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An inequality concerning the production of vorticity in isotropic turbulence

Published online by Cambridge University Press:  28 March 2006

R. Betchov
R. Betchov
Affiliation:
Department of Aeronautics, The Johns Hopkins Univeristy, Baltimore
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Abstract

An inequality is demonstrated involving the rate of production S of mean-square vorticity in isotropic turbulence and a factor γ which may be said to allow for intermittency or for the non-vanishing of fourth-order cumulants. An extreme state, corresponding to equality of this relationship, occurs if S = 0·64 and γ = 2·14. The experimental values are S = 0·4 and γ = 4. Another kinematical relation shows that the mechanism of vorticity production resembles collision between fluid particles rather than the swirling of contracting jets.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 1 , Issue 5 , November 1956 , pp. 497 - 504
Copyright
© 1956 Cambridge University Press

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