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Capillary-gravity waves against a corrugated vertical cliff

Chakrabarti, A (1988) Capillary-gravity waves against a corrugated vertical cliff. In: Applied Scientific Research, 45 (4). pp. 303-317.

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An analysis involving a transformation of the velocity potential and a Fourier Sine Transform technique is described to study the effect of surface tension on incoming surface waves against a vertical cliff with a periodic wall perturbation. Known results are recovered as particular cases of the general problem considered. An analytical expression is derived for the surface elevation, at far distances from the shore-line, by using Watson's lemma and a representative table of numerical values of the coefficients of the resulting asymptotic expansion is also presented.

Item Type: Journal Article
Publication: Applied Scientific Research
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 06 Sep 2010 09:36
Last Modified: 19 Sep 2010 06:16
URI: http://eprints.iisc.ac.in/id/eprint/32058

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