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[英] 德拉津(Drazinm.P.C),W.H.Reid,Cambridge Mathematical Library 著
出版社: 世界图书出版公司 ISBN:9787510040672 版次:2 商品编码:10914325 包装:平装 外文名称:Hydrodynamic Stabilty 开本:24开 出版时间:2012-01-01 用纸:胶版纸 页数:605 正文语种:英文
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
流体动力稳定性(第2版) [Hydrodynamic Stabilty] 电子书 下载 mobi epub pdf txt
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图书介绍
☆☆☆☆☆
||
[英] 德拉津(Drazinm.P.C),W.H.Reid,Cambridge Mathematical Library 著
出版社: 世界图书出版公司 ISBN:9787510040672 版次:2 商品编码:10914325 包装:平装 外文名称:Hydrodynamic Stabilty 开本:24开 出版时间:2012-01-01 用纸:胶版纸 页数:605 正文语种:英文
内容简介
The study of hydrodynamic stability goes back to the theoretical work of Helmhoitz (1868), KeMn (1871) and Rayleigh (1879,1880) on inviscid flows and, above all, the experimental investi gations of Reynolds (1883), which initiated the systematic study of viscous shear flows. Reynolds's work stimulated the theoretical investigations of Orr (1907) and Sommerfeld (1908), who inde~pendently considered small, traveling-wave disturbances of an otherwise steady, parallel flow and derived (what is now known as) the Orr-Sommerfeld equation.内页插图
目录
Foreword by John MilesPreface
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
前言/序言
流体动力稳定性(第2版) [Hydrodynamic Stabilty] 电子书 下载 mobi epub pdf txt
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