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Baroclinic Kelvin Waves in a Rotating Circular Basin

Published online by Cambridge University Press:  29 February 2012

R. N. Ibragimov
R. N. Ibragimov*
Affiliation:
Department of Mathematics, University of Texas at Brownsville, TX 78520, USA
*
⋆Corresponding author. E-mail: ranis.ibragimov@utb.edu
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Abstract

A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular basin. Moreover, the fluid patterns look rotating in an anticlockwise sense looking above the North Pole and that spinning is more intensive for smaller mode numbers. Finally, we observe the existence of the oceanic region where the pressure increases relatively rapidly with the depth.

Keywords

internal gravity waves
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 2: Solitary waves , 2012 , pp. 38 - 51
Copyright
© EDP Sciences, 2012

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