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  • 流体动力学稳定性(第2版)(英文版)[平装]
  • 共4个商家     57.30元~68.25
  • 作者:德拉津(P.G.Drazin)(作者)
  • 出版社:世界图书出版公司北京公司;第1版(2012年1月1日)
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  • ISBN:9787510040672

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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。

    作者简介

    作者:(英国)德拉津(P.G.Drazin)

    目录

    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

    文摘

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    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.