Effects of surface tension on trapped modes in a two-layer fluid

Sunanda Saha, Swaroop Nandan BORA


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.



trapped mode; surface tension; cut-off frequency; two-layer fluid

DOI: http://dx.doi.org/10.21914/anziamj.v57i0.8692

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.