平成27年度第8回講演会（日本航空宇宙学会関西支部分科会）
＊＊ ミニコースレクチャー ＊＊
| 日時： | 平成28年2月4日（木）－5日（金） 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) |
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| 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. |