Stability analysis of gravity driven shear flows with free surface for power-law fluids |
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| Authors: | Y A Berezin K Hutter L A Spodareva |
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| Institution: | (1) Institut für Mechanik, Technische Hochschule Darmstadt, D-64289 Darmstadt, Germany, DE;(2) Institute of Theoretical and Applied Mechanics, 630090 Novosibirsk, Russia, RU |
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| Abstract: | Summary We study the stability of thin films of fluids subject to gravity along inclined planes, obeying a power-law constitutive
relation of the Ostwald-de Waele type. A first analysis, in which the inertia terms are ignored, shows such flow to be stable
against small, linear perturbations; a second analysis, in which the inertia terms are included, proves that there are stable
and unstable regimes that are separated by a critical Ostwald-de Waele number O. Numerical computations for selected values
of O demonstrate the decay and growth rate behavior of some finite amplitude disturbances.
Received 12 May 1997; accepted for publication 23 July 1997 |
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| Keywords: | Shear flow thin film linear instability power-law fluid slow/rapid flow |
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