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Numerical solutions for the time-dependent viscous flow between two rotating coaxial disks

Published online by Cambridge University Press:  28 March 2006

Carl E. Pearson
Carl E. Pearson*
Affiliation:
Sperry Rand Research Center, Sudbury, Massachusetts
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Extract

The nature of the steady-state viscous flow between two large rotating disks has often been discussed, usually qualitatively, in the literature. Using a version of the numerical method described in the preceding paper (Pearson 1965), digital computer solutions for the time-dependent case are obtained (steady-state solutions are then obtainable as limiting cases for large times). Solutions are given for impulsively started disks, and for counter-rotating disks. Of interest is the fact that, at high Reynolds numbers, the solution for the latter problem is unsymmetrical; moreover, the main body of the fluid rotates at a higher angular velocity than that of either disk.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 4 , April 1965 , pp. 623 - 633
Copyright
Copyright © Cambridge University Press 1965

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