Compressibility, turbulence and high speed flow / Thomas B. Gatski, Jean-Paul Bonnet.

Format:

Book

Author/Creator:

Gatski, T. B.

Contributor:

Bonnet, Jean-Paul, 1949-

Edwin B. Cole Memorial Fund.

Language:

English

Subjects (All):

Turbulence.

Compressibility.

Fluid dynamics.

Physical Description:

xiv, 328 pages : illustrations ; 24 cm

Edition:

Second edition.

Place of Publication:

Oxford : Academic Press, 2013.

Summary:

Compressibility, Turbulence and High Speed Flow Second Edition, An introduction to compressible turbulent flows and compressible turbulence, with state-of-the-art measurement and analysis techniques, Compressibility, Turbulence and High Speed Flow introduces the reader to the field of compressible turbulence and compressible turbulent flows across a broad speed range, through a unique complimentary treatment of both the theoretical foundations and the measurement and analysis tools currently used. The book provides the reader with the necessary background and current trends in the theoretical and experimental aspects of compressible turbulent flows and compressible turbulence. Detailed derivations of the pertinent equations describing the motion of such turbulent flows is provided and an extensive discussion of the various approaches used in predicting both free shear and wall bounded flows is presented. Experimental measurement techniques common to the compressible flow regime are introduced with particular emphasis on the unique challenges presented by high speed flows. Both experimental and numerical simulation work is supplied throughout to provide the reader with an overall perspective of current trends. Key features include: An introduction to current techniques in compressible turbulent flow analysis, An approach for engineers to identify and solve complex compressible flow challenges, Prediction methodologies, including the Reynolds-averaged Navier Stokes (RANS) method, scale filtered methods and direct numerical simulation (DNS), Current strategies focusing on compressible flow control Book jacket.

Contents:

1 Kinematics, Thermodynamics and Fluid Transport Properties 1

1.1 Kinematic Preliminaries 4

1.1.1 Motion of Material Elements 5

1.1.2 Deformation 6

1.1.3 Reynolds Transport Theorem 10

1.2 Equilibrium Thermodynamics 11

1.3 Compressible Subsonic and Supersonic Flows 14

1.4 Turbulent Flows and Compressible Turbulence 18

2 Compressible Flow Dynamics 23

2.1 Mass Conservation 23

2.2 Momentum Conservation 24

2.2.1 Surface Forces: The Stress Tensor 26

2.2.2 Body Forces 28

2.3 Energy Conservation 28

2.4 Solenoidal Velocity Fields and Density Changes 32

2.5 Two-Dimensional Flow and a Reynolds Analogy 36

3 Compressible Turbulent Flow 39

3.1 Averaged and Filtered Variables 39

3.1.1 Reynolds Average 40

3.1.2 Average Over Fixed Phase 41

3.1.3 Temporal LES Filters 42

3.1.4 Spatial LES Filters 43

3.2 Density-Weighted Variables 44

3.3 Transport Equations for the Mean/Resolved Field 51

3.4 Fluctuation Transport Equations 59

3.5 Momentum and Thermal Flux Relationships 64

3.5.1 Strong Reynolds Analogy 64

3.5.2 Morkovin's Hypothesis 75

4 Experimental Measurement and Analysis Strategies 79

4.1 Experimental Constraints for Supersonic Flows 80

4.1.1 Constraints on Wind Tunnel Testing 80

4.1.2 Constraints on Data Collection and Measurement Apparatus 84

4.2 Measurement Methods 88

4.2.1 Intrusive Method: Hot-Wire Anemometry 89

4.2.2 Non-Intrusive Methods 96

4.3 Analysis Using Modal Representations 106

4.4 Reynolds-and Favre-Averaged Correlations 114

5 Prediction Strategies and Closure Models 117

5.1 Direct Numerical Simulations 118

5.1.1 Homogeneous Turbulence 118

5.1.2 Homogeneous Sheared Turbulence 121

5.1.3 Inhomogeneous Sheared Turbulence 123

5.2 Large Eddy Simulations and Hybrid Methods 124

5.3 Reynolds-Averaged Navier-Stokes Formulation 130

5.3.1 Turbulent Stress and Stress Anisotropy 131

5.3.2 Turbulent Energy Dissipation Rate 137

5.3.3 Velocity-Pressure Gradient Correlation 150

5.3.4 Scalar Fluxes and Variances 159

5.3.5 Other Closure Issues 165

6 Compressible Shear Layers 169

6.1 Jets 170

6.2 Mixing-Layers 174

6.2.1 Flow Structure 175

6.2.2 Spreading Rate 182

6.3 Wakes 194

6.3.1 Base Flows 195

6.3.2 Flat Plate Wakes 198

6.4 Boundary Layers 199

6.4.1 Inner Layer: Mean Field Structure 203

6.4.2 Outer Layer: Law of the Wake 211

6.4.3 Integral Parameters 213

6.4.4 Turbulent Field 221

7 Shock and Turbulence Interactions 231

7.1 Homogeneous Turbulence Interactions 231

7.1.1 Application of Linear Theory 232

7.1.2 Numerical Simulations 239

7.1.3 Experiments 245

7.2 Inhomogeneous Turbulence Interactions 253

7.2.1 Free Shear Flows 253

7.2.2 Wall-Bounded Flows 258

8 Elements of Compressible Flow Control 271

8.1 Characteristic Features 272

8.1.1 Scaling Effects 272

8.1.2 High Speed Effects of Actuators 273

8.2 Actuators 277

8.2.1 Control jets Issuing from Fluidic Actuators 277

8.2.2 Energy Deposition Type Actuators 279

8.2.3 Surface Plasma Actuators 281

8.3 Shear Flow Control 282

8.3.1 Jets and Mixing-Layers 283

8.3.2 Cavity Flows 286

8.3.3 Flows with Shocks 288.

Notes:

Previous ed.: Oxford: Elsevier Science, 2008.

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Edwin B. Cole Memorial Fund.

ISBN:

012397027X

9780123970275

OCLC:

813855569

Publisher Number:

99954901484