A three-dimensional boundary-integral algorithm for thermocapillary motion of deformable drops

Michael A. Rother, Alexander Z. Zinchenko, Robert H. Davis

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

A three-dimensional boundary-integral algorithm has been developed to handle the tangential Marangoni stresses in thermocapillary motion of drops. Depending on whether the integration and observation points are on the same or different drops, singularity or near-singularity subtraction is used in the inhomogeneous term of the boundary-integral formulation. Integration is then performed analytically over flat triangles in the subtracted region. Relative trajectories for two deformable drops are calculated for different values of the drop size ratio, drop-to-medium thermal conductivity ratio, and viscosity ratio and compared to those for spherical and slightly deformable drops. Results indicate that deformation increases the minimum separation and inhibits coalescence but is not important enough for appropriate physical parameters to induce the capture or breakup behaviors observed in buoyancy. Interaction times calculated by artificially continuing spherical drop trajectories yield results accurate to within about 10%.

Original languageEnglish (US)
Pages (from-to)356-364
Number of pages9
JournalJournal of Colloid and Interface Science
Volume245
Issue number2
DOIs
StatePublished - Jan 1 2002

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Trajectories
Buoyancy
Coalescence
Thermal conductivity
Viscosity

Keywords

  • Deformation
  • Drops
  • Marangoni motion
  • Thermocapillary motion

Cite this

A three-dimensional boundary-integral algorithm for thermocapillary motion of deformable drops. / Rother, Michael A.; Zinchenko, Alexander Z.; Davis, Robert H.

In: Journal of Colloid and Interface Science, Vol. 245, No. 2, 01.01.2002, p. 356-364.

Research output: Contribution to journalArticle

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