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On curve and surface stretching in isotropic turbulent flow

Published online by Cambridge University Press:  26 April 2006

N. Etemadi
N. Etemadi
Affiliation:
Center for Turbulence Research, Stanford University, CA 94305, USAand Department of Mathematics, Statistics and Computer Science, University of Illinois, Box 4348, Chicago, IL 60680, USA
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Abstract

Cocke (1969) showed that, on average, infinitesimal material lines and surfaces are stretched in incompressible isotropic turbulence. We have extended those results to obtain upper and lower bounds for the stretching of such infinitesimal elements in terms of the eigenvalues of the Green deformation tensor. These bounds are in turn used to find bounds for the stretching of finite material lines and surfaces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 221 , December 1990 , pp. 685 - 692
Copyright
© 1990 Cambridge University Press

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References

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