Open Access

ARTICLE

Rayleigh-Marangoni Instability of Binary Fluids with Small Lewis Number and Nano-Fluids in the Presence of the Soret Effect

A. Podolny^1,2, A. Nepomnyashchy³, A. Oron⁴

1 Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel
2 Present address (address for correspondence): Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA
3 Department of Mathematics and Minerva Center for Nonlinear Physics of Complex Systems, Technion-Israel Institute of Technology, Haifa 32000, Israel
4 Department of Mechanical Engineering, Technion- Israel Institute of Technology, Haifa 32000,Israel

Fluid Dynamics & Materials Processing 2010, 6(1), 13-40. https://doi.org/10.3970/fdmp.2010.006.013

Abstract

A general model for two-component transport phenomena applicable for both nanofluids and binary solutions is formulated. We investigate a combined long-wave Marangoni and Rayleigh instability of a quiescent state of a binary (nano-) liquid layer with a non-deformable free surface. The layer is heated from below or from above. The concentration gradient is induced due to the Soret effect. A typical behavior of monotonic and oscillatory instability boundaries is examined in the limit of asymptotically small Lewis numbers and poorly conducting boundaries in the two important long-wave domains k~Bi1/2and k~Bi1/4.

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Keywords

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