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A mechanism for rivulet formation in heated falling films

Published online by Cambridge University Press:  26 April 2006

S. W. Joo ,
S. H. Davis  and
S. G. Bankoff
S. W. Joo
Affiliation:
School of Mechanical Engineering, Yeungnam University, Kyongsan, Korea
S. H. Davis
Affiliation:
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA
S. G. Bankoff
Affiliation:
Department of Chemical Engineering, Northwestern University, Evanston, IL 60208, USA
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Abstract

We consider a long-wave evolution equation that governs a draining film on a heated plate and hence is capable of describing both surface-wave and thermocapillary instabilities. When the flow and heat transfer rates are moderate, we show, via weakly nonlinear analysis of a truncated system and numerical simulation of the full nonlinear evolution equation, that coupled temporal instabilities can create surface deformations that lead to an array of rivulets aligned with the flow. This work thus demonstrates a mechanism of rivulet formation based solely on instability phenomena.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 321 , 25 August 1996 , pp. 279 - 298
Copyright
© 1996 Cambridge University Press

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