Thermocapillary migration of a deformable droplet

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Journal titleInternational Journal of Heat and Mass Transfer
Pages616626; # of pages: 11
SubjectCapillary flow; Heat convection; Surface tension; Computational uncertainties; Interfacial heat transfer; Marangoni convection; Position and orientations; Thermal boundary layer; Thermocapillary migration; Three-dimensional volume; Variable surface tension; Drops
AbstractIn the present study a parallel three dimensional Volume of Fluid (VOF) method is developed to simulate Marangoni convection in immiscible fluids with variable surface tension. Conservation equations are solved based on cell-averaged one-field volume tracking scheme. Evaluating the convective term in the energy equation along the boundary between the fluids highly depends on the position and orientation of the interface; hence, using average cell values simply ignores the interface shape and leads to computational uncertainty. As a remedy to this issue, the original idea behind the volume tracking method is used not only to advect mass and momentum but also energy across cells. To verify the proposed algorithm, results are compared against theoretically predicted thermocapillary migration velocity of a droplet at the limit of zero Marangoni number. However, at relatively high Marangoni numbers, thermal boundary layers are very thin and challenging to resolve. To demonstrate the capabilities of the heat transfer module, simulation of a Fluorinert droplet moving in silicon oil under applied temperature gradient is compared against the available experimental results and the migration velocity of the droplet in microgravity is reported.
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AffiliationNational Research Council Canada; Automotive and Surface Transportation
Peer reviewedYes
NPARC number21272927
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Record identifierb5923d21-b687-415b-9431-8f71b92c9635
Record created2014-12-03
Record modified2016-05-09
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