Abstract
An analytical study is presented for thermocapillary migration of a fluid sphere in a constant prescribed temperature gradient parallel to an adiabatic plane. The Peclet and Reynolds numbers are assumed to be small, so that the temperature distributions and flow fields of the fluids inside and outside the droplet are governed by the Laplace and Stokes equations, respectively. A method of reflections is used to obtain the asymptotic formulas for temperature and velocity fields in the quasi-steady situation. The thermally insulated plane may be a solid wall (no-slip) and/or a free surface (perfect-slip). The boundary effect on the asymmetric thermocapillary motion of a droplet parallel to a plane is found to be weaker than that on the axisymmetric thermocapillary migration of a sphere normal to a plane with constant temperature. In comparison with the motion driven by gravitational force, the interaction between the particle and the boundary is less significant under thermocapillary migration. Even so, the ...
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