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1.

図書

図書
Tai-Peng Tsai
出版情報: Providence, R.I. : American Mathematical Society, c2018  xii, 224 p. ; 27 cm
シリーズ名: Graduate studies in mathematics ; v. 192
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2.

図書

図書
Geoffrey K. Vallis
出版情報: Cambridge : Cambridge University Press, 2017  xviii, 946 p. ; 26 cm
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3.

図書

図書
Michael Le Bars, Daniel Lecoanet, editors
出版情報: Cham : Springer, c2020  vii, 241 p. ; 25 cm
シリーズ名: CISM courses and lectures ; 595
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4.

図書

図書
by S. Chandrasekhar
出版情報: Oxford : Clarendon Press, 1961  xix, 652 p., [15] leaves of plates ; 25 cm
シリーズ名: The international series of monographs on physics
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5.

図書

図書
Jean Pierre Boon, Sidney Yip
出版情報: New York ; London : McGraw-Hill, c1980  xvii, 417 p. ; 24cm
シリーズ名: Advanced book program
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6.

図書

図書
John D. Anderson, Jr
出版情報: New York : McGraw-Hill, c1982  xiii, 466 p. ; 24 cm
シリーズ名: McGraw-Hill series in mechanical engineering
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目次情報: 続きを見る
Compressible Flow - Some History and Introductory Thoughts / 1:
Integral Forms of the Conservation Equations for Inviscid Flows / 2:
One-Dimensional Flow / 3:
Oblique Shock and Expansion Waves / 4:
Quasi-One-Dimensional Flow / 5:
Differential Conservation Equations for Inviscid Flows / 6:
Unsteady Wave Motion / 7:
General Conservation Equations Revisited: Velocity Potential Equation / 8:
Linearized Flow / 9:
Conical Flow / 10:
Numerical Techniques for Steady Supersonic Flow / 11:
The Time-Marching Technique: With Application to Supersonic Blunt Bodies and Nozzles / 12:
Three-Dimensional Flow / 13:
Transonic Flow / 14:
Hypersonic Flow / 15:
Properties of High-Temperature Gases / 16:
High-Temperature Flows: Basic Examples / 17:
An Illustration and Exercise of Computational Fluid Dynamics / Appendix A:
Compressible Flow - Some History and Introductory Thoughts / 1:
Integral Forms of the Conservation Equations for Inviscid Flows / 2:
One-Dimensional Flow / 3:
7.

図書

図書
Rutherford Aris
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1962  xiv, 286 p. ; 24 cm
シリーズ名: Prentice-Hall international series in the physical and chemical engineering sciences
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8.

図書

図書
edited by David L. Book ; with contributions by Jay P. Boris ... [et al.]
出版情報: New York : Springer-Verlag, c1981  viii, 226 p. ; 24 cm
シリーズ名: Springer series in computational physics
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9.

図書

図書
organised and sponsored by BHRA, the Fluid Engineering Centre ; co-sponsored by the U.K. Atomic Energy Authority, Windscale Nuclear Laboratories, the British Nuclear Energy Society and the International Association for Hydraulic Research ; [editor: Roger King]
出版情報: Cranfield : BHRA, 1987  x, 604 p. ; 30 cm
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10.

図書

図書
John G. Collier
出版情報: New York ; London : McGraw-Hill International Book Co., c1981  xxxii, 435 p. ; 26 cm
シリーズ名: Advanced book program
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目次情報: 続きを見る
Introduction / 1:
The Basic Models / 2:
Empirical Treatments of Two-Phase Flow / 3:
Introduction to Convective Boiling / 4:
Subcooled Boiling Heat Transfer / 5:
Void Fraction and Pressure Drop in Subcooled Boiling / 6:
Saturated Boiling Heat Transfer / 7:
Critical Heat Flux in Forced Convective Flow / 8:
Vertical Uniformly Heated Tubes
More Complex Situations / 9:
Condensation / 10:
Conditions Influencing the Performance of Boiling and Condensing Systems / 11:
Multi-Component Boiling and Condensation / 12:
Appendix
Index
Introduction / 1:
The Basic Models / 2:
Empirical Treatments of Two-Phase Flow / 3:
11.

図書

図書
Julian Szekely
出版情報: New York : Academic Press, 1979  xix, 437 p. ; 24 cm
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12.

図書

図書
edited by Lokenath Debnath
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1983  360 p. ; 24 cm
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目次情報: 続きを見る
Nonlinear Waves in Fluids / Part I:
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1:
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2:
Solitary Waves in Slowly Varying Environments: Long Nonlinear Waves / R. Grimshaw3:
Nonlinear Waves in a Channel / M. C. Shen4:
Soliton Behaviour in Models of Baroclinic Instability / Irene M. Moroz ; John Brindley5:
Waves and Wave Groups in Deep Water / Peter J. Bryant6:
Two- and Three-Wave Resonance / Alex D. D. Craik7:
Nonlinear waves in Plasmas / Part II:
Nonlinear Electromagnetic Waves in Flowing Plasma / N. E. Andreev ; V. P. Silin ; P. V. Silin8:
Superluminous Waves in Plasmas / P. C. Clemmow9:
Electrostatic Ion Cyclotron Waves and Ion Heating in a Magnetic Field / H. Okuda10:
Solitons in Plasma Physics / P. K. Shukla11:
A Theory for the Propagation of Slowly Varying Nonlinear Waves in a Non-Uniform Plasma / R. J. Gribben.12:
Nonlinear Waves in Fluids / Part I:
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1:
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2:
13.

図書

図書
edited by R.J. Emrich
出版情報: New York : Academic Press, 1981  2 v. (xx, 877 p.) ; 24 cm
シリーズ名: Methods of experimental physics ; v. 18
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14.

図書

図書
L.C. Woods
出版情報: Oxford : Clarendon Press, 1987  xv, 521 p. ; 24 cm
シリーズ名: Oxford science publications
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目次情報: 続きを見る
Basic Concepts / 1:
Magnetohydrodynamics / 2:
Dynamics of Charged Particles / 3:
Transport in a Magnetoplasma / 4:
Magnetoplasmic Shockwaves / 5:
Transport in Tokamaks / 6:
Basic Concepts / 1:
Magnetohydrodynamics / 2:
Dynamics of Charged Particles / 3:
15.

図書

図書
R. von Mises, K.O. Friedrichs
出版情報: New York : Springer-Verlag, 1971  ix, 353 p. ; 26 cm
シリーズ名: Applied mathematical sciences ; v. 5
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16.

図書

図書
Hilary Ockendon, Alan B. Tayler
出版情報: New York : Springer-Verlag, c1983  viii, 146 p. ; 24 cm
シリーズ名: Applied mathematical sciences ; v. 43
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17.

図書

図書
Garrett Birkhoff
出版情報: Princeton, N.J. : Princeton University Press, 1960  xi, 184 p. ; 24 cm
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18.

図書

図書
Paul K. Chang
出版情報: Washington : Hemisphere Pub. Co., c1976  xvi, 523 p. ; 24 cm
シリーズ名: Series in thermal and fluids engineering
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19.

図書

図書
T.J. Chung
出版情報: New York : McGraw-Hill International Book Co., c1978  xiii, 378 p. ; 24 cm
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20.

図書

図書
J.J. Connor, C.A. Brebbia
出版情報: London ; Boston : Newnes-Butterworths, 1976  310 p. ; 23 cm
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21.

図書

図書
Shoei-Sheng Chen
出版情報: Washington : Hemisphere Pub. Corp. , Berlin ; New York : Distribution outside North America, Springer-Verlag, c1987  xxv, 464 p.
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22.

