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Flow between rotating disks. Part 1. Basic flow

Published online by Cambridge University Press:  20 April 2006

A. Z. Szeri ,
S. J. Schneider ,
F. Labbe  and
H. N. Kaufman
A. Z. Szeri
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
F. Labbe
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 Development Center, Westinghouse Electric Co., Beulah Rd, Pittsburgh PA 15235
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Abstract

Laser-Doppler velocity measurements were obtained in water between finite rotating disks, with and without throughflow, in four cases: ω1 = ω2 = 0; ω2/ω1 = −1; ω2/ω1 = 0; ω2/ω1 = 1. The equilibrium flows are unique, and at mid-radius they show a high degree of independence from boundary conditions in r. With one disk rotating and the other stationary, this mid-radius ‘limiting flow’ is recognized as the Batchelor profile of infinite-disk theory. Other profiles, predicted by this theory to coexist with the Batchelor profile, were neither observed experimentally nor were they calculated numerically by the finite-disk solutions, obtained here via a Galerkin, B-spline formulation. Agreement on velocity between numerical results and experimental data is good at large values of the ratio RQ/Re, where RQ = Q/2πνs is the throughflow Reynolds number and Re = R22ω/ν is the rotational Reynolds number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 134 , September 1983 , pp. 103 - 131
Copyright
© 1983 Cambridge University Press

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