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气体动力学基础(Fundamentals of Gas Dynamics)
第4次开课
开课时间: 2024年09月01日 ~ 2025年01月26日
学时安排: 3小时每周
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课程概述

气体动力学是航空宇航科学与技术学科的一门重要基础课程,是飞行器与发动机气动设计的理论基础,同时也与海洋、大气、建筑、制药、车辆等学科密不可分。为了使学生快速掌握专业术语,本课程采用全英文授课,对应教材为Robert Zucker与Oscar Biblanz主编的Fundamentals of Gas Dynamics第二版,该教材条理清晰,语言简洁易懂,尤其适合具有一定流体力学基础的本科学生。课程内容将围绕可压缩气体展开,内容涵盖了背景知识回顾、控制体方法介绍、可压缩流动简介,变截面管道流动,正激波,斜激波,普朗特梅耶流动,范诺流动,瑞利流动等等。通过本课程的学习,学生应当掌握气体动力学的相关知识并能够进行简单应用,为未来解决实际工程问题打下坚实的基础。

课程大纲

Chapter1 Introduction

1-1-Course Syllabus & Course Contents

1-2-Review of Elementary Principles

1-3-First Law of Thermodynamics & Perfect Gases

Introduction test

Chapter2 Control Volume Analysis

2-1-Introduction, Objectives & Material Derivative

2-2-Control Volume Approach

2-3-Conservation of Mass

2-4-Conservation of Energy-1

2-5-Conservation of Energy-2

2-6-Summary

Control Volume Analysis test

Chapter3 Control Volume Analysis

3-1-Introduction, Objectives & Comments on Entropy

3-2-Pressure-Energy Equation & The Stagnation Concept

3-3-Stagnation Pressure-Energy Equation

3-4-Consequences of Constant Density

3-5-Momentum Equation

3-6-Summary

Control Volume Analysis test

Chapter4 Introduction to Compressible Flow

4-1-Introduction & Objectives

4-2-Sonic Velocity and Mach Number

4-3-Wave Propagation

4-4-Equations for Perfect Gases in Terms of Mach Number

4-5-H-s and T-s Diagrams & Summary

Compressible Flow test

Chapter5 Varying-Area Adiabatic Flow

5-1-Introduction & Objective

5-2-General Fluid – No losses

5-3-Perfect Gases with Losses

5-4-The ∗ Reference Concept

5-5-Isentropic Table

5-6-Nozzle Operation

5-7-Nozzle Performance

Varying-Area Adiabatic Flow test

Chapter6 Standing Normal Shock

6-1-Introduction

6-2-Shock Analysis for General Fluids

6-3-Working Equations for Perfect Gases

6-4-Normal Shock Table

6-5-Shocks in Nozzle

Standing Normal Shock test

Chapter7 Moving and Oblique Shocks

7-1-Introduction

7-2-Normal Velocity Superposition

7-3-Tangential Velocity Superposition-1

7-4-Tangential Velocity Superposition-2

7-5-Oblique Shock Analysis

7-6-Boundary Flow Direction

7-7-Boundary Pressure Equilibrium

7-8-Conical Shock

Moving and Oblique Shocks test

Chapter8 Prandtl Meyer Flow

8-1-Introduction

8-2-Augement for Isentropic Flow-1

8-3-Augement for Isentropic Flow-2

8-4-Analysis of PM Flow

8-5-Over Expanded Nozzles

8-6-Under Expanded Nozzles

Prandtl Meyer Flow test

Chapter9 Fanno Flow

9-6-Reference State and Fanno Table

9-7-Correlation with Shocks

9-8-Summary

9-1-Introduction & Objectives

9-2-Analysis for a General Fluid-1

9-3-Analysis for a General Fluid-2

9-4-Working equations for Perfect Gases-1

9-5-Working equations for Perfect Gases-2

Fanno Flow test

Chapter10 Rayleigh Flow

10-1-Introduction & Objectives

10-2-Analysis for a General Fluid-1

10-3-Analysis for a General Fluid-2

10-4-Analysis for a General Fluid-3

10-5-Working equations for Perfect Gases

10-6-Reference State & Rayleigh Table

10-7-Thermal Choking due to Heating

10-8-Summary

Rayleigh Flow test

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预备知识

在学习本门课程之前,需具有一定的大学数学,大学物理,流体力学相关基础知识

参考资料

朱克勤,许春晓,粘性流体力学[M],高等教育出版社,2009.

丁祖荣,流体力学[M]. 2版. 北京:高等教育出版社,2013.

王新月,气体动力学基础[M]. 西安:西北工业大学出版社,2006.

童秉纲,孔祥言,邓国华,气体动力学[M]. 北京:高等教育出版社,1989.

潘锦珊,气体动力学基础[M]. 北京:国防工业大学出版社,1989.

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