図書

図書
by V.N. Monakhov ; [translated from the Russian by H.H. McFaden ; translation edited by Lev J. Leifman]
出版情報: Providence, R.I. : American Mathematical Society, c1983  xiv, 522 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 57
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目次情報: 続きを見る
Boundary-value problems in the theory of analytic functions and their application to hydrodynamics: / Part I:
The boundary-value problems of Riemann and Hilbert / I:
Singular operators in spaces of summable functions. Application to boundary-value problems and to the study of boundary properties of analytic functions / II:
The mixed boundary-value problem with free boundary / III:
Flows of an incompressible fluid with free boundaries / IV:
Generalized solutions of quasilinear systems of equations in the mechanics of continuous media: / Part II:
Quasiconformal mappings and generalized solutions of elliptic systems of equations on the plane / V:
Boundary-value problems / VI:
Boundary-value problems in hydrodynamics and subsonic gas dynamics / VII:
Problems in filtration theory for a fluid with free boundaries / VIII:
Some planar problems with an unknown boundary in elasticity theory / IX:
Boundary-value problems in the theory of analytic functions and their application to hydrodynamics: / Part I:
The boundary-value problems of Riemann and Hilbert / I:
Singular operators in spaces of summable functions. Application to boundary-value problems and to the study of boundary properties of analytic functions / II:
23.

図書

図書
James Lighthill
出版情報: Cambridge [Eng.] ; New York : Cambridge University Press, 1978  xv, 504 p. ; 24 cm
シリーズ名: Cambridge monographs on mechanics and applied mathematics
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目次情報: 続きを見る
Preface
Prologue
Sound waves / Chapter 1.:
The wave equation / 1.1:
The speed of sound / 1.2:
Acoustic energy and intensity / 1.3:
The simple source / 1.4:
The acoustic dipole / 1.5:
Compact source regions in general / 1.6:
Compact source regions with dipole far fields / 1.7:
Ripple-tank simulations / 1.8:
Scattering by compact bodies / 1.9:
Quadrupole radiation / 1.10:
Radiation from spheres / 1.11:
Radiation from plane walls / 1.12:
Dissipation of acoustic energy / 1.13:
Exercises on chapter 1
One-dimensional waves in fluids / Chapter 2.:
Longitudinal waves in tubes and channels / 2.1:
Examples, including elastic tubes and open channels / 2.2:
Transmission of waves through junctions / 2.3:
Propagation through branching systems / 2.4:
Cavities, constrictions, resonators / 2.5:
Linear propagation with gradually varying composition and cross-section / 2.6:
Frictional attenuation / 2.7:
Nonlinear theory of plane waves / 2.8:
Simple waves / 2.9:
Shock waves / 2.10:
Theory of simple waves incorporating weak shock waves / 2.11:
Hydraulic jumps / 2.12:
Nonlinear propagation with gradually varying composition and cross-section / 2.13:
Nonlinear geometrical acoustics / 2.14:
Exercises on chapter 2
Water waves / Chapter 3.:
Surface gravity waves / 3.1:
Sinusoidal waves on deep water / 3.2:
Sinusoidal waves on water of arbitrary, but uniform, depth / 3.3:
Ripples / 3.4:
Attenuation / 3.5:
Introduction to group velocity / 3.6:
The Fourier analysis of dispersive systems / 3.7:
Energy propagation velocity / 3.8:
Wave patterns made by obstacles in a steady stream / 3.9:
Ship waves / 3.10:
Exercises on chapter 3
Internal waves / Chapter 4.:
Introduction to internal gravity waves / 4.1:
Combined theory of sound and internal waves / 4.2:
Internal waves in the ocean and in the atmosphere / 4.3:
Introduction to anisotropic dispersion / 4.4:
General theory of ray tracing / 4.5:
Ray tracing in a wind / 4.6:
Steady streaming generated by wave attenuation / 4.7:
Stationary phase in three dimensions / 4.8:
General theory of oscillating sources of waves / 4.9:
Internal waves generated by an oscillating source / 4.10:
Caustics / 4.11:
Wave generation by travelling forcing effects / 4.12:
Waveguides / 4.13:
Exercises on chapter 4
Epilogue
A variety of waves in fluids / Part 1:
Nonlinear effects on dispersive wave propagation / Part 2:
Bibliography (indexed as pages A to Q)
Some basic texts
Acoustic literature
Water-wave literature / Part 3:
Stratified-fluids literature / Part 4:
A bibliography for the epilogue / Part 5:
Notation list
Author index
Subject index
Preface
Prologue
Sound waves / Chapter 1.:
24.

図書

図書
Joseph Pedlosky
出版情報: New York ; Tokyo : Springer-Verlag, c1987  xiv, 710 p. ; 25 cm
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目次情報: 続きを見る
Preliminaries
Fundamentals
Inviscid Shallow-Water Theory
Friction and Viscous Flow
Homogeneous Models of the Wind-Driven Oceanic Circulation
Quasigeostrophic Motion of a Stratified Fluid on a Sphere
Instability Theory
Ageostrophic Motion
Preliminaries
Fundamentals
Inviscid Shallow-Water Theory
25.

