Potential flow of a second-order fluid over a tri-axial ellipsoid

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...

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Bibliographic Details
Main Authors: F. Viana, T. Funada, D. D. Joseph, N. Tashiro, Y. Sonoda
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/JAM.2005.341
Description
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 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.
ISSN:1110-757X
1687-0042