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Lee waves in a stratified flow. Part 2. Semi-circular obstacle

Appendix

Published online by Cambridge University Press:  28 March 2006

John W. Miles  and
Herbert E. Huppert
John W. Miles
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla Also Department of Aerospace and Mechanical Engineering Sciences.
Herbert E. Huppert
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, La Jolla
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Abstract

A two-dimensional, semi-infinite, stratified shear flow in which the upstream dynamic pressure and density gradient are constant (Long's model) is considered. A complete set of lee-wave functions, each of which satisfies the condition of no upstream reflexion, is determined in polar co-ordinates. These functions are used to determine the lee-wave field produced by, and the consequent drag on, a semicircular obstacle as functions of the Froude number within the range of stable flow. The Green's function (point-source solution) for the half-space also is determined in polar co-ordinates.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 4 , 23 September 1968 , pp. 803 - 814
Copyright
© 1968 Cambridge University Press

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