図書

図書
Ronald L. Panton
出版情報: New York : Wiley, c1984  xv, 780 p. ; 25 cm
シリーズ名: A Wiley-Interscience publication
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目次情報: 続きを見る
Preface
Preface to the Second Edition
Preface to the First Edition
Continuum Mechanics / 1:
Continuum Assumption / 1.1:
Fundamental Concepts, Definitions, and Laws / 1.2:
Space and Time / 1.3:
Density, Velocity, and Internal Energy / 1.4:
Interface between Phases / 1.5:
Conclusions / 1.6:
Problems
Thermodynamics / 2:
Systems, Properties, and Processes / 2.1:
Independent Variables / 2.2:
Temperature and Entropy / 2.3:
Fundamental Equations of Thermodynamics / 2.4:
Euler's Equation for Homogeneous Functions / 2.5:
Gibbs-Duhem Equation / 2.6:
Intensive Forms of Basic Equations / 2.7:
Dimensions of Temperature and Entropy / 2.8:
Working Equations / 2.9:
Ideal Gas / 2.10:
Incompressible Substance / 2.11:
Vector Calculus and Index Notation / 2.12:
Index National Rules / 3.1:
Definition of Vectors and Tensors / 3.2:
Special Symbols and Isotropic Tensors / 3.3:
Direction Cosines and the Law of Cosines / 3.4:
Algebra with Vectors / 3.5:
Symmetric and Antisymmetric Tensors / 3.6:
Algebra with Tensors / 3.7:
Vector Cross-Product / 3.8:
Alternative Definitions of Vectors and Tensors / 3.9:
Principal Axes and Values / 3.10:
Derivative Operations on Vector Fields / 3.11:
Integral Formulas of Gauss and Stokes / 3.12:
Leibnitz's Theorem / 3.13:
Kinematics of Local Fluid Motion / 3.14:
Lagrangian Viewpoint / 4.1:
Eulerian Viewpoint / 4.2:
Substantial Derivative / 4.3:
Decomposition of Motion / 4.4:
Elementary Motions in a Linear Shear Flow / 4.5:
Proof of Vorticity Characteristics / 4.6:
Rate-of-Strain Characteristics / 4.7:
Rate of Expansion / 4.8:
Streamline Coordinates / 4.9:
Basic Laws / 4.10:
Continuity Equation / 5.1:
Momentum Equation / 5.2:
Surface Forces / 5.3:
Stress Tensor Derivation / 5.4:
Interpretation of the Stress Tensor Components / 5.5:
Pressure and Viscous Stress Tensor / 5.6:
Differential Momentum Equation / 5.7:
Moment of Momentum, Angular Momentum, and Symmetry of T[subscript ij] / 5.8:
Energy Equation / 5.9:
Mechanical and Thermal Energy Equations / 5.10:
Energy Equation with Temperature as the Dependent Variable / 5.11:
Second Law of Thermodynamics / 5.12:
Integral Form of the Continuity Equation / 5.13:
Integral Form of the Momentum Equation / 5.14:
Momentum Equation for a Deformable Particle of Variable Mass / 5.15:
Energy Equation in Integral Form / 5.16:
Jump Equations at Interfaces / 5.17:
Newtonian Fluids and the Navier-Stokes Equations / 5.18:
Newton's Viscosity Law / 6.1:
Molecular Model of Viscous Effects / 6.2:
Non-Newtonian Liquids / 6.3:
No-Slip Condition / 6.4:
Fourier's Heat Conduction Law / 6.5:
Navier-Stokes Equations / 6.6:
Some Incompressible Flow Patterns / 6.7:
Pressure-Driven Flow in a Slot / 7.1:
Mechanical Energy, Head Loss, and Bernoulli Equations / 7.2:
Plane Couette Flow / 7.3:
Pressure-Driven Flow in a Slot with a Moving Wall / 7.4:
Double Falling Film on a Wall / 7.5:
Outer Solution for Rotary Viscous Coupling / 7.6:
Rayleigh Problem / 7.7:
Dimensional Analysis / 7.8:
Measurement and Dimensions / 8.1:
Variables and Functions / 8.2:
Pi Theorem and Its Application / 8.3:
Pump or Blower Analysis: Use of Extra Assumptions / 8.4:
Number of Primary Dimensions / 8.5:
Proof of Bridgman's Equation / 8.6:
Proof of the Pi Theorem / 8.7:
Dynamic Similarity / 8.8:
Similarity with Geometric Distortion / 8.9:
Nondimensional Formulation of Physical Problems / 8.10:
Compressible Flow / 8.11:
Compressible Couette Flow: Adiabatic Wall / 9.1:
Flow with Power Law Transport Properties / 9.2:
Inviscid Compressible Waves: Speed of Sound / 9.3:
Incompressible Flow / 9.4:
Characterization / 10.1:
Incompressible Flow as Low-Mach-Number Flow with Adiabatic Walls / 10.2:
Nondimensional Problem Statement / 10.3:
Characteristics of Incompressible Flow / 10.4:
Splitting the Pressure into Kinetic and Hydrostatic Parts / 10.5:
Mathematical Aspects of the Limit Process M[superscript 2] to 0 / 10.6:
Invariance of Incompressible Flow Equations under Unsteady Motion / 10.7:
Low-Mach-Number Flows with Constant-Temperature Walls / 10.8:
Energy Equation Paradox / 10.9:
Some Solutions of the Navier-Stokes Equations / 10.10:
Pressure-Driven Flow in Tubes of Various Cross Sections: Elliptical Tube / 11.1:
Flow in a Rectangular Tube / 11.2:
Channel with Longitudinal Ribs / 11.3:
Stokes's Oscillating Plate / 11.4:
Wall under an Oscillating Free Stream / 11.5:
Transient for a Stokes Oscillating Plate / 11.6:
Flow in a Slot with a Steady and Oscillating Pressure Gradient / 11.7:
Decay of an Ideal Line Vortex (Oseen Vortex) / 11.8:
Plane Stagnation-Point Flow (Hiemenz Flow) / 11.9:
Burgers Vortex / 11.10:
Complete Solution for Rotary Coupling / 11.11:
Von Karman Viscous Pump / 11.12:
Streamfunctions and the Velocity Potential / 11.13:
Streamlines / 12.1:
Streamfunction for Plane Flows / 12.2:
Flow in a Slot with Porous Walls / 12.3:
Streamlines and Streamsurfaces for a Three-Dimensional Flow / 12.4:
Vector Potential and the E[superscript 2] Operator / 12.5:
Velocity Potential and the Unsteady Bernoulli Equation / 12.6:
Flow Caused by a Sphere with Variable Radius / 12.7:
Vorticity Dynamics / 12.8:
Vorticity / 13.1:
Kinematic Results Concerning Vorticity / 13.2:
Vorticity Equation / 13.3:
Vorticity Diffusion / 13.4:
Vorticity Intensification by Straining Vortex Lines / 13.5:
Hill's Spherical Vortex / 13.6:
Production of Vorticity at a Stationary Wall / 13.7:
Production of Vorticity at a Translating Wall / 13.8:
Helmholtz's Laws for Inviscid Flow / 13.9:
Kelvin's Theorem / 13.10:
Inviscid Motion of Point Vortices / 13.11:
Reconnection of Vortex Lines / 13.12:
Development of Typical Vorticity Distributions / 13.13:
Vortex Breakdown / 13.14:
Flows at Moderate Reynolds Numbers / 13.15:
Some Unusual Flow Patterns / 14.1:
Entrance Flows / 14.2:
Entrance Flow into a Cascade of Plates: Computer Solution by the Streamfunction-Vorticity Method / 14.3:
Entrance Flow into a Cascade of Plates: Pressure Solution / 14.4:
Entrance Flow into a Cascade of Plates: Results / 14.5:
Flow around a Circular Cylinder / 14.6:
Jeffrey-Hamel Flow in a Wedge / 14.7:
Limiting Cases for Re to 0 and Re to -[infinity] / 14.8:
Asymptotic Analysis Methods / 14.9:
Oscillation of a Gas Bubble in a Liquid / 15.1:
Order Symbols, Gauge Functions, and Asymptotic Expansions / 15.2:
Inviscid Flow over a Wavy Wall / 15.3:
Nonuniform Expansions: Friedrich's Problem / 15.4:
Matching Process: Van Dyke's Rule / 15.5:
Composite Expansions / 15.6:
Characteristics of Overlap Regions / 15.7:
Lagerstrom's Problems / 15.8:
Characteristics of High-Reynolds-Number Flows / 15.9:
Physical Motivation / 16.1:
Inviscid Main Flows: Euler Equations / 16.2:
Pressure Changes in Steady Flows: Bernoulli Equations / 16.3:
Boundary Layers / 16.4:
Kinematic Decomposition of Flow Fields / 16.5:
General Approach / 17.1:
Helmholtz's Decomposition / 17.2:
Line Vortex and Vortex Sheet / 17.3:
Complex Lamellar Decomposition / 17.4:
Ideal Flows in a Plane / 17.5:
Problem Formulation for Plane Ideal Flows / 18.1:
Simple Plane Flows / 18.2:
Line Source and Line Vortex / 18.3:
Flow over a Nose or a Cliff / 18.4:
Doublets / 18.5:
Cylinder in a Stream / 18.6:
Cylinder with Circulation in a Uniform Stream / 18.7:
Lift and Drag on Two-Dimensional Shapes / 18.8:
Magnus Effect / 18.9:
Conformal Transformations / 18.10:
Joukowski Transformation: Airfoil Geometry / 18.11:
Kutta Condition / 18.12:
Flow over a Joukowski Airfoil: Airfoil Lift / 18.13:
Numerical Method for Airfoils / 18.14:
Actual Airfoils / 18.15:
Schwarz-Christoffel Transformation / 18.16:
Diffuser or Contraction Flow / 18.17:
Gravity Waves in Liquids / 18.18:
Axisymmetric and Three-Dimensional Ideal Flows / 18.19:
General Equations and Characteristics of Three-Dimensional Ideal Flows / 19.1:
Swirling Flow Turned into an Annulus / 19.2:
Flow over a Weir / 19.3:
Point Source / 19.4:
Rankine Nose Shape / 19.5:
Experiments on the Nose Drag of Slender Shapes / 19.6:
Flow from a Doublet / 19.7:
Flow over a Sphere / 19.8:
Kinetic Energy / 19.9:
Wake Drag of Bodies / 19.10:
Induced Drag: Drag due to Lift / 19.11:
Lifting Line Theory / 19.12:
Added Mass of Accelerating Bodies / 19.13:
Blasius Flow over a Flat Plate / 19.14:
Displacement Thickness / 20.2:
Von Karman Momentum Integral / 20.3:
Von Karman-Pohlhausen Approximate Method / 20.4:
Falkner-Skan Similarity Solutions / 20.5:
Arbitrary Two-Dimensional Layers: Crank-Nicolson Difference Method / 20.6:
Vertical Velocity / 20.7:
Joukowski Airfoil Boundary Layer / 20.8:
Boundary Layer on a Bridge Piling / 20.9:
Boundary Layers Beginning at Infinity / 20.10:
Plane Boundary Layer Separation / 20.11:
Axisymmetric Boundary Layers / 20.12:
Jets / 20.13:
Far Wake of Nonlifting Bodies / 20.14:
Free Shear Layers / 20.15:
Unsteady and Erupting Boundary Layers / 20.16:
Entrance Flow into a Cascade / 20.17:
Three-Dimensional Boundary Layers / 20.18:
Boundary Layer with a Constant Transverse Pressure Gradient / 20.19:
Howarth's Stagnation Point / 20.20:
Three-Dimensional Separation / 20.21:
Flows at Low Reynolds Numbers / 20.22:
General Relations for Re to 0: Stokes's Equations / 21.1:
Global Equations for Stokes Flow / 21.2:
Streamfunction for Plane and Axisymmetric Flows / 21.3:
Internal Flows: Plane / 21.4:
Internal Flows: Three-Dimensional and Axisymmetric / 21.5:
Local Flows: Plane (Moffatt Vortices) / 21.6:
Local Flows: Axisymmetric / 21.7:
External Flow: Sphere in a Uniform Stream / 21.8:
Composite Expansion for Flow over a Sphere / 21.9:
Stokes Flow near a Circular Cylinder / 21.10:
Axisymmetric Particles / 21.11:
Oseen's Equations / 21.12:
Interference Effects / 21.13:
Lubrication Approximation / 21.14:
Basic Characteristics: Channel Flow / 22.1:
Flow in a Channel with a Porous Wall / 22.2:
Reynolds Equation for Bearing Theory / 22.3:
Slipper Pad Bearing / 22.4:
Squeeze-Film Lubrication: Viscous Adhesion / 22.5:
Journal Bearing / 22.6:
Surface Tension Effects / 22.7:
Interface Concepts and Laws / 23.1:
Statics: Plane Interfaces / 23.2:
Statics: Cylindrical Interfaces / 23.3:
Statics: Attached Bubbles and Drops / 23.4:
Constant-Tension Flows: Bubble in Infinite Stream / 23.5:
Constant-Tension Flows: Capillary Waves / 23.6:
Moving Contact Lines / 23.7:
Constant-Tension Flows: Coating Flows / 23.8:
Marangoni Flow / 23.9:
Introduction to Microflows / 23.10:
Molecules / 24.1:
Continuum Description / 24.2:
Compressible Flows in Long Channels / 24.3:
Simple Solutions with Slip / 24.4:
Gases / 24.5:
Couette Flow in Gases / 24.6:
Poiseuille Flow in Gases / 24.7:
Gas Flow over a Sphere / 24.8:
Liquid Flows in Tubes and Channels / 24.9:
Liquid Flows near Walls / 24.10:
Introduction to Stability and Transition / 24.11:
Linear Stability and Normal Modes as Perturbations / 25.1:
Kelvin-Helmholtz Inviscid Shear Layer Instability / 25.2:
Stability Problem for Nearly Parallel Viscous Flows / 25.3:
Orr-Sommerfeld Equation / 25.4:
Inviscid Stability of Nearly Parallel Flows / 25.5:
Viscous Stability of Nearly Parallel Flows / 25.6:
Experiments on Blasius Boundary Layers / 25.7:
Transition, Secondary Instability, and Bypass / 25.8:
Spatially Developing Open Flows / 25.9:
Transition in Free Shear Flows / 25.10:
Poiseuille and Plane Couette Flows / 25.11:
Inviscid Instability of Flows with Curved Streamlines / 25.12:
Taylor Instability of Couette Flow / 25.13:
Stability of Regions of Concentrated Vorticity / 25.14:
Other Instabilities: Taylor, Curved Pipe, Capillary Jets, and Gortler / 25.15:
Introduction to Turbulent Flows / 25.16:
Types of Turbulent Flows / 26.1:
Characteristics of Turbulent Flows / 26.2:
Reynolds Decomposition / 26.3:
Reynolds Stress / 26.4:
Free Turbulence: Plane Shear Layers / 26.5:
Free Turbulence: Turbulent Jet / 26.6:
Bifurcating and Blooming Jets / 26.7:
Correlations of Fluctuations / 26.8:
Mean and Turbulent Kinetic Energy / 26.9:
Energy Cascade: Kolmogorov Scales and Taylor Microscale / 26.10:
Wall Turbulence: Channel Flow Analysis / 26.11:
Wall Layers: Experiments and Empirical Correlation / 26.12:
Turbulent Structures / 26.13:
Properties of Fluids / 26.14:
Differential Operations in Cylindrical and Spherical Coordinates / B:
Basic Equations in Rectangular, Cylindrical, and Spherical Coordinates / C:
Streamfunction Relations in Rectangular, Cylindrical, and Spherical Coordinates / D:
Computer Code for Entrance Flow into a Cascade / E:
Computer Code for Boundary Layer Analysis / F:
Preface
Preface to the Second Edition
Preface to the First Edition
26.

