Research on Simulating Structural Parameters’ Impact on the Flow of Two Phases in Separator

The Motion Analysis of Loose Material on the Horizontally CircleVibrating DrierZhenwei Zhang1,a, Chengming Kang1,b, Xianglei Ji1,c, Tao Zhou1,d1School of Mechanical Engineering and Automation, Northeastern University, Shenyang, Liaoning,110004, Chinaa zzw1658@,b sy2010_adlso@,c jixianglei2008@,d zhoutao5081714@Keywords: Loose Material, Motion Analysis, Operating TimeAbstract.This article sets up the equations of material in the horizontally circle vibrating drier. According to basic theories of hydrodynamic and vibration, which gets the operating period and time expression of the material on the single hole panel of drier. According to equations, model erected on the computer simulate operating time of the material in the random position of the drier. The imitating data can match practical ones very well.IntroductionVertical multi-layer vibration drier has been widely used in variety of fields and according to the selected type of the qualitative experiment or the experience to decide. It has not been reported that the running time and drying time of the material in the machine is required to match. The vast majority of manufacturers will select models firstly and then begin to site commissioning. If the running time is not enough, the adjustment will fail to meet requirements on the use of dry times, then use the method that dries with many times to result in great trouble. Therefore, it is an actual meaningful work to establish the material walking mathematical models which simulate results to match with the actual ones, and compare simulation results with that of the specific materials calculated by the heat balance to adjust the dry layers.Structure and Working PrincipleThe structure of the horizontal circle vibration drier is shown in Fig. 1. It is mainly composed that 1. Vibration isolation springs 2.frame 3.the vibration motor. The host has a multi-layer drying cylinder. The drying cylinder is constituted by the inside and outside two concentric cylinders. Each space is arranged horizontal the orifice. Each orifice along the radial direction opens blanking mouth. The part of the inner cylinder open cloth wind hole. The bottom of the machine equips with two sets of cross arrangement of the vibration motor .Machine body is composed of a plurality of vibration isolation spring supported on the frame. The drier is working in the super resonance area. Two vibration motors synchronous reverse rotation. At both ends of vibrating motor spindle is the eccentric block to generate centrifugal force in order to produce a vertically reciprocating harmonic vibration a torsional vibration which along the axis of the drier. Loose material is from the feed port into the top level, moving into the next layer in the role of vibration horizontal circular motion. The hot air moves from the inner tube of cloth wind hole into two layers between the drying cylinders. Step by step down, the hot air passes through the orifice and materials to transfer mass heat to materials on the floor, then runs up layer by layer. An objective point of view about drying is countercurrent and convection.Fig. 1 Horizontally circling Fig. 2 Forces analysis Fig. 3 The material runningvibrating drier of materialMotion Analysis Analysis Materials in the Stress of the Working Surface. The force of the material in the working surface is divided into the plumb plane direction and horizontal force (Fig. 2.forces). The force of orifice plate material includes thrown force N, hot air resistance R, gravity G and friction f in the horizontal plane. The article ignores the force between materials.Simplify Assumption and Define Conditions. Simplify assumption:(1)The material is an ideal medium of loosing and without reunion.(2)The Materials don’t slide relatively on the working surface before the Materials don’t toss.(3)The material having the same angular velocity and angular acceleration on the annular working surface before they are tossed. On the center line of working surface of the two materials will fall down the center line of working surface again after its a cycle of movement running(Fig 3 is running the material).According to the simplified one, the running materials have nothing to the relative position of the working face, but they due to angular velocity. Because the material has the size of walking step in the drier much less than the radius of the drier’s face in the single cycle, so the running track of material can be regarded as an infinite polygon.The Determination of the Vibration Amplitude. The synthesis amplitude of this inertial