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流體動力學穩定性(第2版)(簡體書)
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流體動力學穩定性(第2版)(簡體書)

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《流體動力學穩定性(第2版)(英文版)》首先詳細介紹了這個領域的三大主題:流體穩定性、熱對流、旋轉和彎曲流和平行切變流;接著講述平行切變流的數學理論、大量的線性理論應用、分層理論和不穩定性。《流體動力學穩定性(第2版)(英文版)》盡可能多地囊括涉及到的試驗和數值理論,重點強調用到的物理方法和技巧以及書中得到的結果。《流體動力學穩定性(第2版)(英文版)》的最大特點是包括了大量的習題,這些習題不僅能夠很好的掌握書中的內容,而且也是書中一些疑難知識的更具體解答。

作者簡介

作者:(英國)德拉津(P.G.Drazin)

名人/編輯推薦

《流體動力學穩定性(第2版)(英文版)》是一部全面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)》適用于物理、力學專業的研究生、教師和相關的科研人員。

目次

Foreword by John Miles
Preface
1 INTRODUCTION
1 Introduction
2 Mechanisms of instability
3 Fundamental concepts of hydrodynamic stability
4 Kelvin-Helmholtz instability
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, 34:The Boussinesq equations,35
8 The stability problem
The linearized equations, 37:The boundary condi-tions, 40:Normal modes, 42
9 General stability characteristics
Exchange of stabilities, 44:A variational principle,45
10 Particular stability characteristics
Free-free boundaries, 50:Rigid-rigid boundaries,51:free-rigid boundaries, 52
11 The cells
12 Experimental results
13 Some applications
Problems for chapter 2
3 CENTRIFUGAL INSTABILITY
14 Introduction
15 Instability of an inviscid fluid
Three-dimensional disturbances, 73:Axisymmetric disturbances, 77:Two-dimensional disturbances, 80
16 Instability of Couette flow of an inviscid fluid
17 The Taylor problem
Axisymmetric disturbances, 90:Two-dimensional disturbances, 103:Three-dimensional disturbances,104:Some experimental results, 104
18 The Dean problem
The Dean problem, 108:The Taylor-Dean prob-lem, 113
19 The G6rtler 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, 145:Unbounded shear layer, 146:Bounded shear layer, 147
24 The initial-value problem
The viscous theory
25 The governing equations
26 The eigenvalue spectrum for small Reynolds numbers
A perturbation expansion, 159:Sumcient conditions for stability, 161
27 Heuristic methods of approximation
The reduced equation and the inviscid approxima-tions, 165:The boundary-layer approximation near a rigid wall, 167:The WKBJ approximations,167:The local turning-point approximations,171:The truncated equation and Tollmien's improved viscous approximations, 175:The viscous correction to the singular inviscid solution, 177
28 Approximations to the eigenvalue relation
Symmetrical flows in a channel, 181:Flows of the boundary-layer type, 183:The boundary-layer approximation to φ3(z), 184:The WKBJ approxi- mation to φ3(z), 185:The local turning-point
approximation to φ3(z), 188:Tollmien's improved approximation to φ3(z), 191
29 The long-wave approximation for unbounded flows
30 Numerical methods of solution
Expansions in orthogonai functions, 203:Finite- difference methods, 206:Initial-value methods (shooting), 207
31 Stability characteristics of various basic flows
Plane Couette flow, 212:Poiseuille flow in a circular
pipe, 216:Plane Poiseuille flow, 221:Combined
plane Couette and plane Poiseuille flow, 223:The
Biasius boundary-layer profile, 224:The asymptotic suction boundary-layer profile, 227:Boundary layers at separation, 229:The Falkner-Skan profiles, 231:The Bickley jet, 233, The hyper-bolic-tangent shear layer, 237
32 Experimental results
Problems for chapter 4
5 UNIFORM ASYMPTOTIC APPROXIMATIONS
33 Introduction
Plane Couette flow
34 The integral representations of the solutions
35 The differential equation method
General velocity profiles
36 A preliminary transformation

APPENDIX.A CLASS OF GENERALIZED AIRY FUNCTIONS
Addendum:Weakly non-parallel theories for the Blasius boundary layer
Solutions
Bibliography and author index
Motion picture index
Subject index

書摘/試閱



An important limitation of Landau's theory is due to the assump-tion that the interaction of only one mode and its harmonics need be considered. This assumption is plausible if the igenfunctions of the linearized problem are discrete and simple, so that when the flow is slightly unstable only one normal mode is unstable and all the others decay. When the flow is in an unbounded domain, however, the eigenfunctions depend continuously on a real wavenumber. Then a wavepacket of modes is unstable when the flow is slightly unstable.
This in fact occurs for most of the cases we have treated. For example, Fig. 2.2(a) shows that, when a fluid at rest between infinite horizontal planes is heated from below and the Rayleigh number R is slightly supercritical, there is a small band of unstable waves, say a1(R)<>
Side-band instability. In considering the stability of the bifurcated equilibrium solutions of the Landau equation, we have found subcritical instability and supercritical stability. But this finding was based upon solutions of only the Landau equation, not of the equations of motion of a fluid from which the Landau equation was derived.

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優惠價:87 392
無庫存,下單後進貨
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