図書

図書
Daniel D. Joseph
出版情報: Berlin ; New York : Springer-Verlag, 1976  2 v. ; 25 cm
シリーズ名: Springer tracts in natural philosophy ; v. 27,28
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27.

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図書
by G.K. Batchelor
出版情報: Cambridge ; New York : Cambridge University Press, 2000  xviii, 615 p., 24 p. of plates ; 23 cm
シリーズ名: Cambridge mathematical library
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目次情報: 続きを見る
Preface
Conventions and notation
The physical properties of fluids / 1:
Kinematics of the flow field / 2:
Equations governing the motion of a fluid / 3:
Flow of a uniform incompressible viscous fluid / 4:
Flow at large Reynolds number: effects of viscosity / 5:
Irrotational flow theory and its applications / 6:
Flow of effectively inviscid liquid with vorticity / 7:
Appendices
Preface
Conventions and notation
The physical properties of fluids / 1:
28.

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図書
Gordon E. Swaters
出版情報: Boca Raton, Fla. ; London : Chapman & Hall/CRC, c2000  274 p. ; 25 cm
シリーズ名: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 102
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29.

図書

図書
Lakshmi H. Kantha, Carol Anne Clayson
出版情報: San Diego, Calif. ; London : Academic Press, 2000  xxviii, 888 p. ; 24 cm
シリーズ名: International geophysics series : a series of monographs and textbooks / edited by Renata Dmowska and James R. Holton ; v. 67
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目次情報: 続きを見る
Foreword / Walter Munk
Preface
Prologue
Turbulence / 1:
Oceanic Mixed Layer / 2:
Atmospheric Boundary Layer / 3:
Surface Exchange Processes / 4:
Surface Waves / 5:
Internal Waves / 6:
Double-Diffusive Processes / 7:
Lakes and Reservoirs / 8:
Units / Appendix A:
Equations of State / Appendix B:
Important Scales and Nondimensional Quantities / Appendix C:
Wave Motions / Appendix D:
References
Biographies
Index
Foreword / Walter Munk
Preface
Prologue
30.

