Hostname: page-component-76fb5796d-zzh7m Total loading time: 0 Render date: 2024-04-29T11:47:05.806Z Has data issue: false hasContentIssue false
  • English
  • Français

Internal waves in a circular channel

Published online by Cambridge University Press:  29 March 2006

W. H. Yang  and
Chia-Shun Yih
W. H. Yang
Affiliation:
Department of Applied Mechanics and Engineering Science, University of Michigan, Ann Arbor
Chia-Shun Yih
Affiliation:
Department of Applied Mechanics and Engineering Science, University of Michigan, Ann Arbor
Get access Rights & Permissions [Opens in a new window]

Abstract

The frequencies of the first four sloshing internal wave modes in two superposed fluid layers contained in a circular channel are calculated for two positions of the free surface and for various ratios of the depths of the two layers. Flow patterns are given for the first four sloshing modes for the case in which the fluids occupy a semicircular space and the depth of the upper layer is one-quarter of the radius.

It is hoped that the results obtained will provide a guide for estimating the frequencies of sloshing internal wave modes in long lakes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 74 , Issue 1 , 9 March 1976 , pp. 183 - 192
Copyright
© 1976 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

Budiansky, B. 1960 Sloshing of liquids in circular canals and spherical tanks J. Aerospace Sci. 27, 161–173.Google Scholar
Forsythe, G. & Moler, C. B. 1967 Computer Solution of Linear Algebraic Systems Prentice-Hall.
Kublanovskaya, V. N. 1970 SIAM J. Numer. Anal. 7, no. 4, 1970.
Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
Yang, W. H. 1975 A method for eigenvalues of λ-matrices. University of Michigan, AMES Rep. no. 1702.Google Scholar
Yih, C.-S. 1965 Dynamics of Nonhomogeneous Fluids. Macmillan.
Yih, C.-S. 1966 Note on edge waves in a stratified fluid J. Fluid Mech. 24, 765–767.Google Scholar
Yih, C.-S. 1975 Comparison theorems for water waves in basins of variable depth. Quart. Appl. Math. To be published.Google Scholar