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The effect of phase change on stability of convective flow in a layer of volatile liquid driven by a horizontal temperature gradient

Published online by Cambridge University Press:  12 January 2018

Roman O. Grigoriev Open the ORCID record for Roman O. Grigoriev [Opens in a new window]  and
Tongran Qin
Roman O. Grigoriev*
Affiliation:
School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0430, USA
Tongran Qin
Affiliation:
School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0430, USA
*
†Email address for correspondence: [email protected]
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Abstract

Buoyancy–thermocapillary convection in a layer of volatile liquid driven by a horizontal temperature gradient arises in a variety of situations. Recent studies have shown that the composition of the gas phase, which is typically a mixture of vapour and air, has a noticeable effect on the critical Marangoni number describing the onset of convection as well as on the observed convection pattern. Specifically, as the total pressure or, equivalently, the average concentration of air is decreased, the threshold of the instability leading to the emergence of convective rolls is found to increase rather significantly. We present a linear stability analysis of the problem which shows that this trend can be readily understood by considering the transport of heat and vapour through the gas phase. In particular, we show that transport in the gas phase has a noticeable effect even at atmospheric conditions, when phase change is greatly suppressed.

JFM classification

Instability: Absolute/convective instability Phase change: Condensation/evaporation Convection: Marangoni convection
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 838 , 10 March 2018 , pp. 248 - 283
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Copyright
© 2018 Cambridge University Press 

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