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The analogy between streamline curvature and buoyancy in turbulent shear flow

Published online by Cambridge University Press:  29 March 2006

P. Bradshaw
P. Bradshaw
Affiliation:
Aerodynamics Division, National Physical Laboratory, Teddington
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Abstract

A formal algebraic analogy is drawn between meteorological parameters, such as the Richardson number, and the parameters describing the effect of rotation or streamline curvature on a turbulent flow. The analogy between the phenomena is a good first approximation. Semi-quantitative use of the analogy to apply meteorological data to curved shear layers shows that the effects of curvature on the apparent mixing length are appreciable if the shear-layer thickness exceeds roughly 1/300 of the radius of curvature; larger effects may occur in compressible flow. Application of the Monin-Oboukhov formula considerably improves the agreement between prediction and experiment in boundary layers on curved surfaces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 1 , 27 March 1969 , pp. 177 - 191
Copyright
© 1969 Cambridge University Press

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