Derivation of a segregation-mixing equation for particles in a fluid medium

作     者：Donald O. Besong 

作者机构：Department of Numerical Analysis and Computer Science (NADA)Royal Institute of TechnologyS-10044 StockholmSweden 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2009年第30卷第6期

页      面：765-770页

核心收录：

学科分类：080704[工学-流体机械及工程] 08[工学] 0807[工学-动力工程及工程热物理] 

主　　题：gravity segregation Kynch batch flux first-principles derivation Burger-type equation 

摘      要：The main purpose of this work is to show that the gravity term of the segregation-mixing equation of fine mono-disperse particles in a fluid can be derived from first-principles （i.e., elementary physics）. Our derivation of the gravity-driven flux of particles leads to the simplest case of the Richardson and Zaki correlation. Stokes velocity also naturally appears from the physical parameters of the particles and fluid by means of derivation only. This derivation from first-principle physics has never been presented before. It is applicable in small concentrations of fine particles.