Free-surface stability of a damped thin-film flow

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...

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Veröffentlicht in:	Journal of engineering mathematics 2009-11, Vol.65 (3), p.221-228
1. Verfasser:	Molenaar, D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Computational Mathematics and Numerical Analysis Computer simulation Damping Hyperbolic functions Mathematical and Computational Engineering Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Obstacles Stability Theoretical and Applied Mechanics Thin films Traveling waves
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Beschreibung
Zusammenfassung:	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.
ISSN:	0022-0833 1573-2703
DOI:	10.1007/s10665-009-9306-y