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Near-wall response in turbulent shear flows subjected to imposed unsteadiness

Published online by Cambridge University Press:  26 April 2006

Reda R. Mankbadi  and
Joseph T. C. Liu
Reda R. Mankbadi
Affiliation:
NASA Lewis Research Center, Cleveland, Ohio 44135
Joseph T. C. Liu
Affiliation:
Division of Engineering, Brown University, Providence, Rhode Island 02912
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Abstract

Rapid-distortion theory is adapted to introduce a truly unsteady closure into a simple phenomenological turbulence model in order to describe the unsteady response of a turbulent wall layer exposed to a temporarily oscillating pressure gradient. The closure model is built by taking the ratio of turbulent shear stress to turbulent kinetic energy to be a function of the effective strain. The latter accounts for the history of the flow. The computed unsteady velocity fluctuations and modulated turbulent stresses compare favourably in the ‘non-quasi-steady’ frequency range, where quasi-steady assumptions would fail. This suggests that the concept of rapid distortion is especially appropriate for unsteady flows. This paper forms the basis for acoustical studies of the problem to be reported elsewhere.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 238 , May 1992 , pp. 55 - 71
Copyright
© 1992 Cambridge University Press

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