The Hydrodynamic Stability of Two Viscous Incompressible Fluids in Parallel Uniform Shearing Motion

[+] Author and Article Information
D. T. Tsahalis

Shell Development Company, A Division of Shell Oil Co., Westhoflow Research Center, P. O. Box 1380, Houston, Texas 77001

J. Appl. Mech 46(3), 499-504 (Sep 01, 1979) (6 pages) doi:10.1115/1.3424595 History: Received April 01, 1978; Revised December 01, 1978; Online July 12, 2010


The stability problem of a thin film of a viscous incompressible fluid bounded on one side by another more viscous and less dense incompressible fluid of semi-infinite extent and on the other side by a fixed wall, where both fluids are in steady motion parallel to their interface and each fluid has a linear velocity profile, is solved for large values of the Reynolds number and small values of the viscosity ratio. Neutral stability curves of the Reynolds number versus the wave number are presented, parametrized with either the density ratio or the viscosity ratio as the family parameters.

Copyright © 1979 by ASME
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