Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-06T08:27:28.408Z Has data issue: false hasContentIssue false
  • English
  • Français

Stratified flow over a bounded obstacle in a channel of finite height

Published online by Cambridge University Press:  20 April 2006

G. S. Janowitz
G. S. Janowitz
Affiliation:
Department of Marine Science and Engineering, North Carolina State University, Raleigh, NC 27650
Get access Rights & Permissions [Opens in a new window]

Abstract

The steady-state solution for the stratified flow over a bounded obstacle in a channel of finite height is obtained through the use of the inviscid unsteady Oseen equations; the body streamline encloses and is produced by a planar momentum sink. The calculations are compared with the experimental observations of Wei, Kao & Pao (1975) and Baines (1977). In a case where theoretical and experimental values match, good agreement was found. This suggests that the Oseen model with its columnar, wavelike and decaying solutions may provide a reasonable alternative to Long's model for subcritical flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 110 , September 1981 , pp. 161 - 170
Copyright
© 1981 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

Baines, P. G. 1977 Upstream influence and Long's model in stratified flows. J. Fluid Mech. 82, 147.Google Scholar
Janowitz, G. S. 1968 On wakes in stratified fluids. J. Fluid Mech. 33, 417.Google Scholar
Janowitz, G. S. 1974 Line singularities in unbounded stratified flow. J. Fluid Mech. 66, 455.Google Scholar
Lighthill, M. J. 1965 Group velocity. J. Inst. Math. Applics 1, 1.Google Scholar
Lighthill, M. J. 1967 On waves generated in dispersive systems by travelling forcing effects, with applications to the dynamics of rotating fluids. J. Fluid Mech. 27, 725.Google Scholar
Long, R. R. 1955 Some aspects of the flow of stratified fluids. III. Continuous density gradients. Tellus 7, 343.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
Wei, S. N., Kao, T. W. & Pao, H. P. 1975 Geophys. Fluid Dyn. 6, 315.
Wong, K. K. & Kao, T. W. 1970 Stratified flow over extended obstacles and its application to topographic effect on ambient wind shear. J. Atmos. Sci. 27, 884.Google Scholar