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Thermally driven Marangoni surfers

Published online by Cambridge University Press:  09 July 2014

Alois Würger
Alois Würger*
Affiliation:
Laboratoire Ondes et Matière d’Aquitaine, CNRS – Université de Bordeaux, 351 Cours de la Libération, 33405 Talence, France
*
†Email address for correspondence: a.wuerger@loma.u-bordeaux1.fr
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Abstract

We study autopropulsion of an interface particle that is driven by the Marangoni stress arising from a self-generated asymmetric temperature or concentration field. We calculate separately the long-range Marangoni flow $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}{\boldsymbol {v}}^{I}$ due to the stress discontinuity at the interface and the short-range velocity field ${\boldsymbol {v}}^{P}$ imposed by the no-slip condition on the particle surface. Both contributions are evaluated for a spherical floater with temperature monopole and dipole moments. We find that the self-propulsion velocity is given by the amplitude of the ‘source doublet’ that belongs to the short-range contribution ${\boldsymbol {v}}^{P}$. Hydrodynamic interactions, on the other hand, are determined by the long-range Marangoni flow ${\boldsymbol {v}}^{I}$. Its dipolar part results in an asymmetric advection pattern of neighbouring particles, which in turn may perturb the known hexatic lattice or even favour disordered states.

JFM classification

Interfacial Flows (free surface): Capillary flows Complex Fluids: Colloids Drops and Bubbles: Thermocapillarity
Type
Papers
Information
Journal of Fluid Mechanics , Volume 752 , 10 August 2014 , pp. 589 - 601
Copyright
© 2014 Cambridge University Press 

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