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INVESTIGATION OF THE LAW-OF-THE-WALL IN A TURBULENT BOUNDARY LAYER FLOW WITH ADVERSE PRESSURE GRADIENT AT REθ = 10000 USING LARGE-SCALE PIV

Tobias Knopp
Institute of Aerodynamics and Flow Technology German Aerospace Center (DLR) Bunsenstr. 10, 37073 Gottingen, Germany

Daniel Schanz
Institute of Aerodynamics and Flow Technology German Aerospace Center (DLR) Bunsenstr. 10, 37073 Gottingen, Germany

Andreas Schroder
Institute of Aerodynamics and Flow Technology German Aerospace Center (DLR) Bunsenstr. 10, 37073 Gottingen, Germany

Rainer Hain
Institute for Fluid Mechanics and Aerodynamics Universitat der Bundeswehr Munchen (UniBw) Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany

Christian J. Kahler
Institute for Fluid Mechanics and Aerodynamics Universitat der Bundeswehr Munchen (UniBw) Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany

Résumé

We present an experimental investigation and data analysis of a turbulent boundary layer flow at a significant adverse pressure gradient at Reynolds number Reθ = 10000 using large field PIV The aim is to find a wall-law for the mean-velocity in the inner layer. We consider scaling law diagnostic functions together with the Millikan argument. The inner part can be fitted by the log-law, but is progressively reduced. In the outer part, the overlap layer, the log-law ceases to be valid. Instead, a modified log-law gives a good fit, which needs as parameters the pressure gradient parameter and the mean inertial effects. We then attempt to find a quantitative description which is local in wall-normal direction without streamwise history effects.