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EFFECTS OF SURFACE TENSION ON TRAPPED MODES IN A TWO-LAYER FLUID

Part of: Incompressible inviscid fluids

Published online by Cambridge University Press:  02 October 2015

S. SAHA  and
S. N. BORA Open the ORCID record for S. N. BORA [Opens in a new window]
S. SAHA
Affiliation:
Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, India email [email protected], [email protected]
S. N. BORA*
Affiliation:
Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, India email [email protected], [email protected]
*
✉[email protected]
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Abstract

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We consider a two-layer fluid of finite depth with a free surface and, in particular, the surface tension at the free surface and the interface. The usual assumptions of a linearized theory are considered. The objective of this work is to analyse the effect of surface tension on trapped modes, when a horizontal circular cylinder is submerged in either of the layers of a two-layer fluid. By setting up boundary value problems for both of the layers, we find the frequencies for which trapped waves exist. Then, we numerically analyse the effect of variation of surface tension parameters on the trapped modes, and conclude that realistic changes in surface tension do not have a significant effect on the frequencies of these.

Keywords

trapped modesurface tensioncut-off frequencytwo-layer fluid

MSC classification

Primary: 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction
Secondary: 76B55: Internal waves
Type
Research Article
Information
The ANZIAM Journal , Volume 57 , Issue 2 , October 2015 , pp. 189 - 203
Copyright
© 2015 Australian Mathematical Society 

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