The problem of incompressible potential flow about a prolate spheroid in axial motion parallel to a plane wall is considered and a solution free of any approximations, although not in closed form, is obtained. The added-mass coefficient for this motion is evaluated and the results are compared with an existing approximate solution. The expansion of harmonic functions of the form exp(αx +βy +γz) in a series of spheroidal harmonics, needed in the solution of the preceding problem and useful in general in the analysis of problems in potential theory in which spheroidal boundaries appear, is obtained.
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September 01 1971
On the Flow About a Spheroid Near a Plane Wall
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Farell, Cesar. "On the Flow About a Spheroid Near a Plane Wall." J Ship Res 15 (1971): 246–252. doi: https://doi.org/10.5957/jsr.1922.214.171.124
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