Effects of the semi-local Reynolds number in scaling turbulent statistics for wall heated/cooled supersonic turbulent boundary layers
Ryo Hirai, René Pecnik, Soshi Kawai
Abstract
Wall heat-flux effects on turbulence statistics and structures in supersonic turbulent boundary layers with the heated and cooled wall are investigated. To study effects of the semi-local Reynolds number (Re${}_{\ensuremath{\tau}}^{*}$), we conduct large eddy simulation with constant Re${}_{\ensuremath{\tau}}^{*}$ by imposing a dynamic viscosity proportional to the square root of the density and comparing to flows with a conventional viscosity given by Sutherland's law. For constant Re${}_{\ensuremath{\tau}}^{*}$, wall heated and cooled cases show collapsed turbulence statistics and structures when scaling with the semi-local length scale. The results suggest that Re${}_{\ensuremath{\tau}}^{*}$ is a similarity parameter of the flows with thermophysical property variations.