Abstract
An analytical solution and corresponding numerical results for the two-dimensional nonlinear problem of the flow past a planing flat plate with stagnation zone in the spoiler vicinity are presented. Chaplygin’s method of singular points is applied to derive the exact solution along with the elliptic-theta-functions technique used for numerical implementation. The extreme values of the hydrodynamic coefficients as functions of the length of the stagnation zone are found to correspond to the position of the separation point of the stagnation zone where the Brillouin condition of smooth detachment is satisfied.
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This paper is dedicated to the memory of Prof. Ernest O. Tuck. It was a great privilege to know him and to work with him and a great pain to know he is no longer.
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Fridman, G. Planing plate with stagnation zone in the spoiler vicinity. J Eng Math 70, 225–237 (2011). https://doi.org/10.1007/s10665-010-9399-3
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DOI: https://doi.org/10.1007/s10665-010-9399-3