Display Abstract

Title From Kinetic Theory to the Dynamics of Sprays

Name Francois Golse
Country France
Email golse@math.polytechnique.fr
Co-Author(s) E. Bernard, L. Desvillettes, V. Ricci
Submit Time 2014-02-28 16:20:17
Session
Special Session 65: Kinetic equations: Theory and applications
Contents
Sprays are multiphase flows in which a dispersed phase such as droplets or solid particle is mixed with a gaseous phase. An important class of models for such flows involve a Vlasov type kinetic equation for the dispersed phase, coupled to various fluid dynamic models for the gaseous phase. The coupling involves the friction force between the droplets or solid particles and the surrounding gaseous phase. The talk will present various models of this type and explain how they can be derived from the system of coupled Boltzmann equations for the binary particle system consisting of the particles in the dispersed phase and the gas molecules. The various fluid models coupled to the Vlasov equation for the dispersed phase are obtained under different scaling assumptions on the physical parameters involved.