Acta Mechanica

, Volume 77, Issue 1, pp 121-129

First online:

A note on the porous-wavemaker problem

  • A. ChakrabartiAffiliated withDepartment of Applied Mathematics, Indian Institute of Science

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A complete analytical solution is obtained, by using an integral transform method, for the porous-wavemaker problem, when the effect of surface tension is taken into account on the free surface of water of finite-depth in which surface waves are produced by small horizontal oscillations of a porous vertical plate. The final results are expressed in the form of convergent integrals as well as series and known results are reproduced when surface tension is neglected.