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Stability of flow over a rotating disk
Author(s) -
Szeri A. Z.,
Giron A.
Publication year - 1984
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650041007
Subject(s) - hagen–poiseuille equation , reynolds number , mathematics , vortex , discretization , curvature , galerkin method , inviscid flow , flow (mathematics) , mathematical analysis , classical mechanics , mechanics , geometry , physics , finite element method , turbulence , thermodynamics
The perturbation equations which characterize the stability of flow over a rotating infinite disk are derived via strict order of magnitude analysis. These equations contain viscous terms not considered by Stuart, 1 curvature and Coriolis terms not considered by Brown, 2 and axial velocity terms not considered by Kobayashi et al. 3 The strategy for reducing the problem to an algebraic system is Galerkin's method with B‐spline discretization. In comparison with the Poiseuille flow solutions of Orszag, 4 the method is shown to perform well without placing undue demands on computing capability. Critical values of Reynolds number, wave length, vortex orientation and number of spiral vortices calculated by the present method compare favourably with experimental data of Kobayashi et al .