微尺度稀薄效应下颗粒沉降的格子Boltzmann方法模拟

doi:10.19596/j.cnki.1001-246x.7901

计算物理 ›› 2019, Vol. 36 ›› Issue (4): 395-402.DOI: 10.19596/j.cnki.1001-246x.7901

微尺度稀薄效应下颗粒沉降的格子Boltzmann方法模拟

穆知雨, 刘振宇, 吴慧英

上海交通大学机械与动力工程学院, 上海 200240

收稿日期:2018-05-22 修回日期:2018-08-20 出版日期:2019-07-25 发布日期:2019-07-25
通讯作者: 吴慧英,E-mail:whysrj@sjtu.edu.cn
作者简介:穆知雨(1993-),男,硕士研究生,主要从事多相流研究
基金资助:
国家自然科学基金（51536005，51676124，51521004）资助项目

Lattice Boltzmann Simulation of Particle Sedimentation Considering Micro-scale Gas Rarefaction Effect

MU Zhiyu, LIU Zhenyu, WU Huiying

School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2018-05-22 Revised:2018-08-20 Online:2019-07-25 Published:2019-07-25

摘要/Abstract

摘要： 基于多松弛格子Boltzmann模型，对竖直细长微通道内颗粒自由沉降过程进行模拟，分析气体稀薄效应、初始位置以及颗粒间相互作用对微颗粒沉降特性的影响.研究表明：随Knudsen数增大，微通道内气体稀薄效应增强，颗粒表面气体滑移速度增大，气相流体有效粘度减小，颗粒相同运动状态下受到气体阻力相应减小，颗粒沉降平衡速度明显增大；不同初始位置颗粒沉降过程存在明显差异，初始位置偏离中心线颗粒将发生水平方向位移且呈振荡趋势，最终稳定于中心线平衡位置；在微尺度双颗粒沉降DKT现象过程中，气体稀薄效应影响颗粒运动特性，后颗粒跟随过程明显增长.

关键词: 颗粒沉降, 稀薄效应, 滑移速度, DKT现象, 格子Boltzmann方法

Abstract: Sedimentation of micro particles in a narrow microchannel was simulated with multiple-relaxation-time lattice Boltzmann model. Influence of gas rarefaction, initial position of particle and interaction between particles on sedimentation process is analyzed. It is found that gas rarefaction effect becomes obvious with increase of Knudsen number. And the effective viscosity of gas is decreased. At the same time, slip velocity on the surface of particle increases and viscosity resistance of particle decreases, which results in an increase of particle equilibrium velocity. For different initial positions of particle, there exists a significant difference in sedimentation process. It reveals that horizontal motion of micro particle exists besides moving in the vertical direction. And the particle has oscillating tendency before stabilizing on the central position in horizontal direction. For DKT phenomenon in microscale, rarefaction effect is obvious on trajectory of particles and the drafting process is prolonged.

Key words: particle sedimentation, rarefaction effect, slip velocity, DKT, lattice Boltzmann method

中图分类号:

O359

穆知雨, 刘振宇, 吴慧英. 微尺度稀薄效应下颗粒沉降的格子Boltzmann方法模拟[J]. 计算物理, 2019, 36(4): 395-402.

MU Zhiyu, LIU Zhenyu, WU Huiying. Lattice Boltzmann Simulation of Particle Sedimentation Considering Micro-scale Gas Rarefaction Effect[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(4): 395-402.

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微尺度稀薄效应下颗粒沉降的格子Boltzmann方法模拟

Lattice Boltzmann Simulation of Particle Sedimentation Considering Micro-scale Gas Rarefaction Effect

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