000014635 001__ 14635 000014635 005__ 20161115100157.0 000014635 04107 $$aeng 000014635 046__ $$k2016-08-21 000014635 100__ $$aStone, Howard 000014635 24500 $$aHydrodynamics of a hot particle in a viscous fluid 000014635 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000014635 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000014635 506__ $$arestricted 000014635 520__ $$2eng$$aWe 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. 000014635 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000014635 653__ $$a 000014635 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000014635 720__ $$aStone, Howard 000014635 8560_ $$ffischerc@itam.cas.cz 000014635 8564_ $$s67142$$uhttps://invenio.itam.cas.cz/record/14635/files/TS.FM10-1.01.pdf$$yOriginal version of the author's contribution as presented on CD, page 1140, code TS.FM10-1.01 . 000014635 962__ $$r13812 000014635 980__ $$aPAPER