Turbulence statistics and coherent structures in compressible channel flow

Jie Yao and Fazle Hussain
Phys. Rev. Fluids 5, 084603 – Published 7 August 2020

Abstract

Direct numerical simulations of compressible turbulent channel flows are performed for bulk Mach numbers 0.8 and 1.5 and bulk Reynolds numbers in the range of 300034000. The compressibility effects are well accounted for when using the semilocal scaling, as expected. Compared to incompressible flows at comparable semilocal Reynolds number Reτc*, the mean velocity profile perfectly collapses after the Trettel and Larsson transformation [Trettel and Larsson, Phys. Fluids 28, 026102 (2016)]. Furthermore, the Reynolds stresses, such as their peak values and locations, follow similar trends as in incompressible cases. In particular, the Reynolds shear stress peak follows the nonuniversal scaling transition predicted by Chen et al. [J. Fluid Mech. 871, R2 (2019)]. Although the streamwise Reynolds stress peak continuously increases with Mach number, this increase becomes smaller as the Reynolds number increases. The streamwise and spanwise velocity spectra reveal that the typical eddy size does not vary with the Mach number when scaled using the local friction velocity and thermodynamic properties. Additionally, the compressibility contribution to the skin friction continuously decreases with Reynolds numbers. These results suggest that incompressible and compressible flows differ little at sufficiently high Reynolds number.

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  • Received 18 April 2020
  • Accepted 2 July 2020

DOI:https://doi.org/10.1103/PhysRevFluids.5.084603

©2020 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Jie Yao* and Fazle Hussain

  • Department of Mechanical Engineering, Texas Tech University, Lubbock, Texas 79409, USA

  • *jie.yao@ttu.edu
  • fazle.hussain@ttu.edu

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Vol. 5, Iss. 8 — August 2020

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