气体动力学第一讲 概述
合集下载
相关主题
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
• Calculate the effect of area change, heat addition, and friction on flow states in a compressible duct flow, including effects on mass flow rate and flow regime; • Estimate the lift and drag for basic aerodynamic shapes in compressible, inviscid flows; • Perform a numerical simulation of compressible flow through a variable area duct.
Oblique shock wave
• Working equations, Oblique shock analysis, Conical shocks
Prandtl-Meyer Flow
• Analysis of Prandtl-Meyer flow, Shock-expansion interaction
What does compressible flow means?
• The main sources of density variation are: Pressure, Temperature
What are the effects of the density variation (pressure and temperature) on the flow of compressible fluid?
Lecture 1: An Introduction
Course syllabus
Course Objectives:
This course deals with compressible flow that is encountered in many aerospace and mechanical engineering practices and provides deeper knowledge on the effect of compressibility on a flow much more than aerodynamics, fluid mechanics or thermodynamics. This course has a set of objectives that you need to keep in mind during the course of the semester. You should be able to:
Are all fluids compressible?
Are all flows compressible? Is there any relation between compressibility and flow speed? What are the assumptions adopted in the basic analysis of compressible fluids? What are the equations (laws) used in the analysis of compressible fluids? What are the effects of density variation on the design of some aerospace systems?
• Describe assumptions, physical meaning of terms and utilize key relationships for compressible flow, speed of sound, isentropic and nonisentropic flows;
Lecture 1: An Introduction
Course Contents
Control volume analysis
• Material Derivative, Control volume approach, Conservation laws, The stagnation concept, Momentum equation
Course for the GE3 program
Fundamentals of Gas Dynamics
Lecture 1
Prof. Yancheng You(尤延铖) yancheng.you@xmu.edu.cn
Overview
Course syllabus Questions to be answered Review of elementary principles
Lecture 1: An Introduction
Questions to be answered
What does compressible fluid means?
• A fluid which experience a variation in density is called compressible fluid.
• Grading: Homeworks 20%, Quizzes 30%, Final Exam 50%
Lecture 1: An Introduction
Questions to be answered
What does compressible fluid flow means? Why do we need to study compressible fluid flow?
Propulsion systems
• General performance parameters, thrust, power and efficiency, Air-breathing propulsion systems, Rocket Propulsion systems, Supersonic diffusers
• Homeworks are due in class, late homeworks are not accepted.
Exams and Grading
• Quizzes: 2 quizzes about ½ hour each, on weeks 6, 12
• Final exams: the open-book exam will be 2 hours and covers all topics of the course discussed in the class from the first day till the last day.
Lecture 1: An Introduction
Course syllabus
Textbook: Zucker, Robert D. Fundamentals of Gas Dynamics. 2nd ed. Hoboken, N. J: J. Wiley, 2002. https://www.box.com/s/jik368j3u7wxje9emsgo Reference:
Method of Characteristics
• 2D MOC for inviscid supersonic flowpath analysis
Lecture 1: An Introduction
Homeworks
• Attending lectures, reading book and solving examples are not sufficient. You must work HWs yourself
• Doing HWs is your way to a good grade in any course. (cannot emphasize more)
• Try Solving HWs yourself first and if stuck seek help from your teaching assistant or me, 3 exercises every week.
• F. M. White, Fluid Mechanics( with Student DVD). McGraw Hill, ISBN: 9780077422417, 2010. • J. Anderson, Fundamentals of Aerodynamics. ISBN: 9780073398105, McGraw-Hill, 2010. • M. J. Zucrow, and J. D. Hoffman. Gas Dynamics, Vol. 2: Multidimensional Flow. Wiley, ISBN: 9780471018063, 1977. • Liepmann, H. W., and A. Roshko. Elements of Gasdynamics. Dover Publications, ISBN: 0486419630, 2002. • F. M. White, Viscous Fluid Flow. McGraw-Hill, ISBN: 9780071244930, 2006.
Normal shock waves
• Stationary and moving normal shock wave, equations and shocks in nozzles, and application
Lecture 1: An Introduction
Working
Course Contents
Introduction to compressible flows
• Definitions and equations of compressible flow, Sonic velocity and Mach number
Varying-area adiabatic flow
• Isentropic flow, Nozzle operation, diffuser peபைடு நூலகம்formance, Converging and converging-diverging nozzle
Lecture 1: An Introduction
Questions to be answered
• If C p = constant (not function of T ) h C pT
u2 • T0 T ; or u 2C p (T0 T ) 2Cp
• This means that as the difference between static and stagnation temperatures increases, the kinetic energy (velocity) of the flow increases. • Recall that for perfect gas, the density, temperature and pressure are related by perfect gas law. • P RT ; where R gas constant • Therefore, the study of a flow in which the variations of density and temperature are important is called compressible fluid flow or gas dynamics.