図書

図書
ed. by E.J. Plate ... [et al.]
出版情報: Dordrecht : Kluwer Academic Publishers, c1998  ix, 491 p. ; 25 cm
シリーズ名: NATO ASI series ; Series C . Mathematical and physical sciences ; no. 513
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31.

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図書
edited by Richard W. Johnson
出版情報: Heidelberg : Springer , Boca Raton, Fla. : CRC Press, c1998  1 v. (various pagings) ; 26 cm
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32.

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図書
Peter G. Baines
出版情報: Cambridge ; New York : Cambridge University Press, c1995  xvi, 482 p. ; 23 cm
シリーズ名: Cambridge monographs on mechanics and applied mathematics
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Background / 1:
The flow of a homogeneous layer with a free surface / 2:
Two-layer flows / 3:
Waves in stratified fluids / 4:
Stratified flow over two-dimensional obstacles / 5:
Stratified flow past three-dimensional topography / 6:
Applications to practical modelling of flow over complex terrain / 7:
Background / 1:
The flow of a homogeneous layer with a free surface / 2:
Two-layer flows / 3:
33.

図書

図書
Vinod Krishan
出版情報: Dordrecht : Kluwer Academic Publishers, c1999  xv, 358 p. ; 25 cm
シリーズ名: Astrophysics and space science library ; v. 235
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34.

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図書
mitherausgeber, C. Truesdell = co-edittor, C. Truesdell
出版情報: Berlin : Springer-Verlag, 1959-1963  3 v. ; 26 cm
シリーズ名: Handbuch der Physik / herausgegeben von S. Flügge = Encyclopedia of physics / editor in chief, S. Flügge ; Bd. 8, T. 1-2, Bd. 9
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1. Physikalische Grundlagen der Strömungeslehre / von K. Oswatitsch
Mathematical principles of classical fluid mechanics / by J. Serrin
Laminar boundary Layers / by L. Howarth
Entstehung der Turbulenz / von Hermann Schlichting
1. Physikalische Grundlagen der Strömungeslehre / von K. Oswatitsch
Mathematical principles of classical fluid mechanics / by J. Serrin
Laminar boundary Layers / by L. Howarth
35.

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図書
Clement Kleinstreuer
出版情報: New York : Cambridge University Press, 1997  xxi, 534 p. ; 27 cm
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36.

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図書
by Newman A. Hall
出版情報: New York : Prentice-Hall, 1951  x, 278 p. ; 22 cm
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37.

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図書
Ulrich Hornung, editor
出版情報: New York : Springer, c1997  xvi, 279 p. ; 24 cm
シリーズ名: Interdisciplinary applied mathematics ; v. 6
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38.

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図書
Roger Temam
出版情報: Philadelphia, Pa. : Society for Industrial and Applied Mathematics, 1995  xiv, 141 p. ; 25 cm
シリーズ名: CBMS-NSF regional conference series in applied mathematics ; 66
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39.

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図書
by B.M. Boubnov and G.S. Golitsyn
出版情報: Dordrecht ; Boston : Kluwer Academic, c1995  vii, 224 p. ; 25 cm
シリーズ名: Fluid mechanics and its applications ; v. 29
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40.

