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RESEARCH PAPERS

An Asymptotic Solution for the Laminar Flow of a Thin Film on a Rotating Disk

[+] Author and Article Information
J. W. Rauscher

Department of Energy and Kinetics, School of Engineering and Applied Science, University of California, Los Angeles, Los Angeles, Calif.

R. E. Kelly, J. D. Cole

Department of Mechanics and Structures, School of Engineering and Applied Science, University of California, Los Angeles, Los Angeles, Calif.

J. Appl. Mech 40(1), 43-47 (Mar 01, 1973) (5 pages) doi:10.1115/1.3422970 History: Received November 01, 1971; Revised February 01, 1972; Online July 12, 2010

Abstract

An analysis on the basis of the Navier-Stokes equations is made of the flow of a liquid in a thin film on a rotating disk. Fluid flows outward in the radial direction due to the centrifugal force. An asymptotic solution valid for small values of the Rossby number is presented. Higher-order terms correcting for the effects of convection, Coriolis acceleration, radial diffusion, surface curvature, and surface tension are found and discussed on a physical basis.

Copyright © 1973 by ASME
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