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Computation of the flow between two rotating coaxial disks: multiplicity of steady-state solutions

Published online by Cambridge University Press:  20 April 2006

M. Holodniok ,
M. Kubí[cscr ]ek  and
V. Hlavá[cscr ]ek
M. Holodniok
Affiliation:
Department of Chemical Engineering, Prague Institute of Chemical Technology, 16628 Praha 6, Czechoslovakia
M. Kubí[cscr ]ek
Affiliation:
Department of Chemical Engineering, Prague Institute of Chemical Technology, 16628 Praha 6, Czechoslovakia
V. Hlavá[cscr ]ek
Affiliation:
Department of Chemical Engineering, Prague Institute of Chemical Technology, 16628 Praha 6, Czechoslovakia
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Abstract

A numerical investigation of the problem of rotating disks is made using the Newton-Raphson and continuation methods. The numerical analysis of the problem was performed for a sequence of values of the Reynolds number R and the ratio of angular velocities of both disks s. It was shown that for higher values of the Reynolds number it is necessary to use a large number of grid points. Continuation of the solution with respect to the parameter s indicated that a number of branches may exist. A detailed discussion for three selected values of s (s = -1, s = 0, s = 1) is presented together with a detailed comparison of our calculations with results already published in the literature.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 108 , July 1981 , pp. 227 - 240
Copyright
© 1981 Cambridge University Press

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