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 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
前言/序言
流体动力稳定性(第2版) [Hydrodynamic Stabilty] epub pdf mobi txt 电子书 下载 2024
流体动力稳定性(第2版) [Hydrodynamic Stabilty] 下载 epub mobi pdf txt 电子书 2024
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☆☆☆☆☆
不错的书
评分
☆☆☆☆☆
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)
评分
☆☆☆☆☆
《流体动力学稳定性(第2版)(英文版)》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。《流体动力学稳定性(第2版)(英文版)》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。《流体动力学稳定性(第2版)(英文版)》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。
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☆☆☆☆☆
《流体动力学稳定性(第2版)(英文版)》是一部全面流体动力学稳定性的专著。《流体动力学稳定性(第2版)(英文版)》适用于物理、力学专业的研究生、教师和相关的科研人员。
评分
☆☆☆☆☆
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)
评分
☆☆☆☆☆
《流体动力学稳定性(第2版)(英文版)》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。《流体动力学稳定性(第2版)(英文版)》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。《流体动力学稳定性(第2版)(英文版)》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。
评分
☆☆☆☆☆
不错的书
评分
☆☆☆☆☆
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