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Spanwise reflection symmetry breaking and turbulence control: plane Couette flow

Published online by Cambridge University Press:  19 March 2014

G. Chagelishvili ,
G. Khujadze ,
H. Foysi  and
M. Oberlack
G. Chagelishvili
Affiliation:
Abastumani Astrophysical Observatory, Ilia State University, Tbilisi 0160, Georgia M. Nodia Institute of Geophysics, Tbilisi State University, Tbilisi 0128, Georgia Chair of Fluid Dynamics, Technische Universität Darmstadt, Darmstadt 64287, Germany
G. Khujadze*
Affiliation:
Abastumani Astrophysical Observatory, Ilia State University, Tbilisi 0160, Georgia Chair of Fluid Mechanics, Universität Siegen, Paul-Bonatz-Str. 9-11, 57068 Siegen, Germany
H. Foysi
Affiliation:
Chair of Fluid Mechanics, Universität Siegen, Paul-Bonatz-Str. 9-11, 57068 Siegen, Germany
M. Oberlack
Affiliation:
Chair of Fluid Dynamics, Technische Universität Darmstadt, Darmstadt 64287, Germany GS Comp. Engineering, Technische Universität Darmstadt, Darmstadt 64287, Germany
*
†Email address for correspondence: [email protected]
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Abstract

We propose and analyse a new strategy of shear flow turbulence control that can be realized by the following steps: (i) imposing specially designed seed velocity perturbations, which are non-symmetric in the spanwise direction, at the walls of a flow; (ii) the configuration of the latter ensures a gain of shear flow energy and the breaking of turbulence spanwise reflection symmetry: this leads to the generation of spanwise mean flow; (iii) that changes the self-sustained dynamics of turbulence and results in a considerable reduction of the turbulence level and the production of turbulent kinetic energy. In fact, by this strategy the shear flow transient growth mechanism is activated and the formed spanwise mean flow is an intrinsic, nonlinear composition of the controlled turbulence and not directly introduced in the system. In the present paper, a weak near-wall volume forcing is designed to impose the velocity perturbations with required characteristics in the flow. The efficiency of the proposed scheme has been demonstrated by direct numerical simulation using plane Couette flow as a representative example. A promising result was obtained: after a careful parameter selection, the forcing reduces the turbulence kinetic energy and its production by up to one-third. The strategy can be naturally applied to other wall-bounded flows, e.g. channel and boundary-layer flows. Of course, the considered volume force is theoretical and hypothetical. Nevertheless, it helps to gain knowledge concerning the design of the seed velocity field that is necessary to be imposed in the flow to achieve a significant reduction of the turbulent kinetic energy. This is convincing with regard to a new control strategy, which could be based on specially constructed blowing/suction or riblets, by employing the insight gained by the comprehension of the results obtained using the investigated methodology in this paper.

JFM classification

Flow Control: Flow Control Turbulent Flows: Turbulence control Turbulent Flows: Turbulent Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 745 , 25 April 2014 , pp. 300 - 320
Copyright
© 2014 Cambridge University Press 

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