Hostname: page-component-cb9f654ff-r5d9c Total loading time: 0 Render date: 2025-08-30T05:17:07.520Z Has data issue: false hasContentIssue false
  • English
  • Français

The boundary layer on a flat plate moving transversely in a rotating, stratified fluid

Published online by Cambridge University Press:  29 March 2006

Larry G. Redekopp
Larry G. Redekopp
Affiliation:
Department of Aerospace Engineering Sciences, University of Colorado Department of Aerospace Engineering, University of Southern California, Los Angeles.
Get access Rights & Permissions [Opens in a new window]

Abstract

The motion of a horizontal plate moving in its own plane in a rotating, stratified fluid is studied to establish the parameter conditions specifying the onset of boundary-layer blocking for the entire range of Rossby and Russell numbers. Régimes in Rossby–Russell number space defining the range of applicability of the inertia–viscous, buoyancy–viscous, and Coriolis–viscous boundary-layer balances are presented, and similarity solutions valid over a limited region of that space are derived. The plate drag and heat transfer are computed from the similarity solutions.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 46 , Issue 4 , 27 April 1971 , pp. 769 - 786
Copyright
© 1971 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.)

Article purchase

Temporarily unavailable

References

Barcilon, V. & Pedlosky, I. 1967 A unified linear theory of homogeneous and stratified rotating fluids J. Fluid Mech. 29, 609–621.Google Scholar
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Kelly, R. E. & Redekopp, L. G. 1970 The development of horizontal boundary layers in stratified flow. 1. Non-diffusive flow J. Fluid Mech. 42, 497–512.Google Scholar
Long, R. R. 1959 The motion of fluids with density stratification J. Geophys. Res. 64, 2151–2163.Google Scholar
Long, R. R. 1962 Velocity concentrations in stratified fluids Proc. ASCE, J. Hydraulic Div. 88, 9–26.Google Scholar
Martin, S. 1966 The slow motion of a finite flat plate in a viscous stratified fluid. The Johns Hopkins University, Technical Report OHR 4010 (01), 21.Google Scholar
Martin, S. & Long, R. R. 1968 The slow motion of a flat plate in a viscous stratified fluid, J. Fluid Mech. 31, 669–688.Google Scholar
Mihaljan, J. M. 1962 A rigorous exposition of the Boussinesq approximations Astro-phys. J. 136, 1126–1133.Google Scholar
Miles, J. W. 1969 Waves and wave drag in stratified flows. Proc. Int. Congr. Appl. Mech. 12th, 50–76. Berlin: Springer.
Moore, D. W. & Saffman, P. G. 1969 The flow induced by the transverse motion of a thin disk in its own plane through a contained rapidly rotating viscous liquid J. Fluid Mech. 39, 831–847.CrossRefGoogle Scholar
Pao, Y. H. 1968 Laminar flow of a stably stratified fluid past a flat plate J. Fluid Mech. 34, 795–808.Google Scholar
Ralston, A. & Wilf, H. S. 1960 Mathematical Methods for Digital Computers. Wiley.
Redekopp, L. G. 1970 The development of horizontal boundary layers in stratified flow. 2. Diffusive flow J. Fluid Mech. 42, 513–526.Google Scholar
Schlichting, H. 1968 Boundary Layer Theory. McGraw-Hill.