Transient behavior of the thermocapillary migration of drops under the influence of deformation

Details Transient behavior of the thermocapillary migration of drops under the influence of deformation Transient behavior of the thermocapillary migration of drops under the influence of deformation

2011-07-04

arxiv.org/abs/1107.0519v2

Physics

Fluid Dynamics

18 pages, 14 figures. The Chinese version of this paper has been accepted by "Scientia Sinica: Physica, Mechanica & Astronomic

Scientific paper

10.1360/132011-653

The transient thermocapillary migration of drops with nontrivial deformation is studied. The finite difference method is employed to solve the incompressible Navier-Stokes equations coupled with the energy equation; the front-tracking method is adopted to track the moving deformable drop interface. In the hot region, deformations of drops increase with the decrease of interfacial tensions. In order to indicate the temperature impact on the interfacial tension, a local capillary number ($Ca_l$) is introduced. It is found that, when the drop density is smaller/larger than that of the bulk fluid, the drop velocity decreases/increases with the increase of the drop deformation.

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