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Thermosolutal Marangoni instability in a viscoelastic liquid film: effect of heating from the free surface

Published online by Cambridge University Press:  22 December 2020

Rajkumar Sarma Open the ORCID record for Rajkumar Sarma [Opens in a new window]  and
Pranab Kumar Mondal Open the ORCID record for Pranab Kumar Mondal [Opens in a new window]
Rajkumar Sarma
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Assam781 039, India
Pranab Kumar Mondal*
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Assam781 039, India
*
†Email address for correspondence: [email protected]
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Abstract

We investigate the Marangoni instability in a thin polymeric liquid film heated from the free surface. The polymeric solutions are usually a binary mixture of a Newtonian solvent with a polymeric solute, and exhibit viscoelastic behaviour. In the presence of a temperature gradient, stratification of these solutes can take place via the Soret effect, giving rise to the solutocapillary effect at the free surface. Considering this cross-diffusive effect and incorporating the effects of gravity, here we analyse the stability characteristics of this polymeric film when bounded between its deformable free surface and a poorly conductive rigid substrate. Linear stability analysis around the quiescent base state reveals that, under the combined influences of thermosolutocapillarity and the elasticity of the liquid, apart from the monotonic disturbances, two different oscillatory instabilities can emerge in this system. The characteristics of each instability mode are discussed, and a complete stability picture is perceived in terms of the phase diagrams, identifying the model parameter regimes for which a particular instability mode becomes dominant.

JFM classification

Convection: Marangoni convection Interfacial Flows (free surface): Thin films Non-Newtonian Flows: Viscoelasticity
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 909 , 25 February 2021 , A12
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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