Journal of Fluid Mechanics



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Multiple-scale perturbation analysis of slowly evolving turbulence


STEPHEN L. WOODRUFF a1 and ROBERT RUBINSTEIN a2
a1 Center for Advanced Power Systems, Florida State University, Tallahassee, FL 32310, USA
a2 Computational Aerosciences Branch, NASA Langley Research Center, Hampton, VA 23681, USA

Article author query
woodruff sl   [Google Scholar] 
rubinstein r   [Google Scholar] 
 

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.

(Received March 26 2006)
(Revised July 8 2006)



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