Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T08:42:21.327Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.