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书名 流体动力学稳定性(第2版)
分类 科学技术-自然科学-物理
作者 (英)德拉津
出版社 世界图书出版公司
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《流体动力学稳定性(第2版)》是一部全面流体动力学稳定性的专著。首先详细介绍了这个领域的三大主题:流体稳定性、热对流、旋转和弯曲流和平行切变流;接着讲述平行切变流的数学理论、大量的线性理论应用、分层理论和不稳定性。本书尽可能多地囊括涉及到的试验和数值理论,重点强调用到的物理方法和技巧以及书中得到的结果。本书的最大特点是包括了大量的习题,这些习题不仅能够很好的掌握书中的内容,而且也是书中一些疑难知识的更具体解答。目次:导论;热力不稳定性;离心不稳定性;平行切变流;一致渐进逼近;更多有关线性稳定理论;非线性稳定性;附录:广义airy函数。本书由德拉津(Drazin,P.G.)著。

目录

Foreword by John Miles

Preface

1 INTRODUCTION

1 Introduction

2 Mechanisms of instability

3 Fundamental concepts of hydrodynamic stability

4 KeMn-Helmholtzinstability

5 Break-up of a liquid jet in air

Problems for chapter 1

2 THERMAL INSTABILITY

6 Introduction

7 The equations of motion

The exact equations

The Boussinesq equations

8 The stability problem

The linearized equations

The boundary conditions

Normal modes

9 General stability characteristics

Exchange of stabilities

A variational principle

10 Particular stability characteristics

Free-free boundaries

Rigid-rigid boundaries

free-rigid boundaries

11 The cells

12 Experimentalresults

13 Some applications

Problems for chapter 2

3 CENTRIFUGAL INSTABILITY

14 Introduction

15 Instability of an inviscid fluid

Three-dimensional disturbances

Axisymmetric disturbances

Two-dimensionaldisturbances

16 Instability of Couette flow of an inviscid fluid

17 The Taylor problem

Axisymmctric disturbances

Two-dimensional disturbances

Three-dimensional disturbances

Some experimental results

18 The Dean proble

The Dean problem

The Taylor-Dean problem

19 The Gortler problem

Problems for chapter 3

4 PARALLEL SHEAR FLOWS

20 Introduction

The inviscid theory

21 The governing equations

22 General criteria for instability

23 Flows with piecewise-linear velocity profiles

Unbounded vortex sheet

Unbounded shear layer

Bounded shear layer

24 The initial-value problem

The viscous theory

25 The governing equations

26 The eigenvalue spectrum for small Reynolds numbers

A perturbation expansion

Sufficient conditions for stability

27 Heuristic methods of approximation

……

5 UNIFORM ASYMPTOTIC APPROXIMATIONS

6 ADDITIONAL TOPICS IN LINEAR STABILITY THEORY

7 NONLINEAR STABILITY

APPENDIX. A CLASS OF GENERALIZED AIRY FUNCTIONS

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