The problem of potential flow of a second-order fluid around an ellipsoid is
solved, and the flow and stress fields are computed. The flow fields are determined by the harmonic
potential but the stress fields depend on viscosity and the parameters of
the second-order fluid. The stress fields on the surface of a tri-axial
ellipsoid depend strongly on the ratios of principal axes and are such as to
suggest the formation of gas bubble with a round flat nose and
two-dimensional cusped trailing edge. A thin flat trailing edge gives rise
to a large stress which makes the thin trailing edge thinner.