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Axisymmetric buoyant–thermocapillary flow in sessile and hanging droplets

Published online by Cambridge University Press:  15 August 2017

Saeed Masoudi Open the ORCID record for Saeed Masoudi [Opens in a new window]  and
Hendrik C. Kuhlmann
Saeed Masoudi
Affiliation:
Institute of Fluid Mechanics and Heat Transfer, TU Wien, Getreidemarkt 9, A-1060 Vienna, Austria
Hendrik C. Kuhlmann*
Affiliation:
Institute of Fluid Mechanics and Heat Transfer, TU Wien, Getreidemarkt 9, A-1060 Vienna, Austria
*
†Email address for correspondence: [email protected]
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Abstract

The steady axisymmetric incompressible flow in a droplet sitting on or hanging from a flat plate is calculated numerically. In the limit of large mean surface tension the liquid–gas interface is spherical which allows the use of boundary-fitted toroidal coordinates. The flow is driven by thermocapillary and buoyant forces induced by a linear variation of the ambient temperature normal to the perfectly conducting wall. We present benchmark-quality results for the streamfunction and temperature fields, varying the contact angle, the thermocapillary Reynolds number, the Prandtl number, the Grashof number and the interfacial heat-transfer coefficient including the latent heat of evaporation. Scaling laws for the strength of the flow are provided for asymptotically large Marangoni numbers.

JFM classification

Drops and Bubbles: Drops and Bubbles Drops and Bubbles: Thermocapillarity
Type
Papers
Information
Journal of Fluid Mechanics , Volume 826 , 10 September 2017 , pp. 1066 - 1095
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Copyright
© 2017 Cambridge University Press 

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