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Numerical solution of a separtated viscous flow problem by a non‐uniform finite‐difference net
Author(s) -
Gupta Murli M.,
Manohar Ram P.
Publication year - 1972
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620040210
Subject(s) - stagnation point , mathematics , reynolds number , boundary layer , convergence (economics) , flow (mathematics) , mechanics , finite difference , stokes flow , finite difference method , computational fluid dynamics , hele shaw flow , mathematical analysis , geometry , open channel flow , physics , heat transfer , turbulence , economics , economic growth
Abstract Two‐dimensional stagnation point flow of a viscous fluid is modified by the introduction of a thin plate placed symmetrically at the stagnation point. Separation of the boundary layer results in back flow near the plate even at small Reynolds numbers. The Navier–Stokes equations governing the flow are replaced by finite differences using unequal net spacing which is finer in the boundary layer. The choice of finite differences guarantees convergence of the iterative procedures used. Only those relaxation parameters, which are necessary to obtain convergence and also to make the method computationally efficient, have been used. Numerical results for Reynolds numbers 9, 100 and 400 are obtained.