Pressure strain rate modeling of homogeneous axisymmetric turbulence

Recently several second order closure models have been proposed for closing the second moment equations, in which the velocity–pressure gradient tensor and the dissipation rate tensor are two of the most important terms. In the literature, the velocity–pressure gradient tensor is usually decomposed into a so called rapid term and a return-to-isotropy term. Models of these terms have been used in global flow calculations together with other modeled terms. However, their individual behavior in different flows has not been fully examined, because they are unmeasurable in the laboratory. Recently, the experimental data for axi-symmetric flow measurements of Ertunc (2008) (J.L. Lumley, 1975) have given us the opportunity to do this kind of study. In this article, we make direct comparisons of five representative rapid pressure strain rate models and eight return-to-isotropy models with the experimental data for axi-symmetric flow measurements of Ertunc (2008) (J.L. Lumley, 1975) and the theoretical RDT results...