《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。
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