9780080445656

Compressibility, Turbulence and High Speed Flow

by ;
  • ISBN13:

    9780080445656

  • ISBN10:

    0080445659

  • Format: Hardcover
  • Copyright: 2009-07-18
  • Publisher: Elsevier Science
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Summary

This book 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. For the computation of turbulent compressible flows, current methods of averaging and filtering are presented so that the reader is exposed to a consistent development of applicable equation sets for both the mean or resolved fields as well as the transport equations for the turbulent stress field. For the measurement of turbulent compressible flows, current techniques ranging from hot-wire anemometry to PIV are evaluated and limitations assessed. Characterizing dynamic features of free shear flows, including jets, mixing layers and wakes, and wall-bounded flows, including shock-turbulence and shock boundary-layer interactions, obtained from computations, experiments and simulations are discussed. Key features: * Describes prediction methodologies including the Reynolds-averaged Navier Stokes (RANS) method, scale filtered methods and direct numerical simulation (DNS) * Presents current measurement and data analysis techniques * Discusses the linkage between experimental and computational results necessary for validation of numerical predictions * Meshes the varied results of computational and experimental studies in both free and wall-bounded flows to provide an overall current view of the field Dr. Gatski has been involved in turbulent flow research for over 25 years, primarily in the development and application of turbulent models to aerodynamic flows. He has edited books and published extensively in the field, and now serves as an Editor-in-Chief for the International Journal of Heat and Fluid Flow. Dr. Bonnet has worked on experimental research in compressible turbulence in supersonic flows since the early 1980s. He is a member of the Editorial Board of the International Journal of Heat and Fluid Flow and the ERCOFTAC Special Interest Group on turbulence in compressible flows. * Describes prediction methodologies including the Reynolds-averaged Navier Stokes (RANS) method, scale filtered methods and direct numerical simulation (DNS) * Presents current measurement and data analysis techniques * Discusses the linkage between experimental and computational results necessary for validation of numerical predictions * Meshes the varied results of computational and experimental studies in both free and wall-bounded flows to provide an overall current view of the field

Author Biography

Dr. Gatski has been involved in turbulent flow research for over 25 years, primarily in the development and application of turbulent models to aerodynamic flows. He has edited books and published extensively in the field, and now serves as an Editor-in-Chief for the International Journal of Heat and Fluid Flow. Dr. Bonnet has worked on experimental research in compressible turbulence in supersonic flows since the early 1980s. He is a member of the Editorial Board of the International Journal of Heat and Fluid Flow and the ERCOFTAC Special Interest Group on turbulence in compressible flows.

Table of Contents

Prefacep. xi
Kinematics, thermodynamics and fluid transport propertiesp. 1
Kinematic preliminariesp. 3
Motion of material elementsp. 4
Deformationp. 5
Reynolds transport theoremp. 8
Equilibrium thermodynamicsp. 9
Compressible subsonic and supersonic flowsp. 12
Turbulent flows and compressible turbulencep. 16
The dynamics of compressible flowsp. 21
Mass conservationp. 21
Momentum conservationp. 22
Surface forces: the stress tensorp. 24
Body forcesp. 26
Energy conservationp. 26
Solenoidal velocity fields and density changesp. 30
Two-dimensional flow and a Reynolds analogyp. 35
Compressible turbulent flowp. 39
Averaged and filtered variablesp. 39
Reynolds averagep. 40
Average over fixed phasep. 41
Temporal LES filtersp. 42
Spatial LES filtersp. 43
Density-weighted variablesp. 44
Transport equations for the mean/resolved fieldp. 51
Fluctuation transport equationsp. 59
Momentum and thermal flux relationshipsp. 64
Strong Reynolds analogyp. 64
Morkovin's hypothesisp. 75
Measurement and analysis strategiesp. 79
Experimental constraints for supersonic flowsp. 79
Constraints on wind tunnel testingp. 80
Constraints on data collection and measurement apparatusp. 83
Measurement methodsp. 88
Intrusive method: hot-wire anemometryp. 88
Anemometers and probesp. 89
Data reductionp. 92
Non-intrusive methodsp. 95
With particles: LDV, PIV and DGVp. 95
Without particles: Rayleigh-scattering methodsp. 100
Analysis using modal representationsp. 105
Reynolds- and Favre-averaged correlationsp. 113
Prediction strategies and closure modelsp. 117
Direct numerical simulationsp. 117
Large eddy simulations and hybrid methodsp. 121
Closure of the Reynolds-averaged Navier-Stokes equationsp. 127
Differential turbulent stress transport equationsp. 128
Turbulent stress and kinetic energy transport equationsp. 128
Turbulent stress anisotropy transport equationp. 131
Turbulent energy dissipation ratep. 135
Solenoidal dissipation rate transport equationp. 137
Dilatation dissipation ratep. 144
Pressure-strain rate correlationp. 147
Scalar flux modellingp. 153
Heat fluxp. 154
Mass fluxp. 156
Other closure issuesp. 158
Polynomial representations for second-moments and scalar fluxesp. 159
Wall proximity effectsp. 160
Compressible shear layersp. 161
Free shear flowsp. 161
Jetsp. 162
Mixing-layersp. 165
Flow structurep. 166
Spreading ratep. 170
Wakesp. 185
Base flowsp. 185
Flat plate wakesp. 188
Wall-bounded flowsp. 190
Thermal and velocity fieldsp. 191
Mean thermal fieldp. 193
Mean velocity fieldp. 196
Turbulent fieldp. 202
Skin-friction and shape factorp. 205
Shock and turbulence interactionsp. 211
Homogeneous turbulence interactionsp. 211
Application of linear theoryp. 211
Numerical simulationsp. 218
Comparison with experimental resultsp. 225
Inhomogeneous turbulence interactionp. 232
Free shear flowsp. 232
Jet/shock wave interactionsp. 233
Mixing-layer/shock wave interactionsp. 235
Wake/shock wave interactionsp. 236
Wall-bounded flowsp. 238
Referencesp. 247
Indexp. 275
Table of Contents provided by Ingram. All Rights Reserved.

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