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利用Monte Carlo方法求解粒数衡算方程分析影响气泡分布的各种因素
引用本文:马志杰,宋海华,张敏卿. 利用Monte Carlo方法求解粒数衡算方程分析影响气泡分布的各种因素[J]. 化学工程, 2003, 31(3): 12-16
作者姓名:马志杰  宋海华  张敏卿
作者单位:1. 纽布朗斯维克大学,纽雷德里克顿,加拿大,E3B 5A3
2. 天津大学,化学工程研究所,天津,300072
摘    要:精馏塔板上气泡尺寸分布是计算精馏塔板效率以及设计和操作精馏塔的关键参数 ,为了对它进行更好的预测 ,文中以Kolmogoroff各向同性湍流理论为基础并结合概率理论 ,利用计算机图形处理技术对气泡的聚并和破裂现象进行观察研究 ,分析气泡的聚并和破裂机理 ,采用MonteCarlo模拟技术求解粒数衡算方程 ,对影响精馏塔板上气泡尺寸分布的各种因素进行研究分析。求解结果与实验数据相吻合并显示气泡尺寸分布为对数正态分布 ,这与其他研究者的结论相一致

关 键 词:Monte Carlo方法  粒数衡算方程  破裂  聚并
文章编号:1005-9954(2003)03-0012-05

Analysis of Factors Affecting Bubble Size Distribution by Solving Population Balance equations Using Monte Carlo Method
MA Zhi jie ,SONG Hai hua ,ZHANG Min qing. Analysis of Factors Affecting Bubble Size Distribution by Solving Population Balance equations Using Monte Carlo Method[J]. Chemical Engineering, 2003, 31(3): 12-16
Authors:MA Zhi jie   SONG Hai hua   ZHANG Min qing
Affiliation:MA Zhi jie 1,SONG Hai hua 2,ZHANG Min qing 2
Abstract:The bubble size distribution on distillation tower trays is a key parameter for calculating distillation tray efficiency,designing and operating distillation towers.Based on Kolmogoroff′s isotropic turbulence theory and combining with possibility theories,bubble breakup and coalescence phenomena and mechanism were observed and studied by computer aided image processing technology.To solve population balance equations(PBEs) and analyze factors that affect the bubble size distribution on distillation tower trays,the Monte Carlo simulation technique was applied.The calculation results agree well with experimental data, and show that bubble size distribution follows the lognormal distribution.This conclusion is identical with other reseachers′.
Keywords:Monte Carlo method  population balance equations  breakup  coalescence
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