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Marangoni instabilities of droplets on the liquid substrate under the action of a spatial temperature modulation

Published online by Cambridge University Press:  11 February 2022

Alexander Nepomnyashchy  and
Ilya Simanovskii Open the ORCID record for Ilya Simanovskii [Opens in a new window]
Alexander Nepomnyashchy
Affiliation:
Department of Mathematics, Technion – Israel Institute of Technology, 32000 Haifa, Israel
Ilya Simanovskii*
Affiliation:
Department of Mathematics, Technion – Israel Institute of Technology, 32000 Haifa, Israel
*
†Email address for correspondence: [email protected]
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Abstract

The dynamics of a droplet on an inhomogeneously cooled liquid substrate is investigated numerically. The longwave approximation is applied. It is shown that spatial temperature modulation leads to the droplet's motion towards the region of lower temperature, which is accompanied by the change of the droplet shape. An intensive cooling from below can lead to periodic or quasiperiodic oscillations or the droplet's decomposition. A spatial temperature modulation can suppress the oscillatory instability.

JFM classification

Instability: Nonlinear instability Drops and Bubbles: Thermocapillarity Convection: Marangoni convection
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 936 , 10 April 2022 , A26
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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