Stochastic formulation of particle kinetics in wall-bounded two-phase flows

作     者：MA HongBo FU XuDong 

作者机构：State Key Laboratory of Hydroscience and Engineering Department of Hydraulic Engineering Tsinghua University 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2014年第57卷第10期

页      面：2001-2011页

核心收录：

学科分类：0810[工学-信息与通信工程] 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] 0805[工学-材料科学与工程（可授工学、理学学位）] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.51379100 and 51039003) 

主　　题：stochastic formulation Kramers equation reflected Brownian motion wall-bounded flow two-phase flow concentration profile 

摘      要：This paper presents a generalized framework of stochastic modeling for particle kinetics in wall-bounded *** modified a reflected Brownian motion process and straightforwardly obtained a Kramers equation for particle probability density function(PDF).After the wall effects were accounted for as a drift from zero in the mean displacement and suppression in the diffusivity of a particle,an analytical solution was worked out for *** distinguishable mechanisms were identified to affect the profile of particle probability distribution:external forces,turbophoresis effect,and wall-drift *** proposed formulation covers the Huang et al.(2009)model of a wall that produces electrostatic repulsion force and van der Waals force,as well as Monte-Carlo solutions for the Peter and Barenbrug(2002)model under a variety of relaxation ***,it successfully reproduces the two patterns of particle concentration profiles observed in experiments of sediment-laden open-channel *** strength of the wall-drift effect was found to be connected with the interaction frequency between particle and *** exploration of the relationship among flow turbulence,particle inertia,and particle concentration is worthwhile.