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On the Added Mass of Rippled Discs
Authors:P.A. Martin
Affiliation:(1) Department of Mathematics, University of Manchester, Manchester, M13 9PL, U.K
Abstract:The problem of three-dimensional potential flow past a thin rigid screen is reduced to a hypersingular boundary integral equation. This equation is then projected onto a flat reference screen, which is taken to be a circular disc. Solutions are obtained for screens that are axisymmetric perturbations from the disc, so that the screen is rippled concentrically. The added mass is calculated for axisymmetric flow past such screens, correct to second order.
Keywords:Crack perturbations  hypersingular integral equations  potential flow  added mass
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