000014712 001__ 14712 000014712 005__ 20161115100159.0 000014712 04107 $$aeng 000014712 046__ $$k2016-08-21 000014712 100__ $$aMaîtrejean, Guillaume 000014712 24500 $$aKinetic theory of colloidal suspensions migration 000014712 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000014712 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000014712 506__ $$arestricted 000014712 520__ $$2eng$$aSmoluchowski kinetic equation, which governs the time evolution of the pair correlation function of rigid spherical particles suspended in a Newtonian fluid, is extended to include particle migration. The extended kinetic equation takes into account three types of forces acting on the suspended particles: a direct force generated by an interparticle potential, hydrodynamic force mediated by the host fluid, and the Fax´en-type forces bringing about the across-the-streamline particle migration. The enhanced Soluchowski model is solved numerically using the PGD method. 000014712 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000014712 653__ $$a 000014712 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000014712 720__ $$aMaîtrejean, Guillaume 000014712 8560_ $$ffischerc@itam.cas.cz 000014712 8564_ $$s65544$$uhttps://invenio.itam.cas.cz/record/14712/files/TS.FM13-2.05.pdf$$yOriginal version of the author's contribution as presented on CD, page 1350, code TS.FM13-2.05 . 000014712 962__ $$r13812 000014712 980__ $$aPAPER