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Instabilities in gravity driven flow of thin fluid films. (English) Zbl 1127.76313

Summary: This paper presents theoretical, computational, and experimental aspects of the instability development in the flow of thin fluid films. The theoretical part involves basic fluid mechanics and presents derivation of the thin film equation using lubrication approximation. A simplified version of this equation is then analyzed analytically using linear stability analysis, and also numerically. The results are then compared directly to experiments. The experimental part outlines the setup, as well as data acquisition and analysis. This immediate comparison to experiments is very useful for gaining better insight into the interpretation of various theoretical and computational results.

MSC:

76A20 Thin fluid films
35K35 Initial-boundary value problems for higher-order parabolic equations
35Q35 PDEs in connection with fluid mechanics
76D08 Lubrication theory
76E17 Interfacial stability and instability in hydrodynamic stability
76M20 Finite difference methods applied to problems in fluid mechanics
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