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Free-surface stability of a damped thin-film flow

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Abstract

An idealized model is presented, describing the flow of a thin film through a dilute porous layer of immobile obstacles. Damping due to the obstacles extends the linear stability of the flow, where the depth-integrated flowrates retrieved at each order of the film expansion are expressed in terms of hyperbolic functions. Three- dimensional numerical simulations reveal a transition from steepening waves to stationary travelling waves for increasing values of the damping parameter.

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Authors and Affiliations

  1. Physics of Geological Processes, University of Oslo, P. O. Box 1048, 0316, Blindern, Oslo, Norway

    D. Molenaar

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  1. D. Molenaar
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Correspondence to D. Molenaar.

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Molenaar, D. Free-surface stability of a damped thin-film flow. J Eng Math 65, 221–228 (2009). https://doi.org/10.1007/s10665-009-9306-y

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  • DOI: https://doi.org/10.1007/s10665-009-9306-y

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