Stochastic formulation of particle kinetics in wall-bounded two-phase flows | |
MA HongBo ; FU XuDong ; MA HongBo ; FU XuDong | |
2016-03-30 ; 2016-03-30 | |
关键词 | stochastic formulation Kramers equation reflected Brownian motion wall-bounded flow two-phase flow concentration profile O359 |
其他题名 | Stochastic formulation of particle kinetics in wall-bounded two-phase flows |
中文摘要 | This paper presents a generalized framework of stochastic modeling for particle kinetics in wall-bounded flow.We 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 PDF.Three distinguishable mechanisms were identified to affect the profile of particle probability distribution:external forces,turbophoresis effect,and wall-drift effect.The 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 times.Moreover,it successfully reproduces the two patterns of particle concentration profiles observed in experiments of sediment-laden open-channel flows.The strength of the wall-drift effect was found to be connected with the interaction frequency between particle and wall.Further exploration of the relationship among flow turbulence,particle inertia,and particle concentration is worthwhile.; This paper presents a generalized framework of stochastic modeling for particle kinetics in wall-bounded flow. We 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 PDF. Three distinguishable mechanisms were identified to affect the profile of particle probability distribution: external forces, turbophoresis effect, and wall-drift effect. The 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 times. Moreover, it successfully reproduces the two patterns of particle concentration profiles observed in experiments of sediment-laden open-channel flows. The strength of the wall-drift effect was found to be connected with the interaction frequency between particle and wall. Further exploration of the relationship among flow turbulence, particle inertia, and particle concentration is worthwhile. |
语种 | 英语 ; 英语 |
内容类型 | 期刊论文 |
源URL | [http://ir.lib.tsinghua.edu.cn/ir/item.do?handle=123456789/144952] |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | MA HongBo,FU XuDong,MA HongBo,et al. Stochastic formulation of particle kinetics in wall-bounded two-phase flows[J],2016, 2016. |
APA | MA HongBo,FU XuDong,MA HongBo,&FU XuDong.(2016).Stochastic formulation of particle kinetics in wall-bounded two-phase flows.. |
MLA | MA HongBo,et al."Stochastic formulation of particle kinetics in wall-bounded two-phase flows".(2016). |
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