiles of the apparent solids v olume concentration,c v,D p,are shown for both exit configurations at different superficial gas v elocities and rates of external solids ing a constant solids in v entory of300kg in the system the superficial gas v elocity was increased from2up to4m/s. At the bottom of the riser high apparent solids v olume concentrations are obser v ed,which rapidly decrease with increasing height.Since a constant solids in v entory is used,the height of the bottom zone decreases with increasing gas v ing either the L-shaped configuration or the T-shaped configuration no increase of the solids concentration at all is obser v ed in the upper part of the riser or near the exit.These results are in good agreement with measurements for instance ob-tained in a1:9scale model of the12MWth CFB combustor at Chalmers[13],at the CFB combustor at Chalmers itself[21]and at the600MWth CFB boiler in Gardanne[22].It might therefore be concluded that the increase of the solids concentration near the exit,which has been reported by other authors,is a small-scale effect,which is typical of bench-scale CFB risers as has been indicated already by Pugsley et al.[12].In addition to the total riser pressure drop the externally circulating solids mass flux G s based on the riser’s cross-sectional area has been measured.Gi v en a constant solids in v entory in the CFB system,the riser in v entory and the external circulation rate G s adjust themsel v es for a preselected fluidizing v elocity u.The dependence of the externally circulating solids mass flux on the pressure drop D p R o v er the riser for different superficial gas v elocities is shown in Fig. 5.With increasing superficial gas v elocity the riser pressure drop decreases and the externally circulating solids mass flux G s increases for both exit configurations. Comparing the results with regard to the different exit configurations,it follows that with the L-shaped con-figuration slightly higher externally circulating rates are obtained for a gi v en solids hold-up,and gas v elocity, respecti v ely.On the other hand,if we look for a gi v en gas v elocity and gi v en G s v alue at the resulting riser pressure drop it seems that a T-shaped exit would lead to a lower riser pressure drop and thus to a lower solids in v entory in the riser.Howe v er,before taking such conclusions one should bear in mind that the accuracy of the G s measurement is fairly low and will probably not be better than910%.Gi v en this inaccuracy it becomes a bit doubtful whether the differences between the two exit configurations are significant.3.2.Analysis of high-speed v ideo imagesFor a detailed in v estigation of the flow phenomena in the wall region of the exit zone high-speed v ideo images were recorded.The high temporal resolution of the v ideo system re v ealed a complex flow structure in the wall layer.The entire two-dimensional flow pattern with different degrees of local turbulence was e v aluated with the systematic methods of digital image analysis.Fig.6depicts an example of the results of the digitally analysed two-dimensional solids v elocity field obtained from two succeeding images(frame rate:1000fps) pro v ided by a two-dimensional correlation technique. The image was subdi v ided into10)12subregions,on which the correlation procedure was applied.For eachckermeier,J.Werther/Chemical Engineering and Processing41(2002)771Á783775subregion a characteristic v elocity v alue is e v aluated,which is drawn in Fig.6as a v elocity v ector (arrow)fixed in the centre of the corresponding subregion.Although the photo shows a v ery irregular flow structure the v elocity field has quite a regular appear-ance.In Fig.7the time-a v eraged v alues of the horizontal and v ertical solids v elocities obtained from the image analysis at different locations on or close to the side wall (z 00.3m,cf.Fig.8)are shown as a function of the distance x from the side wall for the L-shaped exit configuration.For each of the time-a v eraged v elocities a time-inter v al of 1.683s (which corresponds to nine recording periods of 0.182s duration)was taken into account.It can be seen that the horizontal v elocities start with about zero at the left hand wall which isopposite to the exit to the cyclone and increase linearly until v alues between 1.0and 1.5m/s near the entrance of the cyclone.Note that the exit duct leading into the cyclone is between y 07.57and 8.43m.This means that the position relati v e to the entrance of the cyclone