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The development of horizontal boundary layers in stratified flow. Part 1. Non-diffusive flow

Published online by Cambridge University Press:  29 March 2006

R. E. Kelly  and
L. G. Redekopp
R. E. Kelly
Affiliation:
School of Engineering and Applied Science, University of California, Los Angeles, California 90024
L. G. Redekopp
Affiliation:
School of Engineering and Applied Science, University of California, Los Angeles, California 90024 Present address: Department of Aerospace Engineering, University of Colorado, Boulder, Colorado 80302.
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Abstract

The development of the boundary layer on the upper surface of a horizontal flat plate in a non-diffusive, stratified flow is described. It is shown that the flow can be characterized by two basic parameters, the Reynolds (RL) and Russell (RuL) numbers, and that, depending on the relative magnitude of these two parameters, three different régimes of flow can be defined. The delineation of these régimes and the description of the flow in each of them is obtained by deriving a uniformly valid first approximation to the Boussinesq equations of motion for a flow contained in the two-dimensional parameter space RuL > 0, RL > 1. The critical stratification for the self-blocking of a horizontal boundary layer is shown to be given by the condition RuL = O(RL½).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 3 , 9 July 1970 , pp. 497 - 511
Copyright
© 1970 Cambridge University Press

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