Abstract
Analytical solutions for an inviscid, incompressible, axisymmetric shear flow over a sphere are established. It is determined that if the shear is sufficiently large with respect to the axis velocity then a recirculating stagnation region is formed. Solutions for prolate and oblate spheroids exhibit the same flowfield characteristics as for the sphere. Stagnation bubble formation is delayed on the prolate spheroids and promoted on the oblate spheroids. These results are related to those for the two-dimensional shear flow over cylinders analyzed by Tsien (1943) and Fraenkel (1961).
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