流體動力穩定性（第2版） [Hydrodynamic Stabilty] 下載 mobi epub pdf 電子書 2025

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內容簡介

　　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.

內頁插圖

目錄

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

流體動力穩定性（第2版） [Hydrodynamic Stabilty] 下載 mobi epub pdf txt 電子書 格式

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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）

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《流體動力學穩定性(第2版)(英文版)》是一部全麵流體動力學穩定性的專著。《流體動力學穩定性(第2版)(英文版)》適用於物理、力學專業的研究生、教師和相關的科研人員。

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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.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.

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