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平面射流中纳米粒子积聚的矩方法
引用本文:于明州,林建忠,陈丽华. 平面射流中纳米粒子积聚的矩方法[J]. 应用数学和力学, 2007, 28(11): 1287-1295
作者姓名:于明州  林建忠  陈丽华
作者单位:浙江大学 力学系, 流体传动及控制国家重点实验室, 杭州 310027
摘    要:应用大涡模拟方法求解平面湍射流场,矩方法求解纳米粒子的一般动力学方程.通过对每种情况3 000个时间步的平均,得到了Schmidt数和Damkohler数对纳米粒子动力学特性的影响.结果发现, 当气体参数不变时,Schmidt数的变化只对直径小于1 nm的颗粒数密度的分布产生影响.直径小的颗粒其颗粒数密度沿流动方向下降迅速,而具有大Schmidt数的颗粒,沿横向的分布较窄.较小的颗粒容易发生积聚和扩散,并且体积增长较快,因而颗粒多分散性较为明显.小的颗粒积聚时间尺度能增强颗粒的碰撞和积聚频率,导致颗粒尺寸迅速增大.Damkohler数越大,颗粒的多分散也越明显.

关 键 词:纳米粒子   积聚   平面射流   矩方法   大涡模拟
文章编号:1000-0887(2007)11-1287-09
收稿时间:2005-11-01
修稿时间:2005-11-01

Nanoparticle Coagulation in a Planar Jet via Moment Method
YU Ming-zhou,LIN Jian-zhong,CHEN Li-hua. Nanoparticle Coagulation in a Planar Jet via Moment Method[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1287-1295
Authors:YU Ming-zhou  LIN Jian-zhong  CHEN Li-hua
Affiliation:Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China
Abstract:Large eddy simulations of nanoparticle coagulation in an incompressible planar jet were performed.The particle is described using a moment method to approximate the particle general dynamics equations.The time-averaged results based on 3 000 time steps for every case were obtained to explore the influence of the Schmidt number and the Damkohler number on the nanoparticle dynamics.The results show that the changes of Schmidt number have the influence on the number concentration of nanoparticles only when the particle diameter is less than 1nm for the fixed gas parameters.The number concentration of particles for small particles decreases more rapidly along the flow direction,and the nanoparticles with larger Schmidt number have a narrower distribution along the transverse direction.The smaller nanoparticles coagulate and disperse easily,grow rapidly hence show a stronger polydispersity.The smaller coagulation time scale can enhance the particle collision and coagulation.Frequent collision and coagulation bring a great increase in particle size.The larger the Damkohler number,the higher the particle polydispersity.
Keywords:nanoparticle  coagulation  planar jet  moment method  large eddy simulation
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