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SUMMARY:A Derivation of Models for Aerosol/Spray Flows - Francois Golse\, 
 Professor of Mathematics\, Ecole Polytechnique\, France
DTSTART:20170927T150000Z
DTEND:20170927T160000Z
UID:TALK82571@talks.cam.ac.uk
CONTACT:June Rix
DESCRIPTION:This talk discusses various strategies for deriving models for
  spray flows involving a fluid dynamic equation for the propellant and a k
 inetic model for the dispersed phase.\n\nA first approach is based on the 
 homogenization of the Stokes or Navier-Stokes equation for an incompressib
 le fluid with a prescribed distribution of spherical particles assumed to 
 be far enough from each other so that the drag force on each particle is g
 iven by the Stokes formula. This leads to a rigorous derivation of the Bri
 nkman force in the Navier-Stokes or the Stokes equation.\n \nA second appr
 oach involves a coupled system of Boltzmann type equations for a binary ga
 seous mixture\, where the dispersed phase and the propellant are described
  by the methods of kinetic theory. Asymptotic regimes leading to the Vlaso
 v-Stokes and Vlasov-Navier-Stokes systems are identified.\n
LOCATION:MR2\,  Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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