図書

図書
Ronald L. Panton
出版情報: New York : Wiley, c1996  xvii, 837 p. ; 25 cm
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目次情報: 続きを見る
Preface
Preface to the Second Edition
Preface to the First Edition
Continuum Mechanics / 1:
Continuum Assumption / 1.1:
Fundamental Concepts, Definitions, and Laws / 1.2:
Space and Time / 1.3:
Density, Velocity, and Internal Energy / 1.4:
Interface between Phases / 1.5:
Conclusions / 1.6:
Problems
Thermodynamics / 2:
Systems, Properties, and Processes / 2.1:
Independent Variables / 2.2:
Temperature and Entropy / 2.3:
Fundamental Equations of Thermodynamics / 2.4:
Euler's Equation for Homogeneous Functions / 2.5:
Gibbs-Duhem Equation / 2.6:
Intensive Forms of Basic Equations / 2.7:
Dimensions of Temperature and Entropy / 2.8:
Working Equations / 2.9:
Ideal Gas / 2.10:
Incompressible Substance / 2.11:
Vector Calculus and Index Notation / 2.12:
Index National Rules / 3.1:
Definition of Vectors and Tensors / 3.2:
Special Symbols and Isotropic Tensors / 3.3:
Direction Cosines and the Law of Cosines / 3.4:
Algebra with Vectors / 3.5:
Symmetric and Antisymmetric Tensors / 3.6:
Algebra with Tensors / 3.7:
Vector Cross-Product / 3.8:
Alternative Definitions of Vectors and Tensors / 3.9:
Principal Axes and Values / 3.10:
Derivative Operations on Vector Fields / 3.11:
Integral Formulas of Gauss and Stokes / 3.12:
Leibnitz's Theorem / 3.13:
Kinematics of Local Fluid Motion / 3.14:
Lagrangian Viewpoint / 4.1:
Eulerian Viewpoint / 4.2:
Substantial Derivative / 4.3:
Decomposition of Motion / 4.4:
Elementary Motions in a Linear Shear Flow / 4.5:
Proof of Vorticity Characteristics / 4.6:
Rate-of-Strain Characteristics / 4.7:
Rate of Expansion / 4.8:
Streamline Coordinates / 4.9:
Basic Laws / 4.10:
Continuity Equation / 5.1:
Momentum Equation / 5.2:
Surface Forces / 5.3:
Stress Tensor Derivation / 5.4:
Interpretation of the Stress Tensor Components / 5.5:
Pressure and Viscous Stress Tensor / 5.6:
Differential Momentum Equation / 5.7:
Moment of Momentum, Angular Momentum, and Symmetry of T[subscript ij] / 5.8:
Energy Equation / 5.9:
Mechanical and Thermal Energy Equations / 5.10:
Energy Equation with Temperature as the Dependent Variable / 5.11:
Second Law of Thermodynamics / 5.12:
Integral Form of the Continuity Equation / 5.13:
Integral Form of the Momentum Equation / 5.14:
Momentum Equation for a Deformable Particle of Variable Mass / 5.15:
Energy Equation in Integral Form / 5.16:
Jump Equations at Interfaces / 5.17:
Newtonian Fluids and the Navier-Stokes Equations / 5.18:
Newton's Viscosity Law / 6.1:
Molecular Model of Viscous Effects / 6.2:
Non-Newtonian Liquids / 6.3:
No-Slip Condition / 6.4:
Fourier's Heat Conduction Law / 6.5:
Navier-Stokes Equations / 6.6:
Some Incompressible Flow Patterns / 6.7:
Pressure-Driven Flow in a Slot / 7.1:
Mechanical Energy, Head Loss, and Bernoulli Equations / 7.2:
Plane Couette Flow / 7.3:
Pressure-Driven Flow in a Slot with a Moving Wall / 7.4:
Double Falling Film on a Wall / 7.5:
Outer Solution for Rotary Viscous Coupling / 7.6:
Rayleigh Problem / 7.7:
Dimensional Analysis / 7.8:
Measurement and Dimensions / 8.1:
Variables and Functions / 8.2:
Pi Theorem and Its Application / 8.3:
Pump or Blower Analysis: Use of Extra Assumptions / 8.4:
Number of Primary Dimensions / 8.5:
Proof of Bridgman's Equation / 8.6:
Proof of the Pi Theorem / 8.7:
Dynamic Similarity / 8.8:
Similarity with Geometric Distortion / 8.9:
Nondimensional Formulation of Physical Problems / 8.10:
Compressible Flow / 8.11:
Compressible Couette Flow: Adiabatic Wall / 9.1:
Flow with Power Law Transport Properties / 9.2:
Inviscid Compressible Waves: Speed of Sound / 9.3:
Incompressible Flow / 9.4:
Characterization / 10.1:
Incompressible Flow as Low-Mach-Number Flow with Adiabatic Walls / 10.2:
Nondimensional Problem Statement / 10.3:
Characteristics of Incompressible Flow / 10.4:
Splitting the Pressure into Kinetic and Hydrostatic Parts / 10.5:
Mathematical Aspects of the Limit Process M[superscript 2] to 0 / 10.6:
Invariance of Incompressible Flow Equations under Unsteady Motion / 10.7:
Low-Mach-Number Flows with Constant-Temperature Walls / 10.8:
Energy Equation Paradox / 10.9:
Some Solutions of the Navier-Stokes Equations / 10.10:
Pressure-Driven Flow in Tubes of Various Cross Sections: Elliptical Tube / 11.1:
Flow in a Rectangular Tube / 11.2:
Channel with Longitudinal Ribs / 11.3:
Stokes's Oscillating Plate / 11.4:
Wall under an Oscillating Free Stream / 11.5:
Transient for a Stokes Oscillating Plate / 11.6:
Flow in a Slot with a Steady and Oscillating Pressure Gradient / 11.7:
Decay of an Ideal Line Vortex (Oseen Vortex) / 11.8:
Plane Stagnation-Point Flow (Hiemenz Flow) / 11.9:
Burgers Vortex / 11.10:
Complete Solution for Rotary Coupling / 11.11:
Von Karman Viscous Pump / 11.12:
Streamfunctions and the Velocity Potential / 11.13:
Streamlines / 12.1:
Streamfunction for Plane Flows / 12.2:
Flow in a Slot with Porous Walls / 12.3:
Streamlines and Streamsurfaces for a Three-Dimensional Flow / 12.4:
Vector Potential and the E[superscript 2] Operator / 12.5:
Velocity Potential and the Unsteady Bernoulli Equation / 12.6:
Flow Caused by a Sphere with Variable Radius / 12.7:
Vorticity Dynamics / 12.8:
Vorticity / 13.1:
Kinematic Results Concerning Vorticity / 13.2:
Vorticity Equation / 13.3:
Vorticity Diffusion / 13.4:
Vorticity Intensification by Straining Vortex Lines / 13.5:
Hill's Spherical Vortex / 13.6:
Production of Vorticity at a Stationary Wall / 13.7:
Production of Vorticity at a Translating Wall / 13.8:
Helmholtz's Laws for Inviscid Flow / 13.9:
Kelvin's Theorem / 13.10:
Inviscid Motion of Point Vortices / 13.11:
Reconnection of Vortex Lines / 13.12:
Development of Typical Vorticity Distributions / 13.13:
Vortex Breakdown / 13.14:
Flows at Moderate Reynolds Numbers / 13.15:
Some Unusual Flow Patterns / 14.1:
Entrance Flows / 14.2:
Entrance Flow into a Cascade of Plates: Computer Solution by the Streamfunction-Vorticity Method / 14.3:
Entrance Flow into a Cascade of Plates: Pressure Solution / 14.4:
Entrance Flow into a Cascade of Plates: Results / 14.5:
Flow around a Circular Cylinder / 14.6:
Jeffrey-Hamel Flow in a Wedge / 14.7:
Limiting Cases for Re to 0 and Re to -[infinity] / 14.8:
Asymptotic Analysis Methods / 14.9:
Oscillation of a Gas Bubble in a Liquid / 15.1:
Order Symbols, Gauge Functions, and Asymptotic Expansions / 15.2:
Inviscid Flow over a Wavy Wall / 15.3:
Nonuniform Expansions: Friedrich's Problem / 15.4:
Matching Process: Van Dyke's Rule / 15.5:
Composite Expansions / 15.6:
Characteristics of Overlap Regions / 15.7:
Lagerstrom's Problems / 15.8:
Characteristics of High-Reynolds-Number Flows / 15.9:
Physical Motivation / 16.1:
Inviscid Main Flows: Euler Equations / 16.2:
Pressure Changes in Steady Flows: Bernoulli Equations / 16.3:
Boundary Layers / 16.4:
Kinematic Decomposition of Flow Fields / 16.5:
General Approach / 17.1:
Helmholtz's Decomposition / 17.2:
Line Vortex and Vortex Sheet / 17.3:
Complex Lamellar Decomposition / 17.4:
Ideal Flows in a Plane / 17.5:
Problem Formulation for Plane Ideal Flows / 18.1:
Simple Plane Flows / 18.2:
Line Source and Line Vortex / 18.3:
Flow over a Nose or a Cliff / 18.4:
Doublets / 18.5:
Cylinder in a Stream / 18.6:
Cylinder with Circulation in a Uniform Stream / 18.7:
Lift and Drag on Two-Dimensional Shapes / 18.8:
Magnus Effect / 18.9:
Conformal Transformations / 18.10:
Joukowski Transformation: Airfoil Geometry / 18.11:
Kutta Condition / 18.12:
Flow over a Joukowski Airfoil: Airfoil Lift / 18.13:
Numerical Method for Airfoils / 18.14:
Actual Airfoils / 18.15:
Schwarz-Christoffel Transformation / 18.16:
Diffuser or Contraction Flow / 18.17:
Gravity Waves in Liquids / 18.18:
Axisymmetric and Three-Dimensional Ideal Flows / 18.19:
General Equations and Characteristics of Three-Dimensional Ideal Flows / 19.1:
Swirling Flow Turned into an Annulus / 19.2:
Flow over a Weir / 19.3:
Point Source / 19.4:
Rankine Nose Shape / 19.5:
Experiments on the Nose Drag of Slender Shapes / 19.6:
Flow from a Doublet / 19.7:
Flow over a Sphere / 19.8:
Kinetic Energy / 19.9:
Wake Drag of Bodies / 19.10:
Induced Drag: Drag due to Lift / 19.11:
Lifting Line Theory / 19.12:
Added Mass of Accelerating Bodies / 19.13:
Blasius Flow over a Flat Plate / 19.14:
Displacement Thickness / 20.2:
Von Karman Momentum Integral / 20.3:
Von Karman-Pohlhausen Approximate Method / 20.4:
Falkner-Skan Similarity Solutions / 20.5:
Arbitrary Two-Dimensional Layers: Crank-Nicolson Difference Method / 20.6:
Vertical Velocity / 20.7:
Joukowski Airfoil Boundary Layer / 20.8:
Boundary Layer on a Bridge Piling / 20.9:
Boundary Layers Beginning at Infinity / 20.10:
Plane Boundary Layer Separation / 20.11:
Axisymmetric Boundary Layers / 20.12:
Jets / 20.13:
Far Wake of Nonlifting Bodies / 20.14:
Free Shear Layers / 20.15:
Unsteady and Erupting Boundary Layers / 20.16:
Entrance Flow into a Cascade / 20.17:
Three-Dimensional Boundary Layers / 20.18:
Boundary Layer with a Constant Transverse Pressure Gradient / 20.19:
Howarth's Stagnation Point / 20.20:
Three-Dimensional Separation / 20.21:
Flows at Low Reynolds Numbers / 20.22:
General Relations for Re to 0: Stokes's Equations / 21.1:
Global Equations for Stokes Flow / 21.2:
Streamfunction for Plane and Axisymmetric Flows / 21.3:
Internal Flows: Plane / 21.4:
Internal Flows: Three-Dimensional and Axisymmetric / 21.5:
Local Flows: Plane (Moffatt Vortices) / 21.6:
Local Flows: Axisymmetric / 21.7:
External Flow: Sphere in a Uniform Stream / 21.8:
Composite Expansion for Flow over a Sphere / 21.9:
Stokes Flow near a Circular Cylinder / 21.10:
Axisymmetric Particles / 21.11:
Oseen's Equations / 21.12:
Interference Effects / 21.13:
Lubrication Approximation / 21.14:
Basic Characteristics: Channel Flow / 22.1:
Flow in a Channel with a Porous Wall / 22.2:
Reynolds Equation for Bearing Theory / 22.3:
Slipper Pad Bearing / 22.4:
Squeeze-Film Lubrication: Viscous Adhesion / 22.5:
Journal Bearing / 22.6:
Surface Tension Effects / 22.7:
Interface Concepts and Laws / 23.1:
Statics: Plane Interfaces / 23.2:
Statics: Cylindrical Interfaces / 23.3:
Statics: Attached Bubbles and Drops / 23.4:
Constant-Tension Flows: Bubble in Infinite Stream / 23.5:
Constant-Tension Flows: Capillary Waves / 23.6:
Moving Contact Lines / 23.7:
Constant-Tension Flows: Coating Flows / 23.8:
Marangoni Flow / 23.9:
Introduction to Microflows / 23.10:
Molecules / 24.1:
Continuum Description / 24.2:
Compressible Flows in Long Channels / 24.3:
Simple Solutions with Slip / 24.4:
Gases / 24.5:
Couette Flow in Gases / 24.6:
Poiseuille Flow in Gases / 24.7:
Gas Flow over a Sphere / 24.8:
Liquid Flows in Tubes and Channels / 24.9:
Liquid Flows near Walls / 24.10:
Introduction to Stability and Transition / 24.11:
Linear Stability and Normal Modes as Perturbations / 25.1:
Kelvin-Helmholtz Inviscid Shear Layer Instability / 25.2:
Stability Problem for Nearly Parallel Viscous Flows / 25.3:
Orr-Sommerfeld Equation / 25.4:
Inviscid Stability of Nearly Parallel Flows / 25.5:
Viscous Stability of Nearly Parallel Flows / 25.6:
Experiments on Blasius Boundary Layers / 25.7:
Transition, Secondary Instability, and Bypass / 25.8:
Spatially Developing Open Flows / 25.9:
Transition in Free Shear Flows / 25.10:
Poiseuille and Plane Couette Flows / 25.11:
Inviscid Instability of Flows with Curved Streamlines / 25.12:
Taylor Instability of Couette Flow / 25.13:
Stability of Regions of Concentrated Vorticity / 25.14:
Other Instabilities: Taylor, Curved Pipe, Capillary Jets, and Gortler / 25.15:
Introduction to Turbulent Flows / 25.16:
Types of Turbulent Flows / 26.1:
Characteristics of Turbulent Flows / 26.2:
Reynolds Decomposition / 26.3:
Reynolds Stress / 26.4:
Free Turbulence: Plane Shear Layers / 26.5:
Free Turbulence: Turbulent Jet / 26.6:
Bifurcating and Blooming Jets / 26.7:
Correlations of Fluctuations / 26.8:
Mean and Turbulent Kinetic Energy / 26.9:
Energy Cascade: Kolmogorov Scales and Taylor Microscale / 26.10:
Wall Turbulence: Channel Flow Analysis / 26.11:
Wall Layers: Experiments and Empirical Correlation / 26.12:
Turbulent Structures / 26.13:
Properties of Fluids / 26.14:
Differential Operations in Cylindrical and Spherical Coordinates / B:
Basic Equations in Rectangular, Cylindrical, and Spherical Coordinates / C:
Streamfunction Relations in Rectangular, Cylindrical, and Spherical Coordinates / D:
Computer Code for Entrance Flow into a Cascade / E:
Computer Code for Boundary Layer Analysis / F:
Preface
Preface to the Second Edition
Preface to the First Edition
41.

