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NEAR-WALL TURBULENCE MODIFICATION BY TUNED WALL-IMPEDANCE

Carlo Scalo
Department of Mechanical and Materials Engineering. Queen's University, 130 Stuart Street, Kingston, Ontario, Canada; School of Mechanical Engineering Purdue University 585 Purdue Mall, West Lafayette, IN 47907, USA

Julien Bodart
Université de Toulouse, Institut Supérieur de l'Aéronautique et de l'Espace (ISAE) BP 54032 - 31055 TOULOUSE Cedex 4,France; Center for Turbulence Research Stanford University, Stanford, CA 94305, USA

Sanjiva K. Lele
Dept. of Aeronautics & Astronautics, and Dept. of Mechanichal Engineering Stanford University, Stanford, CA 94305-4035, USA

Laurent Joly
Department of Aerodynamics and Propulsion (DAEP) ISAE-SUPAERO, University of Toulouse 10 Avenue Edouard Belin, 31055 Toulouse, France

Resumo

We have performed large-eddy simulations of compressible turbulent channel flow at one bulk Reynolds number, Reb = 6900, for bulk Mach numbers Mb = 0.05, 0.2, 0.5, with linear acoustic impedance boundary conditions (IBCs), as shown in figure 1. The IBCs are formulated in the time domain following Fung & Ju (2004) and coupled with a fully compressible Navier-Stokes solver. The impedance model adopted is a three-parameter Helmholtz oscillator with resonant frequency tuned to the outer layer eddies. The IBC's resistance, R, has been varied in the range, R = 0.01, 0.10, 1.00. Tuned IBCs result in a noticeable drag increase for sufficiently high Mb and/or low R, exceeding 300% for Mb = 0.5 and R = 0.01, and thus represents a promising passive control technique for delaying boundary layer separation and/or enhancing wall heat transfer. Alterations to the turbulent flow structure are confined to the first 15% of the boundary layer thickness where the classical buffer-layer coherent vortical structures are replaced by an array of Kelvin-Helmholtz-like rollers resulting from a hydro-acoustic instability. The non-zero asymptotic value of the Reynolds shear stress gradient at the wall results in the disappearance of the viscous sublayer and very early departure of the mean velocity profiles from the law of the wall. More details can be found in Scalo et al. (2015).