THERMAL SCIENCE
International Scientific Journal
ON THE COMPRESSIBILITY EFFECTS IN MIXING LAYERS
ABSTRACT
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.
KEYWORDS
PAPER SUBMITTED: 2013-06-19
PAPER REVISED: 2014-02-10
PAPER ACCEPTED: 2014-03-07
PUBLISHED ONLINE: 2014-06-15
THERMAL SCIENCE YEAR
2016, VOLUME
20, ISSUE
Issue 5, PAGES [1473 - 1484]
- Goebel, S. G., Dutton, J. C., Experimental Study of Compressible Turbulent Mixing Layers, AIAA Jour-nal, 29 (1991), 4, pp. 538-546
- Vreman, A. W., et al., Compressible Mixing Layer Growth Rate and Turbulence Characteristics, J. Fluid Mech., 330 (1996), Mar., pp. 235-258
- 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
- Foysi, H., Sarkar, S., The Compressible Mixing Layers: an LES Study, Theoretical and Computational Fluid Dynamics, 24 (2010), 6, pp. 565-588
- Samimy, M, Elliot, G. S., Effects of Compressibility on the Characteristics of the Free Shear Layers, AIAA Journal, 28 (1990), 3, pp. 439-445
- Bogdanoff, D. W., Compressibility Effects in Turbulent Shear Layers, AIAA Journal, 21 (1983), 6, pp. 926-927
- Sarkar, S., The Stabilizing Effects of Compressibility in Turbulent Shear Flows, Journal of Fluid Me-chanics, 282 (1995), Jan., pp. 163-186
- Zeman, O., On the Decay of Compressible Isotropic Turbulence, Physics of Fluids A, 3 (1990), 5, pp. 951-955
- 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
- 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
- Speziale, C. G, Sarkar, S., Second Order Closure Models for Supersonic Turbulent Flows, NASA Lang-ley Research Center, Hampton, ICASE Report, 1991
- 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
- 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
- Hamba, F., Effets of Pressure Fluctuations on Turbulence Growth Compressible Homogeneous Shear Flow, Phys. Fluid, A6 (1999), 6, pp. 1623-1635
- Halouane, Y., et al., Turbulent Heat Transfer for Impinging Jet Flowing inside a Cylindrical Hot Cavity, Thermal Science, 19 (2015), 1, pp. 141-154
- Adumitroiae, V., et al., Progress in Favre Reynolds Stress Closures for Compressible Flows, Phys. Fluids, A11 (1999), 9, pp. 2696-2719
- Gomez, A., Girimaji, S., Toward Second-Moment Closure Modelling of Compressible Shear Flows, Journal of Fluid Mechanics, 733 (2013), Oct., pp. 325-369
- 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
- Hechmi, K., et.al., Apriori Evaluation of the Pantano and Sarkar Model in Compressible Homogeneous Shear Flows, Comptes Rendus Mecanique, 339 (2011), 1, pp. 27-34
- Launder, B. E., et al., Progress in the Development of a Reynolds-Stress Turbulence Closure, J. Fluid Mech., 68 (1975), pp. 537-566
- Sarkar, S., The Pressure-Dilatation Correlation in Compressible Flows, Physics of Fluids, A, 4 (1992), 12, pp. 2674-2682
- 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
- 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