is important with respect to the horizontal v elocity.The shorter the distance to the cyclone,the higher the horizontal v elocity.For the different heights within the exit region nearly no influence on the profiles of the horizontal v elocity can be seen.In contrast to the horizontal v elocity,the profiles of the v ertical v elocity components in Fig.7show no influence of the horizontal position x for both exit configurations.Considering the dependence on the v ertical position a slight influence can be seen.The solids flow structures near the top of the riser ha v e downward v elocities between 0.7and 1m/s.With increasing distance from the top the downward v elo-cities increase to v alues between 1.5and 2m/s.This obser v ation may be explained by the fact that at the top of the riser the solids hitting the top wall are returned into the downflow direction.The v elocity at the wall near the top is therefore lower than further down in the riser where the increase of the downward v elocity,with increasing distance from the top,can be explained by the acceleration due to gra v ity and also by the increasing thickness of the wall layer [23].In Fig.8the frequency distributions of the two v elocity components are plotted as grey v alues (the darker the grey v alue,the higher the frequency).Data from 3)3calculation positions,that means a cross-section of 2.66)2.66cm,o v er a time inter v al of 1.683s ha v e been taken into account (10368v elocity v alues).The chosen positions are located in the edges of the obser v ation window.Similar to the results shown before it can be seen,that the downward v ertical velocityFig.4.Profiles of the apparent solids v olume concentrations c v ,D p deduced from the axial pressure profile at different operating conditions for both exitconfigurations.Fig.5.Externally circulating solids mass flux G s and riser pressure drop D p R depending on the superficial gas v elocity for both exit configurations (open symbols:L-shaped exit,closed symbols:T-shaped exit;total solids in v entory 300kg).ckermeier,J.Werther /Chemical Engineering and Processing 41(2002)771Á783776increases with increasing distance from the top wall,whereas the horizontal v elocity increases with decreas-ing distance to the cyclone inlet duct.3.3.Probe measurementsIn order to obtain more detailed information about the flow phenomena inside the exit zone fibre optical probe measurements were carried out at different v ertical and horizontal positions inside the riser top.The different measurement locations are shown in ing the two-channel fibre optical probe,both solids v olume concentrations and v elocities were measured.In Fig.9profiles of the local time-a v eraged solids v olume concentrations along tra v erses perpendicular to the front wall (i.e.in the z -direction,cf.Fig.2)at different distances x from the left side wall (which is the wall opposite to the cyclone inlet)are shown for two different heights inside the T-shaped exit configuration.At a height of 7.9m.i.e.near the of centre the cyclone inlet duct low solids v olume concentrations between 1.5and 2v ol.%are obser v ed in the middle of the riser (z 0150mm),which remain more or less constant in the core region.With increasing proximity to the front wall (z 0300m)the concentration increases to v alues between 2and 2.5v ol.%.This is the same flow pattern *low solids v olume concentrations in the core and higher solids v olume concentrations in the wall region *that pre v ails throughout the whole upper dilute zone.Considering the distance x from the side wall nearly no influence of the v icinity of the exit duct to the cyclone can be obser v ed.E v en the tra v erse measured at x 00.9m,i.e.0.1m before the exit duct,shows the same characteristic core Áannular structure.With increasing height abo v e the gas distributor the solids concentration in the core as well as in the wall region decreases.Inside the extended top abo v e the transition to the cyclone,i.e.at a height of 8.75m,lowFig.6.Two-dimensional flow patterns and instantaneous v elocities in the exit wall region (L-shaped exit configuration,u 03m/s,G s 026.5kg/m 2s,window size 20)16cm 2).Fig.7.E v aluation of high-speed v ideo images:time-a v eraged hor-izontal (v x )and v ertical v elocities (v y )at different locations (L-shaped exit configuration,u 03m/s,G s 026.5kg/m 2s,the exit duct to the cyclone is at x 01m,it starts at y 07.57m and ends at y 08.43m).ckermeier,J.Werther /Chemical Engineering and Processing 41(2002)771Á783777。