図書

図書
Roger Peyret
出版情報: London : Academic Press, c1996  x, 467 p. ; 24 cm
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42.

図書

図書
G.S. Roslyakov and L.A. Chudov, editors. Translated from Russian [by Z. Lerman]
出版情報: Jerusalem : Israel Program for Scientific Translations; [available from U.S. Dept. of Commerce, Clearinghouse for Federal Scientific and Technical Information, Springfield, Va.], 1966  iv, 166 p ; 25 cm
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43.

図書

図書
C. Pozrikidis
出版情報: New York : Oxford University Press, 1997  x, 675 p. ; 25 cm
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目次情報: 続きを見る
Kinematics of a Flow / Chapter 1:
Fluid velocity and motion of fluid parcels / 1.1:
Lagrangian labels / 1.2:
Properties of parcels, conservation of mass, and the continuity equation / 1.3:
Material lines, material vectors, and material surfaces / 1.4:
Differential geometry of surfaces / 1.5:
Description of a material surface in Eulerian form / 1.6:
Streamlines, stream tubes, path lines, and streak lines / 1.7:
Vorticity, vortex lines, vortex tubes, and circulation around loops / 1.8:
Line vortices and vortex sheets / 1.9:
Analysis of Kinematics / Chapter 2:
Irrotational flows and the velocity potential / 2.1:
The reciprocal relation for harmonic functions, and Green's functions of Laplace's equation / 2.2:
Integral representation and further properties of potential flow / 2.3:
The vector potential for incompressible flow / 2.4:
Representation of an incompressible flow in terms in the vorticity / 2.5:
Representation of a flow in terms of the rate of expansion and vorticity / 2.6:
Stream functions for incompressible flow / 2.7:
Flow induced by vorticity / 2.8:
Axisymmetric flow induced by vorticity / 2.9:
Two-dimensional flow induced by vorticity / 2.10:
Stresses, the Equation of Motion, and the Vorticity Transport Equation / Chapter 3:
Forces acting in a fluid, traction, the stress tensor, and the equation of motion / 3.1:
Constitutive relations for the stress tensor / 3.2:
Traction, force, torque, energy dissipation, and the reciprocal theorem for incompressible Newtonian fluids / 3.3:
Navier-Stokes', Euler's and Bernoulli's equation / 3.4:
Equations and boundary conditions governing the motion of an incompressible Newtonian fluid / 3.5:
Traction, vorticity, and flow kinematics on rigid boundaries, free surfaces, and fluid interfaces / 3.6:
Scaling of the Navier-Stokes equation and dynamic similtude / 3.7:
Evolution of circulation around material loops and dynamics of the vorticity field / 3.8:
Computation of exact solutions to the equation of motion in two dimensions based in the vorticity transport equation / 3.9:
Hydrostatics / Chapter 4:
Pressure distribution within a fluid in rigid body motion / 4.1:
The Laplace-Young equation / 4.2:
Two-dimensional interfaces / 4.3:
Axisymmetric interfaces / 4.4:
Three-dimensional interfaces / 4.5:
Computing Incompressible Flows / Chapter 5:
Steady unidirectional flows / 5.1:
Unsteady unidirectional flows / 5.2:
Stagnation-point flows / 5.3:
Flow due to a rotating disk / 5.4:
Flow in a corner due to a point source / 5.5:
Flow due to a point force / 5.6:
Flow at Low Reynolds Numbers / Chapter 6:
Equations and fundamental properties of Stokes flow / 6.1:
Local solutions in corners / 6.2:
Nearly-unidirectional flows / 6.3:
Fundamental solutions of Stokes flow / 6.4:
Stokes flow past or due to the motion of rigid bodies and liquid drops / 6.6:
Computation of singularity representations / 6.7:
The Lorentz reciprocal theorem and its applications / 6.8:
Boundary integral representation of Stokes flows / 6.9:
Boundary-integral-equation methods / 6.10:
Generalized Faxen's relations / 6.11:
Formulation of two-dimensional Stokes flow in complex variables / 6.12:
Effects of inertia and Oseen flow / 6.13:
Unsteady Stokes flow / 6.14:
Computation of unsteady Stokes flow past or due to the motion of particles / 6.15:
Irrotational Flow / Chapter 7:
Equations and c / 7.1:
Kinematics of a Flow / Chapter 1:
Fluid velocity and motion of fluid parcels / 1.1:
Lagrangian labels / 1.2:
44.

