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Flow between rotating disks. Part 2. Stability

Published online by Cambridge University Press:  20 April 2006

A. Z. Szeri ,
A. Giron ,
S. J. Schneider  and
H. N. Kaufman
A. Z. Szeri
Affiliation:
Department of Mechanical Engineering, The University of Pittsburgh, Pittsburgh, PA 15261
A. Giron
Affiliation:
Department of Mechanical Engineering, The University of Pittsburgh, Pittsburgh, PA 15261
S. J. Schneider
Affiliation:
Department of Mechanical Engineering, The University of Pittsburgh, Pittsburgh, PA 15261
H. N. Kaufman
Affiliation:
Department of Mechanical Engineering, The University of Pittsburgh, Pittsburgh, PA 15261 Research and Department Center, Westinghouse Electric Co., Beulah Rd, Pittsburgh PA 15235
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Abstract

Infinite-disk flows appear to possess multiple solutions at E−1 = 275 (Holodniok, Kubicek & Hlavacek 1977), where E = ν/s2ω is the Ekman number. One of these solutions exhibits characteristics of Couette flow and is stable in the circular domain 0 < r/s < 50. The other two solutions, both Poiseuille-type flows, are unstable at all positions. The stable solution shows strong resemblance to experimental profiles obtained between finite disks. Stability of finite-disk flows is investigated in two cases: (i) one disk rotating and the other stationary, and (ii) counter-rotating disks. Photographs indicate presence of two instability types. Theoretical calculations are in fair agreement with experimental evidence on instability of type I.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 134 , September 1983 , pp. 133 - 154
Copyright
© 1983 Cambridge University Press

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