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Homogeneously-sheared compressible turbulence at the rapid distortion limit: Interaction between velocity and thermodynamic fluctuations

DOI: 10.1615/ICHMT.2009.TurbulHeatMassTransf.780
12 pages

S. Suman
Department of Aerospace Engineering, Texas A&M University College Station, Texas 77843-3141, USA

Sharath S. Girimaji
Department of Aerospace Engineering, Texas A&M University, College Station, Texas, USA; Department of Ocean Engineering, Texas A&M University, College Station, Texas, USA

Rebecca L. Bertsch
Department of Aerospace Engineering, Texas A&M University College Station, Texas 77843-3141, USA; Los Alamos National Laboratory, Los Alamos, USA


Compressible turbulence involves complex interactions between flow and thermodynamic fluctuations. In this paper, we investigate the effect of velocity and thermodynamic initial conditions (fluctuations) on homogeneously-sheared turbulence evolution in the rapid distortion limit. In compressible turbulence, rapid distortion theory (RDT) can be based on linearization about the Favre-averaged field (F-RDT) or Reynolds-averaged field (R-RDT). Computations from both types of RDT are presented at various gradient and turbulent Mach numbers. The well-known stabilizing influence of compressibility on turbulence is shown to be profoundly affected by increasing level of initial temperature fluctuations. The tendency toward equi-partition between internal and kinetic energy is also investigated. The relationship between density and pressure fluctuations is also examined. Overall, the results provide valuable insight into the interaction between velocity and thermodynamic variables.

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