Numerical Solutions of the Navier-Stokes Equations in Inlet Regions
Keyword(s):
Numerical solutions of the Navier-Stokes equations are obtained for steady two-dimensional flow in the inlet region of both a tube and a channel. The entering flow is considered to be either uniform (u = constant, v = 0) or irrotational (u = constant, ω = 0). Values of Reynolds number Re = u0a/ν range from 0.75 to 2 × 106. An improved method for solving the stream function-vorticity equations of hydrodynamics has been developed. The method is stable at all Reynolds numbers and appears to be computationally superior to previous methods.
Keyword(s):
Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
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1992 ◽
Vol 340
(1656)
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pp. 1-45
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1998 ◽
Vol 363
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pp. 199-228
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1972 ◽
Vol 56
(1)
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pp. 49-59
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2005 ◽
Vol 363
(1830)
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pp. 1189-1198
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2017 ◽
Vol 64
(3-4)
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pp. 141-154
2009 ◽