Thermocapillary effects on eccentric compound drops in Poiseuille flows

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dc.contributor.author Jadhav, Sayali N.
dc.contributor.author Ghosh, Uddipta
dc.coverage.spatial United States of America
dc.date.accessioned 2012-09-26T07:22:32Z
dc.date.available 2012-09-26T07:22:32Z
dc.date.issued 2021-06
dc.identifier.citation Jadhav, Sayali N. and Ghosh, Uddipta, "Thermocapillary effects on eccentric compound drops in Poiseuille flows", Physical Review Fluids, DOI: 10.1103/PhysRevFluids.6.073602, vol. 6, no. 7, Jul. 2021. en_US
dc.identifier.issn 2469-990X
dc.identifier.uri https://doi.org/10.1103/PhysRevFluids.6.073602
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/6678
dc.description.abstract The dynamics of a neutrally buoyant, eccentric compound drop, suspended in a Poiseuille flow, in the presence of an external temperature gradient have been analyzed here. Assuming the energy and momentum transport to be diffusion-dominated, we derive approximate analytical solutions for the temperature and the velocity fields and subsequently deduce the deformation using asymptotic analysis in bispherical coordinates. We establish that depending on the direction, the presence of an imposed temperature gradient may speed up or slow down the drops. The temperature gradient has a stronger influence on the velocity of the inner drop at different eccentricities, which in turn alters the relative velocity between the drops. As a result, it is possible to achieve equilibrium configurations, where both the drops move with the same velocity. Two such equilibrium configurations exist for temperature gradients beyond a critical limit, one of which is stable. It is revealed that the imposed temperature gradient always increases the deformation as compared to an isothermal flow. Depending on the position of the inner core with respect to the outer drop center and the direction of the applied temperature gradient, the shape of the inner drop may change from prolate to oblate (or vice versa), as it travels within the outer drop. The deformation in the inner drop increases with eccentricity, while the outer drop sees very little deformation even for relatively large capillary numbers.
dc.description.statementofresponsibility by Sayali N. Jadhav and Uddipta Ghosh
dc.format.extent vol. 6, no. 7
dc.language.iso en_US en_US
dc.publisher American Physical Society en_US
dc.title Thermocapillary effects on eccentric compound drops in Poiseuille flows en_US
dc.type Article en_US
dc.relation.journal Physical Review Fluids


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