二维方腔热对流系统中纳米颗粒混合及凝并特性的数值模拟  

NUMERICAL SIMULATION OF BROWNIAN COAGULATION AND MIXING OF NANOPARTICLES IN 2D RAYLEIGH-BéNARD CONVECTION

作　　者：徐飞彬 周全[1] 卢志明[1] 

机构地区：[1]上海市应用数学和力学研究所,上海200072

出　　处：《力学学报》2015年第5期740-750,共11页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金资助项目(11272196;11332006)~~

摘　　要：采用泰勒展开矩方法对二维瑞利-贝纳德热对流系统(1×106 Ra 1×108)中纳米颗粒群的混合和凝并特性进行了数值模拟.结果显示颗粒群随时间演化经历了扩散阶段、混合阶段、充分混合阶段3个阶段,随着颗粒群混合和凝并的进行,颗粒数目浓度减少,颗粒群的平均体积增大;得到了颗粒分布函数各特征量与温度相关系数以及各特征量的空间分布标准偏差在3个阶段的不同特征;得到了颗粒分布函数各阶矩以及平均体积长时间演化的渐近行为,结果与零维渐近解析解一致.最后,本文进一步研究了无量纲数(包括瑞利数Ra,斯密特数S cM,达姆科勒数Da)对颗粒群达到自保持分布时间的影响,发现该时间随着Ra和S cM的增大呈对数率减小,随着Da的增大呈线性增大.In the present simulations, the first three moments of the particle size distribution of nanoparticles in a two dimensional Rayleigh-Benard convection system are calculated with the combination of SIMPLE algorithm and the Tayler-series expansion method of moments （TEMOM） to probe into Brownian coagulation and mixing of nanoparticles. Driven by Brownian coagulation, diffusion and thermal convection, the number concentration of nanoparficles decreases, while the average volume increase generally as time goes on. The temporal evolution of nanoparticles can be divided into three stages, named the diffusion stage, the mixing stage and the fully mixing stage respectively. The correlation coef- ficients between moments of nanoparticles and the temperature, and relative standard deviation of moments experience distinct characteristics in three stages. The long-time behavior for moments of nanoparticles is obtained and is in good agreement with the asymptotic solution. Finally, the time to attain such an asymptotic solution is investigated and its dependence on Ra, S CM and Da is also determined numerically. The results show that the time decreases logarithmically when Ra and S CM increase, while it increases linearly when Da increases.

关 键 词：泰勒展开矩方法 纳米颗粒 瑞利-贝纳德热对流 混合 凝并 数值模拟 

分 类 号：O359.1[理学—流体力学]