The effect of the Reynolds number in a supersonic isothermal channel flow is studied using a direct numerical simulation (DNS). The bulk Mach number based on the wall temperature is 1.5, and the bulk Reynolds number is increased up to Reτ ≈ 1000. The use of van Driest velocity transformation in the presence of heated walls has been questioned due to the poor accuracy at low Reynolds number. For this reason alternative transformations of the velocity profile and turbulence statistics have been proposed, as, for instance, semi-local scalings. We show that the van Driest transformation recovers its accuracy as the Reynolds number is increased. The Reynolds stresses collapse on the incompressible ones, when properly scaled with density, and very good agreement with the incompressible stresses is found in the outer layer.

High-Reynolds-number effects on turbulent scalings in compressible channel flow / Modesti, Davide; Bernardini, Matteo; Pirozzoli, Sergio. - In: PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS. - ISSN 1617-7061. - ELETTRONICO. - 15:1(2015), pp. 489-490. (Intervento presentato al convegno 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics. GAMM 2015 tenutosi a Lecce nel Marzo 2015) [10.1002/pamm.201510235].

High-Reynolds-number effects on turbulent scalings in compressible channel flow

MODESTI, DAVIDE
Writing – Original Draft Preparation
;
BERNARDINI, MATTEO;PIROZZOLI, Sergio
2015

Abstract

The effect of the Reynolds number in a supersonic isothermal channel flow is studied using a direct numerical simulation (DNS). The bulk Mach number based on the wall temperature is 1.5, and the bulk Reynolds number is increased up to Reτ ≈ 1000. The use of van Driest velocity transformation in the presence of heated walls has been questioned due to the poor accuracy at low Reynolds number. For this reason alternative transformations of the velocity profile and turbulence statistics have been proposed, as, for instance, semi-local scalings. We show that the van Driest transformation recovers its accuracy as the Reynolds number is increased. The Reynolds stresses collapse on the incompressible ones, when properly scaled with density, and very good agreement with the incompressible stresses is found in the outer layer.
2015
86th Annual Meeting of the International Association of Applied Mathematics and Mechanics. GAMM 2015
compressible channel flow; high Reynolds
04 Pubblicazione in atti di convegno::04c Atto di convegno in rivista
High-Reynolds-number effects on turbulent scalings in compressible channel flow / Modesti, Davide; Bernardini, Matteo; Pirozzoli, Sergio. - In: PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS. - ISSN 1617-7061. - ELETTRONICO. - 15:1(2015), pp. 489-490. (Intervento presentato al convegno 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics. GAMM 2015 tenutosi a Lecce nel Marzo 2015) [10.1002/pamm.201510235].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/850191
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