Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-22T05:00:44.017Z Has data issue: false hasContentIssue false
  • English
  • Français

Unbounded stratified flow over a vertical barrier

Published online by Cambridge University Press:  29 March 2006

G. S. Janowitz
G. S. Janowitz
Affiliation:
Division of Fluid, Thermal and Aerospace Sciences, Case Western Reserve University, Cleveland, Ohio
Get access Rights & Permissions [Opens in a new window]

Abstract

The horizontal, linearly stratified, non-diffusive, high Reynolds number flow of an unbounded fluid over a two-dimensional vertical barrier is studied for a range of internal Froude numbers (Fi) under the Oseen and Boussinesq approximations. For F1 > 0·47 the most prominent feature of the flow is the system of large amplitude lee waves located downstream of the barrier with crests tilted in the upstream direction. For 0·47 < F1 < 0·6 the crests actually extend upstream of the barrier and appear as flows of alternating direction over the barrier. For 0·47 < Fi < 0·5 reversed flows due to these waves actually extend far upstream. For Fi < 0·47 a blocking column upstream of the obstacle, as well as large amplitude lee waves, is present. For even smaller 3. the amplitude of the lee-wave system diminishes but the blocking column remains. It is also shown that the steady-state solution obtained by Trustrum (1964, 1971) for the density and pressure field is drastically altered if a small viscosity is retained in the transient analysis.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 58 , Issue 2 , 17 April 1973 , pp. 375 - 388
Copyright
© 1973 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

Bretherton, F. P. 1967 The time-dependent motion due to a cylinder in an unbounded rotating or stratified fluid. J. Fluid Mech. 28, 545.Google Scholar
Janowitz, G. S. 1968 On wakes in stratified fluids. J. Fluid Mech. 33, 417.Google Scholar
Janowitz, G. S. 1971 The slow transverse motion of a flat plate through a non-diffusive stratified fluid. J. Fluid Mech. 47, 171.Google Scholar
Long, R. R. 1953 Some aspects of the flow of stratified fluids. I. A theoretical investigation. Tellus, 5, 42.Google Scholar
Martin, S. 1966 The slow motion of a finite flat plate through a viscous stratified fluid. Dept. of Mech., The Johns Hopkins University Tech. Rep. no. 21 (ONR Ser.) Nonr- 4010(01).
Miles, J. W. 1968 Lee waves in a stratified flow. Part 1. Thin barrier. J. Fluid Mech. 32, 549.Google Scholar
Miles, J. W. 1971 Upstream boundary-layer separation in stratified flow. J. Fluid Mech. 48, 791.Google Scholar
Trustrum, K. 1964 Rotating and stratified fluid flow. J. Fluid Mech. 19, 415.Google Scholar
Trustrum, K. 1971 An Oseen model of the two-dimensional flow of a stratified fluid over an obstacle. J. Fluid Mech. 50, 177.Google Scholar