Solutions for Non-Newtonian Flow Into Elliptical Openings
Keyword(s):
A semi-analytical solution for plane velocity fields describing steady-state incompressible flow of nonlinearly viscous fluid into an elliptical opening is presented. The flow is driven by hydrostatic pressure applied at infinity. The solution is obtained by minimizing the rate of energy dissipation on a sufficiently flexible incompressible velocity field in elliptical coordinates. The medium is described by a power creep law and solutions are obtained for a range of exponents and ellipse eccentricites. The obtained solutions compare favorably with results of finite element analysis.
2013 ◽
Vol 554-557
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pp. 776-786
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Keyword(s):
2017 ◽
Vol 24
(3)
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pp. 415-422
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1999 ◽
Vol 14
(1)
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pp. 1-7
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Keyword(s):
1996 ◽
Vol 122
(2)
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pp. 178-179
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2000 ◽
Vol 40
(1)
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pp. 33-47
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Keyword(s):
2009 ◽
Vol 87-88
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pp. 518-523
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