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Turbulence Heat and Mass Transfer 6. Proceedings of the Sixth International Symposium On Turbulence Heat and Mass Transfer
September, 14-18, 2009, Rome, Italy

DOI: 10.1615/ICHMT.2009.TurbulHeatMassTransf


ISBN Print: 978-1-56700-262-1

ISSN: 2377-2816

Revisiting the pressure-strain correlation model with the aid of the rapid distortion theory

page 12
DOI: 10.1615/ICHMT.2009.TurbulHeatMassTransf.2360
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摘要

The rapid part of pressure-strain correlation is one of the key elements in the second-moment closure of turbulence. It is shown in this work that the existing model proposals exhibit some apparent deficiencies when subjected to flows with rapid distortion. From Mansour et al.'s relatively straightforward rapid distortion analysis, if an initially anisotropic flow undergoes a purely rapid rotation, the anisotropy measures will exhibit the behavior of damped oscillations [13]. Within the current framework of modeling the rapid pressure-strain correlation, i.e., the models based on the assumption that the M-tensor for rapid pressure-strain term is expandable in the Reynolds-stress anisotropy tensor bij alone, all model predictions fail to give damped oscillations in the turbulence anisotropy. In the case of initially isotropic turbulence subjected to rapid distortion, Sjögren & Johansson [8] showed that all the existing rapid pressure-strain models would deliver the identical path in the anisotropy-invariant map for both plane strain and homogeneous shear flows. The rapid distortion analysis shows two distinct curves reflecting different flow physics. In this work, the deficiencies in the modeling strategy are overcome through the inclusion of the rotation rate tensor Ωij in the expansion of the fourth rank M-tensor. The equations for the second and third invariants of the Reynolds-stress anisotropy tensors, ΙΙb and ΙΙΙb , are thus sensitive to large velocity gradients. The model proposed here is effective in reflecting the rapid distortion effects on turbulence with the aid of rapid distortion theory.

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