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Turbulent channel flow over an anisotropic porous wall – drag increase and reduction

Published online by Cambridge University Press:  12 March 2018

Marco E. Rosti Open the ORCID record for Marco E. Rosti [Opens in a new window] ,
Luca Brandt Open the ORCID record for Luca Brandt [Opens in a new window]  and
Alfredo Pinelli
Marco E. Rosti*
Affiliation:
Linné Flow Centre and SeRC, KTH Mechanics, Stockholm, Sweden
Luca Brandt
Affiliation:
Linné Flow Centre and SeRC, KTH Mechanics, Stockholm, Sweden
Alfredo Pinelli
Affiliation:
School of Mathematics, Computer Science and Engineering, City, University of London, UK
*
†Email address for correspondence: merosti@mech.kth.se
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Abstract

The effect of the variations of the permeability tensor on the close-to-the-wall behaviour of a turbulent channel flow bounded by porous walls is explored using a set of direct numerical simulations. It is found that the total drag can be either reduced or increased by more than 20 % by adjusting the permeability directional properties. Drag reduction is achieved for the case of materials with permeability in the vertical direction lower than the one in the wall-parallel planes. This configuration limits the wall-normal velocity at the interface while promoting an increase of the tangential slip velocity leading to an almost ‘one-component’ turbulence where the low- and high-speed streak coherence is strongly enhanced. On the other hand, strong drag increase is found when high wall-normal and low wall-parallel permeabilities are prescribed. In this condition, the enhancement of the wall-normal fluctuations due to the reduced wall-blocking effect triggers the onset of structures which are strongly correlated in the spanwise direction, a phenomenon observed by other authors in flows over isotropic porous layers or over ribletted walls with large protrusion heights. The use of anisotropic porous walls for drag reduction is particularly attractive since equal gains can be achieved at different Reynolds numbers by rescaling the magnitude of the permeability only.

JFM classification

Flow Control: Drag reduction Flow Control: Mixing enhancement Turbulent Flows: Turbulence simulation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 842 , 10 May 2018 , pp. 381 - 394
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Copyright
© 2018 Cambridge University Press 

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