図書

図書
Liudmila Pozhar
出版情報: Singapore ; New Jersy : World Scientific, c1994  xi, 170 p. ; 23 cm
シリーズ名: World Scientific series in contemporary chemical physics ; vol. 6
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45.

図書

図書
Daniel E. Rosner
出版情報: Boston : Butterworths, c1986  xxvii, 540 p. ; 25 cm
シリーズ名: Butterworths series in chemical engineering
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46.

図書

図書
M. Ghil, S. Childress
出版情報: New York ; Tokyo : Springer-Verlag, c1987  xv, 485 p. ; 24 cm
シリーズ名: Applied mathematical sciences ; v. 60
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47.

図書

図書
edited by W.G. Habashi
出版情報: Swansea : Pineridge press, 1984  xv, 660 p. ; 24 cm
シリーズ名: Recent advances in numerical methods in fluids / edited by C. Taylor and K. Morgan ; v. 3
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48.

図書

図書
Alex D.D. Craik
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985  xii, 322 p. ; 24 cm
シリーズ名: Cambridge monographs on mechanics and applied mathematics
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目次情報: 続きを見る
Preface
Introduction / 1:
Linear wave interactions / 2:
Flows with piecewise-constant density and velocity
Stability of an interface / 2.1:
A three-layer model / 2.2:
An energy criterion / 2.3:
Viscous dissipation / 2.4:
Flows with constant density and continuous velocity profile / 3:
Stability of constant-density flows / 3.1:
Critical layers and wall layers / 3.2:
Flows with density stratification and piecewise-constant velocity / 4:
Continuously-stratified flows / 4.1:
Vortex sheet with stratification / 4.2:
Over-reflection and energy flux / 4.3:
The influence of boundaries / 4.4:
Flows with continuous profiles of density and velocity / 5:
Unbounded shear layers / 5.1:
Bounded shear layers / 5.2:
The critical layer in inviscid stratified flow / 5.3:
Diffusive effects / 5.4:
Models of mode coupling / 6:
Model dispersion relations / 6.1:
Mode conversion in inhomogeneous media / 6.2:
Eigenvalue spectra and localized disturbances / 7:
The temporal eigenvalue spectrum / 7.1:
The spatial eigenvalue spectrum / 7.2:
Evolution of localized disturbances / 7.3:
Introduction to nonlinear theory
Introductory remarks / 8:
Description of a general disturbance / 8.2:
Review of special cases / 8.3:
Waves and mean flows
Spatially-periodic waves in channel flows / 9:
The mean-flow equations / 9.1:
Particular solutions / 9.2:
The viscous wall layer / 9.3:
Spatially-periodic waves on deformable boundaries / 10:
The Eulerian drift velocity of water waves / 10.1:
'Swimming' of a wavy sheet / 10.2:
Modulated wave-packets / 11:
Waves in viscous channel flows / 11.1:
Waves on a free surface / 11.2:
Wave propagation in inhomogeneous media / 11.3:
Wave action and energy / 11.4:
Waves in inviscid stratified flow / 11.5:
Mean flow oscillations due to dissipation / 11.6:
Generalized Lagrangian mean (GLM) formulation / 12:
The GLM equations / 12.1:
Pseudomomentum and pseudoenergy / 12.2:
Surface gravity waves / 12.3:
Inviscid shear-flow instability / 12.4:
Spatially-periodic mean flows / 13:
Forced motions / 13.1:
Wave-driven longitudinal-vortex instability / 13.2:
Three-wave resonance
Conservative wave interactions / 14:
Conditions for resonance / 14.1:
Resonance of capillary-gravity waves / 14.2:
Some properties of the interaction equations / 14.3:
Wave-interaction experiments / 14.4:
Solutions of the conservative interaction equations / 15:
The one-dimensional solutions / 15.1:
Inverse-scattering solution in two dimensions / 15.2:
Solutions in three and four dimensions / 15.3:
Long wave--short wave interactions / 15.4:
Linearly damped waves / 16:
One wave heavily damped / 16.1:
Waves dependent on t only / 16.2:
Higher-order effects / 16.3:
Non-conservative wave interactions / 17:
Resonant triads in shear flows / 17.1:
The interaction equations / 17.2:
Some particular solutions / 17.3:
Evolution of a nonlinear wave-train
Heuristic derivation of the evolution equations / 18:
Weakly nonlinear waves in inviscid fluids / 19:
Surface and interfacial waves / 19.1:
Internal waves / 19.2:
Baroclinic waves / 19.3:
Weakly nonlinear waves in shear flows / 20:
Waves in inviscid shear flows / 20.1:
Near-critical plane Poiseuille flow / 20.2:
Non-critical (nearly) parallel flows / 20.3:
Properties of the evolution equations / 21:
Nonlinear Schrodinger equation with real coefficients / 21.1:
Davey--Stewartson equations with real coefficients / 21.2:
Nonlinear Schrodinger equation with complex coefficients / 21.3:
Korteweg--de Vries equation and its relatives / 21.4:
Waves of larger amplitude / 22:
Large-amplitude surface waves / 22.1:
Higher-order instability of wave-trains / 22.2:
Numerical work on shear-flow instability / 22.3:
The nonlinear critical layer / 22.4:
Taylor--Couette flow and Rayleigh-Benard convection / 22.5:
Cubic three- and four-wave interactions
Conservative four-wave interactions / 23:
The resonance condition / 23.1:
The temporal evolution equations / 23.2:
Zakharov's equation for gravity waves / 23.3:
Properties of Zakharov's equation / 23.5:
Mode interactions in Taylor--Couette flow / 24:
Axisymmetric flow / 24.1:
Periodic wavy vortices / 24.2:
Effects of finite length / 24.3:
Doubly-periodic and 'chaotic' flow / 24.4:
Rayleigh--Benard convection / 25:
Instabilities of rolls / 25.1:
Rolls in finite containers / 25.3:
Three-roll interactions / 25.4:
Wave interactions in planar shear flows / 26:
Three dominant waves / 26.1:
Analysis of four-wave interactions / 26.2:
Direct computational approach / 26.3:
Strong interactions, local instabilities and turbulence: a postscript
Short waves and long waves / 27:
Local transition in shear flows / 27.2:
Some thoughts on transition and turbulence / 27.3:
References
Index
Preface
Introduction / 1:
Linear wave interactions / 2:
49.

図書

図書
edited by C. Taylor ... [et al.]
出版情報: Swansea : Pineridge, 1985  2 v. ; 24 cm
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50.

図書

図書
Donald J. Brasch, Derek Derek Whyman
出版情報: London : Edward Arnold, c1986  x, 278 p. ; 23 cm
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