Open Access
11 December 2005 Potential flow of a second-order fluid over a tri-axial ellipsoid
F. Viana, T. Funada, D. D. Joseph, N. Tashiro, Y. Sonoda
J. Appl. Math. 2005(4): 341-364 (11 December 2005). DOI: 10.1155/JAM.2005.341


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.


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F. Viana. T. Funada. D. D. Joseph. N. Tashiro. Y. Sonoda. "Potential flow of a second-order fluid over a tri-axial ellipsoid." J. Appl. Math. 2005 (4) 341 - 364, 11 December 2005.


Published: 11 December 2005
First available in Project Euclid: 22 December 2005

zbMATH: 1090.76007
MathSciNet: MR2204919
Digital Object Identifier: 10.1155/JAM.2005.341

Rights: Copyright © 2005 Hindawi

Vol.2005 • No. 4 • 11 December 2005
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