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Stability of flow over a rotating disk

✍ Scribed by A. Z. Szeri; A. Giron

Publisher: John Wiley and Sons
Year: 1984
Tongue: English
Weight: 379 KB
Volume: 4
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.1650041007

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✦ Synopsis

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,' curvature and Coriolis terms not considered by Brown? and axial velocity terms not considered by Kobayashi et d 3 The strategy for reducing the problem to an algebraic system is Galerkin's method with Bspline discretization. In comparison with the Poiseuille flow solutions of Orszag? 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.

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