vibrating drier can be measured through the experiment and can also be calculated by formula[1].Vertical amplitude and horizontal torsional amplitude formula respectively.A z = (2ρcos γ)/(M 0ω2)φ = (2Pasinγ)/ (I z ω2) (1)The type of the formula:P — Exciting force of the vibration motor) (N);γ — Motor installation Angle (rad);Mo — The quality of vibrating body (Kg);ω — Motor angular frequency (rad/s);a — Motor mounting plate half of the distance (m);Iz — The moment of inertia vibrating machine (kg·m2).Analysis Motion of Vibration Face. Principle diagram: material lead direction displacement Sz, along the orifice plate tangent displacement Sφ, synthetic displacement S.Fig. 4 Displacement analysis of material Fig. 5 Simulating picture of material runningA drier in harmonic vibration level circular moves for the synthesis of vertical and torsional vibrations [2]. The displacement formula is:S z = A z sinωtS φ = φsinωt (2)The type of the formula:S z — The displacement of plumb direction (m);Sφ — The torsional displacement of horizontal direction (m);Az — Vertical amplitude (m);ω — Vibration angular frequency (rad/s).Speed expression for:z = ωA z cosωdS φ = ωφcosωt (3)Acceleration expression for:d 2S z = -ω2A z sinωtd 2S φ = -ω2φsinωt (4)Establish the mechanical balance equation for:-m(a z + △.. Z) + N + R – G = 0-m(a ω + △.. Φ) + f = 0 (5)The type of the formula:△.. Z — The acceleration of materials relative to the working face in the vertical direction; △.. Φ — The angular acceleration of materials relative to the working face in the horizontal direction;R — The hot air resistance [3].R = ξ(πd 2/4)(ρξ/2)(V-Vz-∆. Z)2 (6)The type of the formula:ξ — between the particles and air resistance coefficient;ρξ — Density of the gas;πd 2/4 — Particles perpendicular to the flow direction of the largest cross-sectional area;∆. Z — Particles relative to the speed of the plane of vibration.Set up:C = ξ(πd 2/4) (ρξ/2) (7)Then:R = C (V-V Z -∆. Z)2 (8)According to the theory of vibration, the materials in the drier jump throwing movement to make sure the material running speed and its running time and must determine the time of material from the working face to the working face. Force analyses the material being thrown up moments are:-m (a z+△.. Z) +R-G = 0 (9)Tide up:ω2Azsinωt+c/m (v-ωAzcosωt) 2-g = △.. Z +2c/m (v-ωAzcosωt) ∆. Z -(c/m) ∆. Z 2 (10)The materials leave work face for the moment in a cycle of jumping: t d. When t= t d, ∆.. Z =0, ∆. Z =0 into type available:ω2Azsinωt+c/m (v-ωAzcosωt) 2-g = 0 (11)When sinωt d = [mg-c (v-ωA z cosωt d) 2]/ (mω2A z), we can get time of material thrown up t d. Material Running Averages of Angular Velocity and Remain Time in the Drier. When the materials in the working face are being tossed up, the horizontal direction of the dynamics balanced equation is:aω+∆.. Φ = 0 (12)The solvability of Initial Conditions.t0 = t d, ∆φ = 0, ∆φ = 0∆φ = [ωφcos(ωt d)]t-φsin(ωt)+φsin(ωt d)-[ωφcos(ωt d)] (13)When the type of time t is equal to the material falling back to working face again, the materials are working in throwing a cycle surface angle∆φ. The materials tossed angle is π/12 in the working surface. Assume that materials in the layer of orifice plate need to run the heave cycle number are n, then:n = (2π-π/12)/ ∆φ (14)And then get the material in the drier operation time.T = n (t-t d) (15)Simulate Results and AnalysisWhen the quality of materials, velocity of materials, angular frequency of materials, vertical amplitude of materials, torsional amplitude of materials is m= kg v=1m/s w=100rad/s 0.002m 0.00036rad, materials operating simulation values in a single casting cycle is shown in Fig. 5 [4]. ConclusionThrough the analysis of loose material on the horizontally circle vibrating drier to establish the mathematical model of the material in the machine operation time in a certain simplified conditions. Numerical calculations and simulations to get the single material casting cycle of running track and the running time of the machine at any position by changing the angle of installation. The drier designed and debugged are of practical guiding significance.References[1] B.C. Wen: Vibration Feeder Vibrating Conveyor Design and Debug (Chemical Industry Press,China 1989).[2] G.H. Mei:Vertical Vibration Conveyer and Movement Studies(Mining Machinery, China2000).[3] Y.K. Pan, Modern Drying Technology (Chemical Industry Press, China 1998).[4] J.Z. Dai:Numerical Solution of Differential Equations (Southeastern University press,China2002).[5] G.W. Liu: Drying Equipment Desingn Manul (Machinery Industry Press, China 2009).[6] B.S. Ma: Chemical Equipment (Chemical Industry Press, China 2007).。