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The development of horizontal boundary layers in stratified flow. Part 2. Diffusive flow

Published online by Cambridge University Press:  29 March 2006

L. G. Redekopp
Affiliation:
Department of Aerospace Engineering University of Colorado Boulder, Colorado 80302

Abstract

The boundary layer on the upper surface of a horizontal plane in a diffusive, stratified flow is examined. The analysis shows that density diffusion increases the role of the buoyancy forces and causes a significant change in the properties of the boundary layer when compared to the non-diffusive case. A uniformly valid first approximation for moderate Russell numbers is derived, and the effects of buoyancy and diffusion are evaluated by solving the resulting equations numerically.

Type
Research Article
Copyright
© 1970 Cambridge University Press

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References

Kelly, R. E. & Redekopp, L. G. 1970 The development of horizontal boundary layers in stratified flow. Part 1. Non-diffusive flow. J. Fluid Mech. 42, 497.Google Scholar
Martin, S. & Long, R. R. 1968 The slow motion of a flat plate in a viscous stratified fluid. J. Fluid Mech. 31, 669688.Google Scholar
Pao, Y. H. 1968 Laminar flow of a stably stratified fluid past a flat plate. J. Fluid Mech. 34, 795808.Google Scholar
Ralston, A. & Wilf, H. S. 1960 Mathematical Methods for Digital Computers. New York: Wiley.
Rosenhead, L. (Ed.) 1963 Laminar Boundary Layers. Oxford University Press.
Schlichting, H. 1968 Boundary Layer Theory. New York: McGraw-Hill.