• Recall from energy equation that temperature is related to kinetic energy ( u 2 / 2 ). where h0 stagnation enthalpy u2 h0 h h static enthalpy 2 u flow speed • h C p dT ; where C p specific heat at constant pressure
Oblique shock wave
• Working equations, Oblique shock analysis, Conical shocks
Prandtl-Meyer Flow
• Analysis of Prandtl-Meyer flow, Shock-expansion interaction
What does compressible flow means?
• The main sources of density variation are: Pressure, Temperature
What are the effects of the density variation (pressure and temperature) on the flow of compressible fluid?
Lecture 1: An Introduction
Course syllabus
Course Objectives:
This course deals with compressible flow that is encountered in many aerospace and mechanical engineering practices and provides deeper knowledge on the effect of compressibility on a flow much more than aerodynamics, fluid mechanics or thermodynamics. This course has a set of objectives that you need to keep in mind during the course of the semester. You should be able to:
Are all fluids compressible?
Are all flows compressible? Is there any relation between compressibility and flow speed? What are the assumptions adopted in the basic analysis of compressible fluids? What are the equations (laws) used in the analysis of compressible fluids? What are the effects of density variation on the design of some aerospace systems?
• Describe assumptions, physical meaning of terms and utilize key relationships for compressible flow, speed of sound, isentropic and nonisentropic flows;
Lecture 1: An Introduction
Course Contents
Control volume analysis
• Material Derivative, Control volume approach, Conservation laws, The stagnation concept, Momentum equation
Course for the GE3 program
Fundamentals of Gas Dynamics
Lecture 1
Prof. Yancheng You(尤延铖) yancheng.you@xmu.edu.cn
Overview
Course syllabus Questions to be answered Review of elementary principles
Lecture 1: An Introduction
Questions to be answered
What does compressible fluid means?
• A fluid which experience a variation in density is called compressible fluid.
• Grading: Homeworks 20%, Quizzes 30%, Final Exam 50%
Lecture 1: An Introduction
Questions to be answered
What does compressible fluid flow means? Why do we need to study compressible fluid flow?
Propulsion systems
• General performance parameters, thrust, power and efficiency, Air-breathing propulsion systems, Rocket Propulsion systems, Supersonic diffusers
• Homeworks are due in class, late homeworks are not accepted.
Exams and Grading
• Quizzes: 2 quizzes about ½ hour each, on weeks 6, 12
• Final exams: the open-book exam will be 2 hours and covers all topics of the course discussed in the class from the first day till the last day.
Lecture 1: An Introduction
Course syllabus
Textbook: Zucker, Robert D. Fundamentals of Gas Dynamics. 2nd ed. Hoboken, N. J: J. Wiley, 2002. https://www.box.com/s/jik368j3u7wxje9emsgo Reference:
Method of Characteristics
• 2D MOC for inviscid supersonic flowpath analysis
Lecture 1: An Introduction
Homeworks
• Attending lectures, reading book and solving examples are not sufficient. You must work HWs yourself
• Doing HWs is your way to a good grade in any course. (cannot emphasize more)
• Try Solving HWs yourself first and if stuck seek help from your teaching assistant or me, 3 exercises every week.
• F. M. White, Fluid Mechanics( with Student DVD). McGraw Hill, ISBN: 9780077422417, 2010. • J. Anderson, Fundamentals of Aerodynamics. ISBN: 9780073398105, McGraw-Hill, 2010. • M. J. Zucrow, and J. D. Hoffman. Gas Dynamics, Vol. 2: Multidimensional Flow. Wiley, ISBN: 9780471018063, 1977. • Liepmann, H. W., and A. Roshko. Elements of Gasdynamics. Dover Publications, ISBN: 0486419630, 2002. • F. M. White, Viscous Fluid Flow. McGraw-Hill, ISBN: 9780071244930, 2006.
Normal shock waves
• Stationary and moving normal shock wave, equations and shocks in nozzles, and application
Lecture 1: An Introduction
Working
Course Contents
Introduction to compressible flows
• Definitions and equations of compressible flow, Sonic velocity and Mach number
Varying-area adiabatic flow
• Isentropic flow, Nozzle operation, diffuser peபைடு நூலகம்formance, Converging and converging-diverging nozzle
Lecture 1: An Introduction
Questions to be answered
• If C p = constant (not function of T ) h C pT
u2 • T0 T ; or u 2C p (T0 T ) 2Cp
• This means that as the difference between static and stagnation temperatures increases, the kinetic energy (velocity) of the flow increases. • Recall that for perfect gas, the density, temperature and pressure are related by perfect gas law. • P RT ; where R gas constant • Therefore, the study of a flow in which the variations of density and temperature are important is called compressible fluid flow or gas dynamics.
• Recall from energy equation that temperature is related to kinetic energy ( u 2 / 2 ). where h0 stagnation enthalpy u2 h0 h h static enthalpy 2 u flow speed • h C p dT ; where C p specific heat at constant pressure