Hydrodynamics of a hot particle in a viscous fluid

Abstract eng:
We study the motion of a hot particle in a viscous liquid at low Reynolds numbers. The calculation is inspired by experiments of laser heating of Brownian particles. The difference in temperature between the particle and the fluid causes a spatial variation of the viscosity. We derive formulae for the force and the torque on the particle by exploiting the reciprocal theorem. For small viscosity variations, a perturbation analysis provides the leading-order correction to the hydrodynamic force and torque. The results are applied to describe dynamics of a uniformly hot spherical particle and to spherical particles with non-uniform surface temperature distributions.

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