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

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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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
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spelling doaj-2f9e3ff2622e4e2ab96b3dad6960baac2020-11-25T01:11:32ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422005-01-012005434136410.1155/JAM.2005.341Potential flow of a second-order fluid over a tri-axial ellipsoidF. Viana0T. Funada1D. D. Joseph2N. Tashiro3Y. Sonoda4Department of Aerospace Engineering and Mechanics, University of Minnesota, 110 Union Street SE, Minneapolis 55455, MN, USADepartment of Digital Engineering, Numazu National College of Technology, 3600 Ooka, Numazu-shi, Shizuoka 410-8501, JapanDepartment of Aerospace Engineering and Mechanics, University of Minnesota, 110 Union Street SE, Minneapolis 55455, MN, USADepartment of Digital Engineering, Numazu National College of Technology, 3600 Ooka, Numazu-shi, Shizuoka 410-8501, JapanDepartment of Digital Engineering, Numazu National College of Technology, 3600 Ooka, Numazu-shi, Shizuoka 410-8501, JapanThe 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.http://dx.doi.org/10.1155/JAM.2005.341
collection DOAJ
language English
format Article
sources DOAJ
author F. Viana
T. Funada
D. D. Joseph
N. Tashiro
Y. Sonoda
spellingShingle F. Viana
T. Funada
D. D. Joseph
N. Tashiro
Y. Sonoda
Potential flow of a second-order fluid over a tri-axial ellipsoid
Journal of Applied Mathematics
author_facet F. Viana
T. Funada
D. D. Joseph
N. Tashiro
Y. Sonoda
author_sort F. Viana
title Potential flow of a second-order fluid over a tri-axial ellipsoid
title_short Potential flow of a second-order fluid over a tri-axial ellipsoid
title_full Potential flow of a second-order fluid over a tri-axial ellipsoid
title_fullStr Potential flow of a second-order fluid over a tri-axial ellipsoid
title_full_unstemmed Potential flow of a second-order fluid over a tri-axial ellipsoid
title_sort potential flow of a second-order fluid over a tri-axial ellipsoid
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2005-01-01
description 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.
url http://dx.doi.org/10.1155/JAM.2005.341
work_keys_str_mv AT fviana potentialflowofasecondorderfluidoveratriaxialellipsoid
AT tfunada potentialflowofasecondorderfluidoveratriaxialellipsoid
AT ddjoseph potentialflowofasecondorderfluidoveratriaxialellipsoid
AT ntashiro potentialflowofasecondorderfluidoveratriaxialellipsoid
AT ysonoda potentialflowofasecondorderfluidoveratriaxialellipsoid
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