Fluid-Film Flows of Differential Fluids of Complexity n Dimensional Approach—Applications to Lubrication Theory

[+] Author and Article Information
Patrick Bourgin

Laboratoire de Mécanique des Contacts, Institut National des Sciences Appliquées de Lyon, 69621 Villeurbanne Cedex France

J. of Lubrication Tech 101(2), 140-144 (Apr 01, 1979) (5 pages) doi:10.1115/1.3453294 History: Received May 22, 1978; Revised October 01, 1978; Online October 20, 2010


An isothermal theory of fluid-film flows of differential fluids of complexity n is developed on the basis of a complete dimensional analysis. Within that particular geometrical configuration and provided that the Deborah number is small, such fluids cannot be distinguished from the far more special Rivlin-Ericksen material of complexity 3. It is shown afterwards that the use of a method of resolution similar to that of Reynolds requires to reduce the field of rheological models or the number of geometrical dimensions. The corresponding “generalized Reynolds’ equations” are then deduced: one in 3 dimensions, available for general viscous fluids; one in 2 dimensions, available for Stokesian fluids.

Copyright © 1979 by ASME
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