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A theory of turbulent transport

Published online by Cambridge University Press:  26 April 2006

J. Weinstock
J. Weinstock
Affiliation:
Aeronomy Laboratory, National Oceanic and Atmospheric Administration, Boulder, CO 80303, USA
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Abstract

A calculation is made of the turbulent transport terms (third moments) that occur in the Reynolds stress equation for buoyant and/or sheared fluids. This calculation is based on neglect of a two-time fourth-order cumulant – a weaker approximation than neglect of the usual single-time fourth-order cumulant. The previously used eddy-damping assumption for single point moments is avoided. This assumption is then examined critically. Comparison is afterward made between the turbulent transport terms derived here and those derived previously by the eddy-damping method, and between the respective derivations. Also the dissipation of third moments is calculated. The calculation is formally limited to mean quantities which vary but slowly in space and time, and to small anisotropy.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 202 , May 1989 , pp. 319 - 338
Copyright
© 1989 Cambridge University Press

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