Formulation of a Generalized Narrow Groove Theory for Spiral Grooved Viscous Pumps

[+] Author and Article Information
F. C. Hsing

Mechanical Technology Inc., Latham, N. Y.

J. of Lubrication Tech 94(1), 81-85 (Jan 01, 1972) (5 pages) doi:10.1115/1.3451640 History: Received August 20, 1970; Revised April 01, 1971; Online October 18, 2010


The well-established narrow groove theory for spiral groove gas bearings [1] has been generalized to include the effects of rarefied gas and turbulence. The slip flow effect was considered locally depending upon gaseous density and molecular mean free path [2] while the local turbulence effect was introduced by a set of viscosity modification functions [3, 4]. For transition flow, the concept of “mean” local Reynolds number may be adapted [5]. The fundamental governing equation was derived in terms of a generalized coordinate for bodies of rotational symmetry and valid for both incompressible and compressible bearings or seals.

Copyright © 1972 by ASME
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