Applied Scientific Research

, Volume 45, Issue 4, pp 303–317 | Cite as

Capillary-gravity waves against a corrugated vertical cliff

  • A. Chakrabarti


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.


Fourier Surface Tension Sine Surface Wave Asymptotic Expansion 
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Copyright information

© Kluwer Academic Publishers 1988

Authors and Affiliations

  • A. Chakrabarti
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

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