Monte Carlo Solution of Particle Size Distribution under Simultaneous Coagulation and Nucleation

Abstract

Abstract: Particle size distribution evolves with time undergoing both particle coagulation and nucleation process.There are some difficulties for popular Monte Carlo(MC) methods to solve general dynamic equation(GDE) for simultaneous coagulation and nucleation of particle.A new multi-Monte Carlo(MMC) method was promoted to describe the time evolution of particle size distribution. MMC method is based on "time-driven" technique and introduces the concept of "weighted fictitious particle".Furthermore,MMC keeps synchronously the computational domain and the total number of fictitious particles constant.MMC method was used to simulate the time evolution of particle size distribution for constant coagulation kernel and the first-order nucleation kernel.The simulation results obtained by MMC method are in good agreement with numerical solutions,which proves that MMC method has a high and stable computational precision.In addition,MMC method has a low computation cost because the number of those tracked fictitious particles in MMC method is far less than that of the real particles.

Key words: Monte Carlo method, Particle size distribution, Coagulation, Nucleation, General dynamic equation

CLC Number:

TrendMD:

ZHENG Chu-Guang, ZHAO Hai-Bo. Monte Carlo Solution of Particle Size Distribution under Simultaneous Coagulation and Nucleation[J]. Chem. J. Chinese Universities, 2005, 26(11): 2086.

[1]	WANG Ruyue, WEI Hehe, HUANG Kai, WU Hui. Freezing Synthesis for Single Atom Materials [J]. Chem. J. Chinese Universities, 2022, 43(9): 20220428.
[2]	HUANG Mingxin, ZHOU Lei, WANG Xuezhong. Measurement of Particle Size Distribution of Battery Slurries Using Ultrasonic Attenuation Spectroscopy [J]. Chem. J. Chinese Universities, 2022, 43(6): 20220040.
[3]	XU Wenzhe, ZHANG Hao. Supramolecular Interactions-mediated Nanodrug Nucleation [J]. Chem. J. Chinese Universities, 2022, 43(10): 20220264.
[4]	QU Siying, XU Qin. Different Roles of Some Key Residues in the S4 Pocket of Coagulation Factor Xa for Rivaroxaban Binding ^† [J]. Chem. J. