Geodesic
Near-wall scaling for incompressible and compressible flows
N. Peller1 ; M. Manhart1 ; M. Petrovan Boiarciuc2 ; C. Brun2
1 Fachgebiet Hydromechanik, Technische Universität München, Arcisstrasse 21, 80333 München, Germany.
2 Laboratoire de Mécanique et d'Energétique, Polytech'Orléans, 8 rue Léonard de Vinci, 45072 Orléans France.
ESAIM. Proceedings, Tome 16 (2007), pp. 114-132.

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The paper presents near-wall scaling in incompressible and compressible flows. It concentrates on flows with streamwise pressure gradients which render traditional scaling inapplicable. For incompressible flows a scaling for the velocity profiles is introduced based on both the friction velocity and the pressure gradient. For compressible flows a scaling is developed for the velocity and the temperature. This scaling is based on wall friction, pressure gradient and wall heat flux. We define two new parameters α and β where α defines a measure for the ratio between wall friction and pressure gradient and β defines the ratio between wall heat flux and pressure gradient. For zero pressure gradient flows the traditional scaling is recovered. A priori tests are performed by means of Direct Numerical Simulations (DNS). The compressible scaling is analyzed on channel flow with non-adiabatic walls and adverse pressure gradient. The incompressible scaling is analyzed on channel flow with periodic hill constrictions. Finally a wall model based on the new scaling is tested a posteriori by means of Large Eddy Simulation (LES).
DOI : 10.1051/proc:2007015

N. Peller 1 ; M. Manhart 1 ; M. Petrovan Boiarciuc 2 ; C. Brun 2

1 Fachgebiet Hydromechanik, Technische Universität München, Arcisstrasse 21, 80333 München, Germany.
2 Laboratoire de Mécanique et d'Energétique, Polytech'Orléans, 8 rue Léonard de Vinci, 45072 Orléans France. 
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     title = {Near-wall scaling for incompressible and compressible flows},
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N. Peller; M. Manhart; M. Petrovan Boiarciuc; C. Brun. Near-wall scaling for incompressible and compressible flows. ESAIM. Proceedings, Tome 16 (2007), pp. 114-132. doi : 10.1051/proc:2007015. http://geodesic.mathdoc.fr/articles/10.1051/proc:2007015/

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