FM14L_10642:Tue:1100:315
XXI International Congress of Theoretical and Applied Mechanics
Warsaw, Poland, August 15-21, 2004

Effect of Bottom Undulations on the Stability of Film Flow Down Inclined Planes

Nuri Aksel, Andreas Wierschem
LS Technische Mechanik und Stromungsmechanik, University of Bayreuth, Bayreuth, Germany


We study the effect of bottom undulations on the stability of a stationary film flow down inclined planes. Allowing for rather moderate bottom variations, we carry out a linear stabil-ity analysis and show how the wavy bottom affects the instability. Contrary to results for weakly undulated bottoms described in literature, where the instability is identical to that over a flat incline, we obtain an increase of the critical Reynolds number and a smaller un-stable frequency spectrum with respect to the flat bottom in accordance with experimental observations.



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