Numerical Solutions of the Navier-Stokes Equations in Inlet Regions
- 1 December 1972
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 39 (4) , 873-878
- https://doi.org/10.1115/1.3422884
Abstract
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.Keywords
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