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Nonlinear stability of evaporating/condensing liquid films

Published online by Cambridge University Press:  21 April 2006

J. P. Burelbach ,
S. G. Bankoff  and
S. H. Davis
J. P. Burelbach
Affiliation:
Department of Chemical Engineering, The Technological Institute, Northwestern University, Evanston, IL 60208, USA
S. G. Bankoff
Affiliation:
Department of Chemical Engineering, The Technological Institute, Northwestern University, Evanston, IL 60208, USA
S. H. Davis
Affiliation:
Department of Engineering Sciences and Applied Mathematics, The Technological Institute, Northwestern University, Evanston, IL 60208, USA
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Abstract

We consider horizontal static liquid layers on planar solid boundaries and analyse their instabilities. The layers are either evaporating, when the plates are heated, or condensing, when the plates are cooled. Vapour recoil, thermocapillary, and rupture instabilities are discussed, along with the effects of mass loss (or gain) and non-equilibrium thermodynamic effects. Particular attention is paid to the development of dryout. We derive long-wave evolution equations for the interface shapes that govern the two-dimensional nonlinear stability of the layers subject to the above coupled mechanisms. These equations are analysed and their predictions discussed. Previous theoretical and experimental results are reviewed and compared with the present results. Finally, we discuss limitations of the modelling and extend our derivation to the case of three-dimensional disturbances.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 195 , October 1988 , pp. 463 - 494
Copyright
© 1988 Cambridge University Press

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