Summary
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.
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References
Benjamin, T. B., Scott, J. C.: Gravity-capillary waves with edge constraints. J. Fluid Mech.92, 241–267 (1979).
Chwang, A. T.: A porous-wavemaker theory. J. Fluid Mech.132, 395–406 (1983).
Evans, D. V.: The effect of surface tension on the waves produced by a heaving circular cylinder. Proc. Camb. Phil. Soc.64, 833–847 (1968).
Jones, D. S.: Methods in electromagnetic wave propagation. p. 409. Oxford: Clarendon 1979.
Muray, J. C.: On the capillary-gravity wave-maker problem. Acta Mechanica24, 289–295 (1976).
Packham, B. A.: Capillary-gravity waves against a vertical cliff. Proc. Camb. Phil. Soc.64, 827–832 (1968).
Sneddon, I. N.: The use of integral transforms, pp. 70–75. New Delhi: Tata McGraw-Hill 1974.
Taylor, G. I.: Fluid flow in regions bounded by porous surfaces. Proc. R. Soc. Lond.A 234, 456–475 (1956).
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Chakrabarti, A. A note on the porous-wavemaker problem. Acta Mechanica 77, 121–129 (1989). https://doi.org/10.1007/BF01379747
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DOI: https://doi.org/10.1007/BF01379747