Analysis of Turbulent Flows with Computer Programs
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Table of contents
- Contentsix
- Chapter 1. Introduction1
- 1.1 Introductory Remarks1
- 1.2 Turbulence–Miscellaneous Remarks3
- 1.3 The Ubiquity of Turbulence7
- 1.4 The Continuum Hypothesis9
- 1.5 Measures of Turbulence–Intensity10
- 1.6 Measures of Turbulence–Scale14
- 1.7 Measures of Turbulence–The Energy Spectrum18
- 1.8 Measures of Turbulence–Intermittency20
- 1.9 The Diffusive Nature of Turbulence21
- 1.10 Turbulence Simulation24
- References27
- Problems29
- Chapter 2. Conservation Equations for Compressible Turbulent Flows31
- 2.1 Introduction31
- 2.2 The Navier–Stokes Equations31
- 2.3 Conventional Time-Averaging and Mass-Weighted-Averaging Procedures33
- 2.4 Relation Between Conventional Time-Averaged Quantities and Mass-Weighted-Averaged Quantities36
- 2.5 Continuity and Momentum Equations38
- 2.6 Energy Equations38
- 2.7 Mean-Kinetic-Energy Equation39
- 2.8 Reynolds-Stress Transport Equations40
- 2.9 Reduced Forms of the Navier–Stokes Equations44
- References47
- Problems47
- Chapter 3. Boundary-Layer Equations49
- 3.1 Introduction49
- 3.2 Boundary-Layer Approximations for Compressible Flows49
- 3.3 Continuity, Momentum, and Energy Equations59
- 3.4 Mean-Kinetic-Energy Flows67
- 3.5 Reynolds-Stress Transport Equations68
- 3.6 Integral Equations of the Boundary Layer72
- References77
- Problems77
- Chapter 4. General Behavior of Turbulent Boundary Layers81
- 4.1 Introduction81
- 4.2 Composite Nature of a Turbulent Boundary Layer81
- 4.3 Eddy-Viscosity, Mixing-Length, Eddy-Conductivity and Turbulent Prandtl Number Concepts89
- 4.4 Mean-Velocity and Temperature Distributions in Incompressible Flows on Smooth Surfaces95
- 4.5 Mean-Velocity Distributions in Incompressible Turbulent Flows on Rough Surfaces with Zero Pressu112
- 4.6 Mean-Velocity Distributions on Smooth Porous Surfaces with Zero Pressure Gradient118
- 4.7 The Crocco Integral for Turbulent Boundary Layers120
- 4.8 Mean-Velocity and Temperature Distributions in Compressible Flows with Zero Pressure Gradient123
- 4.9 Effect of Pressure Gradient on Mean-Velocity and Temperature Distributions in Incompressible and133
- References134
- Problems136
- Chapter 5. Algebraic Turbulence Models141
- 5.1 Introduction141
- 5.2 Eddy Viscosity and Mixing Length Models142
- 5.3 CS Model145
- 5.4 Extension of the CS Model to Strong Pressure -Gradient Flows159
- 5.5 Extensions of the CS Model to Navier–Stokes Methods165
- 5.6 Eddy Conductivity and Turbulent Prandtl Number Models169
- 5.7 CS Model for Three-Dimensional Flows176
- 5.8 Summary185
- References186
- Problems190
- Chapter 6.Transport-Equation Turbulence Models193
- 6.1 Introduction193
- 6.2 Two-Equation Models196
- 6.3 One-Equation Models207
- 6.4 Stress - Transport Models210
- References213
- Problems214
- Chapter 7. Short Cut Methods217
- 7.1 Introduction217
- 7.2 Flows with Zero-Pressure Gradient218
- 7.3 Flows with Pressure Gradient: Integral Methods236
- 7.4 Prediction of Flow Separation in Incompressible Flows241
- 7.5 Free Shear Flows245
- Appendix 7A258
- References260
- Problems261
- Chapter 8. Differential Methods with Algebraic Turbulence Models271
- 8.1 Introduction271
- 8.2 Numerical Solution of the Boundary-Layer Equations with Algebraic Turbulence Models272
- 8.3 Prediction of Two-Dimensional Incompressible Flows281
- 8.4 Axisymmetric Incompressible Flows290
- 8.5 Two-Dimensional Compressible Flows292
- 8.6 Axisymmetric Compressible Flows297
- 8.7 Prediction of Two-Dimensional Incompressible Flows with Separation297
- 8.8 Prediction of Three-Dimensional Flows with Separation303
- References305
- Problems307
- Chapter 9. Differential Methods with Transport-Equation Turbulence Models315
- 9.1 Introduction315
- 9.2 Zonal Method for k-ε Model316
- 9.3 Solution of the k-ε Model Equations with and without Wall Functions326
- 9.4 Evaluation of Four Turbulence Models330
- 9A. Appendix: Coefficients of the Linearized Finite-Difference Equations for the k-ε Model345
- References350
- Problems350
- Chapter 10. Companion Computer Programs361
- 10.1 Introduction361
- 10.2 Integral Methods361
- 10.3 Differential Methods with CS Model: Two-Dimensional Flows363
- 10.4 Panel Method368
- 10.5 Differential Method with CS Model: Two-Dimensional Flows with Heat Transfer368
- 10.6 Differential Method with CS Model: Infinite Swept-Wing Flows368
- 10.7 Differential Method with CS Model: Turbulent Flows with Initial Velocity Profile369
- 10.8 Differential Method with SA Model369
- 10.9 Differential Method for a Plane Jet369
- 10.10 Useful Subroutines369
- References371
- Subject Index373
Modelling and Computation of Turbulent Flows has been written by one of the most prolific authors in the field of CFD. Professor of aerodynamics at SUPAERO and director of DMAE at ONERA, the author calls on both his academic and industrial experience when presenting this work.
The field of CFD is strongly represented by the following corporate companies; Boeing; Airbus; Thales; United Technologies and General Electric, government bodies and academic institutions also have a strong interest in this exciting field.
Each chapter has also been specifically constructed to constitute as an advanced textbook for PhD candidates working in the field of CFD, making this book essential reading for researchers, practitioners in industry and MSc and MEng students.
* A broad overview of the development and application of Computational Fluid Dynamics (CFD), with real applications to industry
* A Free CD-Rom which contains computer program’s suitable for solving non-linear equations which arise in modeling turbulent flows
* Professor Cebeci has published over 200 technical papers and 14 books, a world authority in the field of CFD
The field of CFD is strongly represented by the following corporate companies; Boeing; Airbus; Thales; United Technologies and General Electric, government bodies and academic institutions also have a strong interest in this exciting field.
Each chapter has also been specifically constructed to constitute as an advanced textbook for PhD candidates working in the field of CFD, making this book essential reading for researchers, practitioners in industry and MSc and MEng students.
* A broad overview of the development and application of Computational Fluid Dynamics (CFD), with real applications to industry
* A Free CD-Rom which contains computer program’s suitable for solving non-linear equations which arise in modeling turbulent flows
* Professor Cebeci has published over 200 technical papers and 14 books, a world authority in the field of CFD