<div class="csl-bib-body">
<div class="csl-entry">Babor, L., & Kuhlmann, H. (2021). <i>Linear stability of thermocapillary convection in non-volatile sessile droplets on a heated substrate</i> [Conference Presentation]. 74th Annual Meeting of the APS Division of Fluid Dynamics (APS-DFD 2021), Phoenix, Arizona, United States of America (the).</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/154008
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dc.description.abstract
The linear stability of the incompressible steady axisymmetric thermocapillary flow in spherical sessile droplets is calculated numerically. The governing equations are discretized on Taylor-Hood finite elements using FEniCS. A combination of Newton's law of cooling and radiative heat transfer is imposed on the free surface. We compute the dependence of the critical Marangoni number on the contact angle for a range of Prandtl and convective and radiative Biot numbers. As the contact angle is increased from small values the basic flow is destabilized and the critical Marangoni number reaches a minimum. The minimum is followed by a very strong stabilization which is associated with a frequent change of the critical mode and a partial re-stabilization when the neutral curves turn backward. We find a range of intermediate contact angles where the basic flow is stable up to high Marangoni numbers. When the contact angle is increased even further, the basic flow is destabilized again.
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dc.language.iso
en
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dc.subject
thermocapillary flow
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dc.subject
hydrodynamic instability
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dc.subject
droplet
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dc.subject
linear stability
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dc.title
Linear stability of thermocapillary convection in non-volatile sessile droplets on a heated substrate