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Exact solutions for steady two-dimensional flow of a stratified fluid

Published online by Cambridge University Press:  28 March 2006

Chia-Shun Yih
Chia-Shun Yih
Affiliation:
Department of Engineering Mechanics, University of Michigan
At Department of Applied Mathematics and Theoretical Physics, University of Cambridged, during 1959–60.
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Abstract

Three classes of exact solutions for steady two-dimensional flows of a stratified fluid are found. The flows which correspond to these solutions have arbitrary amplitude (however defined). Two of the three classes of solutions have close bearings on the lee-wave problem in meteorology. It is also shown that the amplitudes of the lee-wave components (if there is more than one component) depend not on the details of the shape of the barrier, but only on certain simple integral properties of the function for the singularity distribution generating the barrier.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 9 , Issue 2 , October 1960 , pp. 161 - 174
Copyright
© 1960 Cambridge University Press

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References

Long, R. R. 1953 Some aspects of the flow of stratified fluids. I. A theoretical investigation. Tellus, 5, 42–57.Google Scholar
Long, R. R. 1955 Some aspects of the flow of stratified fluids. III. Continuous density gradients. Tellus, 7, 342–57.Google Scholar
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Yih, C.-S. 1960 Gravity waves in a stratified fluid. J. Fluid Mech. 8, 481–508.Google Scholar