Capillary-gravity waves against a corrugated vertical cliff
Department of Applied MathematicsIndian Institute of Science
Cite this article as:
Chakrabarti, A. Appl. Sci. Res. (1988) 45: 303. doi:10.1007/BF00457064
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.