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ISSN オンライン: 2642-0554

NEW SCALING LAWS FOR TURBULENT POISEUILLE FLOW WITH WALL TRANSPIRATION

V.S. Avsarkisov
Chair of Fluid Dynamics, TU Darmstadt, Otto-Berndt-Str. 2, 64287 Darmstadt, Germany

Martin Oberlack
Chair of Fluid Dynamics, Dept. Mech. Eng., TU Darmstadt, Otto-Berndt-Str. 2, 64287 Darmstadt, Germany; Center of Smart Interfaces, TU Darmstadt, Germany; GS Computational Engineering, TU Darmstadt, Germany

Sergio Hoyas
School of Aeronautics, Universidad Politecnica de Madrid 28040 Madrid, Spain; CMT - Motores Térmicos, Universidad Politécnica de Valencia, Camino de Vera S/N, 46022 Valencia, Spain

要約

A fully developed, turbulent Poiseuille flow with wall transpiration (see figure 1), i.e. uniform blowing and suction on the lower and upper walls correspondingly, is investigated by both direct numerical simulation (DNS) of the three-dimensional, incompressible Navier-Stokes equations and Lie symmetry analysis. A new logarithmic mean velocity scaling law of wake type is found in the core region of the flow. The slope constant in the core region differs from the von Karman constant and is equal to 0.3. Extended forms of the linear viscous sublayer law and the near-wall log-law are also derived, which, as a particular case, include these laws for the classical non-transpirating channel flow.