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THMT-12. Proceedings of the Seventh International Symposium On Turbulence Heat and Mass Transfer
September, 24-27, 2012, Palermo, Italy

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal


ISBN Print: 978-1-56700-302-4

ISSN: 2377-2816

Algebraic Reynolds stress and scalar flux modeling for compressible mixing layer

pages 1214-1217
DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.1250
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RESUMO

We describe the formulation of new algebraic closures for the passive scalar flux and Reynolds stresses for compressible flows. Analogous to algebraic Reynolds stress modeling, the weak-equilibrium assumption is invoked to formulate the algebraic approximation from the exact transport equations of the normalized scalar flux. We employ a pressure-scalar gradient correlation that is valid over a wide range of gradient Mach numbers, Mg and consistent with rapid distortion theory. The pressure-scalar gradient closure varies with Mg as follows: (i) the incompressible model is used at low Mg, (ii) the pressure effects are taken to be negligible compared to inertial term at very large Mg, and (iii) the action of pressure is taken to nullify the inertial effects at intermediate Mach numbers. The algebraic roots selection criteria and parameter constraints to ensure stable computations are discussed. Finally, preliminary tests for mixing layer flows are performed and the results indicate that the model performs adequately.

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