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ON REYNOLDS STRESS ANISOTROPY IN COMPRESSIBLE CHANNEL FLOW

Holger Foysi
Aerodynamic Institute RWTH Aachen; Fachgebiet Stromungsmechanik TU Munchen, Boltzmannstr. 15, D-85748 Garching, Germany; UC San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA

Sutanu Sarkar
Mechanical and Aerospace Engineering, University of California at San Diego, 9500 Gilman Drive, La Jolla, CA 92093

Rainer Friedrich
Lehrstuhl für Aerodynamik, Technische Universität München Boltzmannstrasse 15, D-85748 Garching, Germany

Resumo

Three direct numerical simulations of turbulent supersonic channel flow have been performed for global Mach numbers ranging from 1.5 to 3 and Reynolds numbers based on friction velocity ranging from 221 to 545.

By comparison with incompressible channel data it is shown that compressibility causes structural changes in the Reynolds stresses and those tensors which determine their transport, e.g., the pressure-rate-of-strain tensor. Conclusive explanations are provided for the increase in streamwise Reynolds stress as the Mach number increases, for the decrease in its production rate and the decrease in the pressure-rate-of-strain tensor component. Furthermore, outer scalings are provided for the Reynolds stresses and the pressure-rate-of-strain tensor.