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Space–time characteristics of a compliant wall in a turbulent channel flow

Published online by Cambridge University Press:  01 September 2014

Euiyoung Kim  and
Haecheon Choi
Euiyoung Kim
Affiliation:
Department of Mechanical and Aerospace Engineering, Seoul National University, Seoul 151-744, Korea
Haecheon Choi*
Affiliation:
Department of Mechanical and Aerospace Engineering, Seoul National University, Seoul 151-744, Korea Institute of Advanced Machines and Design, Seoul National University, Seoul 151-744, Korea
*
†Email address for correspondence: choi@snu.ac.kr
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Abstract

The space–time characteristics of a compliant wall in a turbulent channel flow are investigated using direct numerical simulation (DNS). The compliant wall is modelled as a homogeneous plane supported by spring-and-damper arrays and is passively driven by wall-pressure fluctuations. The frequency/wavenumber spectra and convection velocities of the wall-pressure fluctuations, wall displacement and wall velocity are obtained from the present simulation. As the spring, damping, and tension coefficients decrease, the wall becomes softer and the wall displacement and velocity fluctuations increase. For a relatively stiff compliant wall (i.e. large spring, damping and streamwise tension coefficients), there are few changes in the skin-friction drag and near-wall turbulence structures. However, when a compliant wall is soft (i.e. small spring, damping and streamwise tension coefficients), the wall moves in the form of a large-amplitude quasi-two-dimensional wave travelling in the downstream direction. This wave is generated by the resonance of the wall property and the near-wall flow is significantly activated by this wall motion. The power spectra of wall variables show distinct peaks near the resonance frequencies. The convection velocities of the wall motion and wall-pressure fluctuations become smaller with a softer wall.

JFM classification

Boundary Layers: Boundary layer control Turbulent Flows: Turbulent boundary layers

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Papers
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Journal of Fluid Mechanics , Volume 756 , 10 October 2014 , pp. 30 - 53
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© 2014 Cambridge University Press 

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