Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-29T18:10:54.760Z Has data issue: false hasContentIssue false
  • English
  • Français

Line singularities in unbounded stratified flow

Published online by Cambridge University Press:  29 March 2006

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

Abstract

We obtain the solutions, under the Oseen and Boussinesq approximations, for the flow field disturbance due to a line singularity in an otherwise uniform, horizontal, inviscid, incompressible flow of a vertically stratified fluid. The results obtained show no upstream influence for those singularities across which [xdtri ]2ψ + (N/U)2ψ is continuous. Doublet and vortex singularities are examples of these. Uniform flows past doublets and vortices are considered for a range of internal Froude numbers, including the calculation of the pressure distributions and drag for the doublet. An application of the vortex solution to flows in the β-plane is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 66 , Issue 3 , 25 November 1974 , pp. 455 - 464
Copyright
© 1974 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

Erdélyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1954 Tables of Integral Transforms, vol. 1. McGraw-Hill.
Janowitz, G. S. 1973 J. Fluid Mech. 58, 375.
Long, R. R. 1953 Tellus, 5, 42.
Miles, J. W. 1968 J. Fluid Mech. 33, 803.
Wong, K. K. & Kao, T. 1970 J. Atmos. Sci. 27, 884.