دانلود کتاب Turbulent Fluid Motion

فهرست مطالب :

Cover......Page 1
Half Title......Page 2
Title Page......Page 4
Copyright Page......Page 5
Table of Contents......Page 6
Preface......Page 10
1 The Phenomenon of Fluid Turbulence......Page 14
1-1 What is Turbulence?......Page 16
1-2 Ubiquity of Turbulence......Page 17
1-3 Why Does Turbulence Occur?......Page 19
1-4 Closing Remarks......Page 21
References......Page 30
2-2 Rotation of Coordinate Systems......Page 32
2-3 Vectors (First-Order Tensors)......Page 34
2-4-1 Definition and Simple Examples......Page 35
2-4-2 Stress and the Quotient Law......Page 36
2-4-3 Kronecker Delta, a Tensor......Page 37
2-5-1 Vorticity and the Alternating Tensor......Page 38
2-5-2 A More General Quotient Law......Page 39
2-6 Zero-Order Tensors and Contraction......Page 40
2-8 Subscripted Quantities That Are Not Tensors......Page 41
References......Page 42
3-1 Justification of the Use of a Continuum Approach for Turbulence......Page 44
3-2 Equation of Continuity (Conservation of Mass)......Page 45
3-3-1 Stress Tensor......Page 47
3-3-2 Equations of Motion......Page 51
3-3-3 Dimensionless Form of Constant-Property Auid-Flow Equations and Dimensionless Correlation of Friction-Factor Data......Page 54
3-4 Heat Transfer or Energy Equation (Conservation of Energy)......Page 55
3-4-1 Dimensionless Form of Constant-Property Energy Equation and Dimensionless Correlation of Heat-Transfer Data......Page 57
3-5 Rule for Obtaining Additional Dimensionless Parameters as a System Becomes More Complex......Page 58
3-6 Closing Remarks......Page 60
References......Page 61
4-1 Average Values and Their Properties......Page 62
4-1-3 Properties of Averaged Values......Page 64
4-2 Equations in Terms of Mean and Auctuating Components......Page 65
4-3-1 Equations for Mean Flow and Mean Temperature......Page 68
4-3-2 Simple Closures of the Equations for Mean Flow and Temperature......Page 70
4-3-3 One-Point Correlation Equations......Page 104
4-3-4 Two-Point Correlation Equations......Page 111
4-4 Closing Remarks......Page 117
References......Page 119
5 Fourier Analysis, Spectral Form of the Continuum Equations, and Homogeneous Turbulence......Page 122
5-1-1 Analysis of Two-Point Averaged Quantities......Page 123
5-1-2 Analysis of the Two-Point Correlation Equations......Page 125
5-2-1 Analysis of Instantaneous Quantities......Page 129
5-2-2 Analysis of Instantaneous Continuum Equations......Page 131
5-3-1 Basic Equations......Page 135
5-3-2 Illustrative Solutions of the Basic Equations......Page 144
5-4-1 Basic Equations......Page 233
5-4-2 Cases for Which Mean Gradients Are Large or the Turbulence Is Weak......Page 235
5-4-3 Uniformly and Steadily Sheared Homogeneous Turbulence If Triple Correlations May Be Important......Page 368
References......Page 378
6 Turbulence, Nonlinear Dynamics, and Deterministic Chaos......Page 386
6-1 Low-Order Nonlinear System......Page 387
6-2 Basic Equations and a Long-Term Turbulent Solution with Steady Forcing......Page 389
6-3 Some Computer Animations of a Turbulent Flow......Page 395
6-4 Some Turbulent and Nonturbulent Navier-Stokes Flows......Page 396
6-4-1 Time Series......Page 398
6-4-2 Phase Portraits......Page 399
6-4-3 Poincaré Sections......Page 405
6-4-4 Liapunov Exponent......Page 407
6-4-5 Ergodic Theory Interpretations......Page 411
6-4-6 Power Spectra......Page 412
6-4-7 Dimensions of the Attractors......Page 413
6-5 Closing Remarks......Page 415
References......Page 416
Afterword......Page 418
Index......Page 420