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Direct numerical simulations of compressible turbulent channel flows are performed for bulk Mach numbers M₁ = 0. 8 and 1. 5 and bulk Reynolds numbers Re₁ up to 34000. It is shown that the incompressible and compressible flows become similar at high Re₁. Most of the compressibility effects can be considered using semilocal scaling. Although the streamwise Reynolds stress peak continuously increases with M₁, the change with M₁ decreases at higher Re₁.
Yao et al. (Fri,) studied this question.