Hostname: page-component-76fb5796d-9pm4c Total loading time: 0 Render date: 2024-04-30T01:06:33.693Z Has data issue: false hasContentIssue false
  • English
  • Français

An Oseen model of the two-dimensional flow of a stratified fluid over an obstacle

Published online by Cambridge University Press:  29 March 2006

Kathleen Trustrum
Kathleen Trustrum
Affiliation:
School of Mathematical and Physical Sciences, University of Sussex
Get access Rights & Permissions [Opens in a new window]

Abstract

The Oseen equations for the two-dimensional flow of a Boussinesq fluid over a thin barrier placed in a channel of finite depth are solved in the double limit ν → 0, t → ∞ under the hypothesis that the velocity at the tip of the barrier is as weakly singular as possible. The predicted flow patterns and drag coefficients are in closer agreement with Davis's experimental observations than those of the Long model.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 50 , Issue 1 , 15 November 1971 , pp. 177 - 188
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.)

References

Bretherton, F. P. 1967 The time-dependent motion due to a cylinder moving in an unbounded rotating or stratified fluid. J. Fluid Mech. 28, 545.Google Scholar
Davis, R. E. 1969 The two-dimensional flow of a stratified fluid over an obstacle. J. Fluid Mech. 36, 127.Google Scholar
Drazin, P. G. & Moore, D. W. 1967 Steady two-dimensional flow of a fluid of variable density over an obstacle. J. Fluid Mech. 28, 353.Google Scholar
Jones, D. S. 1964 The Theory of Electromagnetism. Pergamon.
Long, R. R. 1955 Some aspects of the flow of stratified fluids; III. Continuous density gradients. Tellus, 7, 341.Google Scholar
Maxworthy, T. 1970 The flow created by a sphere moving along the axis of a rotating, slightly-viscous fluid. J. Fluid Mech. 40, 453.Google Scholar
Miles, J. W. 1968 Lee waves in a stratified fluid, Part 1. Thin barrier. J. Fluid Mech. 32, 549.Google Scholar
Pritchard, W. G. 1969 The motion generated by a body moving along the axis of a uniformly rotating fluid. J. Fluid Mech. 39, 443.Google Scholar
Stewartson, K. 1956 On the steady flow past a sphere at high Reynolds number using Oseen's approximation. Phil. Mag. (8) 1, 345.
Stewartson, K. 1968 On inviscid flow of a rotating fluid past an axially symmetric body using Oseen's equations. Quart. J. Mech. Appl. Math. 21, 353.Google Scholar
Trustrum, K. 1964 Rotating and stratified fluid flow. J. Fluid Mech. 19, 415.Google Scholar
Yih, C. S. 1960 Exact solutions for steady two-dimensional flow of a stratified fluid. J. Fluid Mech. 9, 161.Google Scholar