International Scientific Journal

Authors of this Paper

External Links


Previous studies of compressible flows carried out in the past few years have shown that the pressure-strain is the main indicator of the structural compressibility effects. Undoubtedly, this terms plays a key role toward strongly changing magnitude of the turbulent Reynolds stress anisotropy. On the other hand, the incompressible models of the pressure-strain correlation have not correctly predicted compressible turbulence at high speed shear flow. Consequently, a correction of these models is needed for precise prediction of compressibility effects. In the present work, a compressibility correction of the widely used incompressible Launder Reece and Rodi model making their standard coefficients dependent on the turbulent and convective Mach numbers is proposed. The ability of the model to predict the developed mixing layers in different cases from experiments of Goebel and Dutton is examined. The predicted results with the proposed model are compared with DNS and experimental data and those obtained by the compressible model of Adumitroiae et al. and the original LRR model. The results show that the essential compressibility effects on mixing layers are well captured by the proposed model.
PAPER REVISED: 2014-02-10
PAPER ACCEPTED: 2014-03-07
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 5, PAGES [1473 - 1484]
  1. Goebel, S. G., Dutton, J. C., Experimental Study of Compressible Turbulent Mixing Layers, AIAA Jour-nal, 29 (1991), 4, pp. 538-546
  2. Vreman, A. W., et al., Compressible Mixing Layer Growth Rate and Turbulence Characteristics, J. Fluid Mech., 330 (1996), Mar., pp. 235-258
  3. Pantano, C., Sarkar, S., A Study of Compressibility Effects in the High Speed Turbulent Shear Layer Using Direct Simulation, J. Fluid Mech., 451 (2002), Jan., pp. 329-371
  4. Foysi, H., Sarkar, S., The Compressible Mixing Layers: an LES Study, Theoretical and Computational Fluid Dynamics, 24 (2010), 6, pp. 565-588
  5. Samimy, M, Elliot, G. S., Effects of Compressibility on the Characteristics of the Free Shear Layers, AIAA Journal, 28 (1990), 3, pp. 439-445
  6. Bogdanoff, D. W., Compressibility Effects in Turbulent Shear Layers, AIAA Journal, 21 (1983), 6, pp. 926-927
  7. Sarkar, S., The Stabilizing Effects of Compressibility in Turbulent Shear Flows, Journal of Fluid Me-chanics, 282 (1995), Jan., pp. 163-186
  8. Zeman, O., On the Decay of Compressible Isotropic Turbulence, Physics of Fluids A, 3 (1990), 5, pp. 951-955
  9. Ristorcelli, J. R., A Pseudo-Sound Constitutive Relationship for the Dilatational Covariance in Com-pressible Turbulence, Journal of Fluid Mechanics, 347 (1997), Sep., pp. 37-70
  10. Sarkar, S., et al., The Analysis and Modeling of Dilatational Terms in Compressible Turbulence, Jour-nal of Fluid Mechanics, 227 (1990), June, pp. 473-493
  11. Speziale, C. G, Sarkar, S., Second Order Closure Models for Supersonic Turbulent Flows, NASA Lang-ley Research Center, Hampton, ICASE Report, 1991
  12. Blaisdell, G. A., Sarkar, S., Investigation of the Pressure-Strain Correlation in Compressible Homogene-ous Turbulent Shear Flow, ASME FED, 151 (1993), pp. 133-138
  13. Simone, S., et al., The Effect of Compressibility on Turbulent Shear Flow: A Rapid Distorsion -Theory and Direct Numerical Simulation Study, J. Fluid Mech., 330 (1997), 1, pp. 307-338
  14. Hamba, F., Effets of Pressure Fluctuations on Turbulence Growth Compressible Homogeneous Shear Flow, Phys. Fluid, A6 (1999), 6, pp. 1623-1635
  15. Halouane, Y., et al., Turbulent Heat Transfer for Impinging Jet Flowing inside a Cylindrical Hot Cavity, Thermal Science, 19 (2015), 1, pp. 141-154
  16. Adumitroiae, V., et al., Progress in Favre Reynolds Stress Closures for Compressible Flows, Phys. Fluids, A11 (1999), 9, pp. 2696-2719
  17. Gomez, A., Girimaji, S., Toward Second-Moment Closure Modelling of Compressible Shear Flows, Journal of Fluid Mechanics, 733 (2013), Oct., pp. 325-369
  18. Maryzougui, H., et al., Extension of the Launder, Reece and Rodi Model on Compressible Homogene-ous Shear Flow, Eur. Phys. J.B, 45 (2005), 1, pp. 147-154
  19. Hechmi, K.,, Apriori Evaluation of the Pantano and Sarkar Model in Compressible Homogeneous Shear Flows, Comptes Rendus Mecanique, 339 (2011), 1, pp. 27-34
  20. Launder, B. E., et al., Progress in the Development of a Reynolds-Stress Turbulence Closure, J. Fluid Mech., 68 (1975), pp. 537-566
  21. Sarkar, S., The Pressure-Dilatation Correlation in Compressible Flows, Physics of Fluids, A, 4 (1992), 12, pp. 2674-2682
  22. Dimotakis, P. E., Turbulent Free Shear Layer Mixing and Combustion, in: Progress in Astronautics and Aeronautics, Murthy and Curran (eds), AIAA. 137 (1991), Washington DC, USA
  23. Freund, J. B., et al., Compressibility Effects in a Turbulent Annular Mixing Layer, Part 1, Turbulence and Growth Rate. J. Fluid Mech., 421 (2000), Oct., pp. 229-267

© 2023 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence