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Multiple-scale perturbation analysis of slowly evolving turbulence

Published online by Cambridge University Press:  28 September 2006

STEPHEN L. WOODRUFF  and
ROBERT RUBINSTEIN
STEPHEN L. WOODRUFF
Affiliation:
Center for Advanced Power Systems, Florida State University, Tallahassee, FL 32310, USA
ROBERT RUBINSTEIN
Affiliation:
Computational Aerosciences Branch, NASA Langley Research Center, Hampton, VA 23681, USA
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Abstract

A multiple-scale perturbation expansion is applied to extract a closed system of two equations governing the scalar descriptors of the turbulence energy spectrum from a spectral closure model. The result applies when the length scale and total energy input of a force that maintains a steady state of homogeneous isotropic turbulence are perturbed slowly and the energy spectrum consequently evolves slowly compared to the time scales of the turbulence itself.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 565 , 25 October 2006 , pp. 95 - 103
Copyright
© 2006 Cambridge University Press

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