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: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM.2005.341 |
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| _version_ | 1849699557713117184 |
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| author | F. Viana T. Funada D. D. Joseph N. Tashiro Y. Sonoda |
| author_facet | F. Viana T. Funada D. D. Joseph N. Tashiro Y. Sonoda |
| author_sort | F. Viana |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-2f9e3ff2622e4e2ab96b3dad6960baac |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2f9e3ff2622e4e2ab96b3dad6960baac2025-08-20T03:18:33ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| 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 |