Modeling film flows down inclined planes

C. Ruyer-Quil and P. Manneville

The European Physical Journal B: Condensed Matter and Complex Systems, 1998, vol. 6, issue 2, 277-292

Abstract: A new model of film flow down an inclined plane is derived by a method combining results of the classical long wavelength expansion to a weighted-residuals technique. It can be expressed as a set of three coupled evolution equations for three slowly varying fields, the thickness h, the flow-rate q, and a new variable Ƭ that measures the departure of the wall shear from the shear predicted by a parabolic velocity profile. Results of a preliminary study are in good agreement with theoretical asymptotic properties close to the instability threshold, laboratory experiments beyond threshold and numerical simulations of the full Navier-Stokes equations. Copyright EDP Sciences, Springer-Verlag 1998

Keywords: PACS. 47.20M Interfacial instability - 47.20K Nonlinearity (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/s100510050550

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