＊＊ ミニコースレクチャー ＊＊
PART1 2月4日（木） 16:30-17:30
PART2 2月5日（金） 14:45-15:45
|場所：||京都大学 桂キャンパスCクラスタ総合研究棟III（C3棟） 3階 b3n03室（航空宇宙工学専攻会議室）|
|講演：||Derivation of models for aerosol/spray flows|
|Prof. François Golse
(Centre de mathématiques Laurent Schwartz, Ecole Polytechnique, France)
|要旨：||This mini-course presents a strategy based on the kinetic theory of gases for deriving models for spray flows involving a fluid dynamical equation for the propellant and a kinetic model for the dispersed phase. The starting point is 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.
The key idea is that dust particles or droplets in a spray are much heavier than gas molecules, so that the effect of a collision between any such particle and a gas molecule results in a small deflection angle in the trajectory of the particle. Therefore, we identify a grazing collision regime for the dispersed phase, which can be adequately described by a Vlasov type equation. Various models for the interaction between the gas molecules and the particles in the dispersed phase are discussed.