A Derivation of Models for Aerosol/Spray Flows

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• Francois Golse, Professor of Mathematics, Ecole Polytechnique, France
• Wednesday 27 September 2017, 16:00-17:00
• MR2, Centre for Mathematical Sciences, Wilberforce Road, Cambridge.

If you have a question about this talk, please contact June Rix.

Refreshments will be available after the Seminar in Central Core at 17.00 hrs

This talk discusses various strategies for deriving models for spray flows involving a fluid dynamic equation for the propellant and a kinetic model for the dispersed phase.

A first approach is based on the homogenization of the Stokes or Navier-Stokes equation for an incompressible 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 given by the Stokes formula. This leads to a rigorous derivation of the Brinkman force in the Navier-Stokes or the Stokes equation.

A second approach involves a coupled system of Boltzmann type equations for a binary gaseous mixture, where the dispersed phase and the propellant are described by the methods of kinetic theory. Asymptotic regimes leading to the Vlasov-Stokes and Vlasov-Navier-Stokes systems are identified.

This talk is part of the CMS Special Lectures series.

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