Summary
By the direct application of Havelock's expansion theorem and exploitation of various properties of Bessel functions, the problem of generation of cylindrical surface waves, in the case of water of infinite depth, in the presence of an impermeable circular cylinder surrounded by a co-axial permeable cylinder immersed vertically in the fluid region, is investigated. The wave motion is generated due to the simple harmonic motion in the radial direction of the (i) inner impermeable cylinder and (ii) co-axial permeable cylinder, when one of the two cylinders is kept fixed. As an application, the problem of scattering of water waves is analyzed when both the cylinders are kept fixed.
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Sahoo, T. On the generation of water waves by cylindrical porous wave maker. Acta Mechanica 126, 231–239 (1998). https://doi.org/10.1007/BF01172810
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DOI: https://doi.org/10.1007/BF01172810