Potential flow of a second-order fluid over a triaxial ellipsoid. (English) Zbl 1090.76007

Viana, F.; Funada, T.; Joseph, D. D.; Tashiro, N.; Sonoda, Y.

J. Appl. Math. 2005, No. 4, 341-364 (2005).

Summary: 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 field are determined by harmonic potential, but the stress fields depends on viscosity and the parameters of the second-order fluid. The stress field on the surface of a triaxial ellipsoid depends strongly on the ratios of principal axes, and this stress field explains 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.

MSC:

76A10

Viscoelastic fluids

Keywords:

stress fields; harmonic potential; gas bubble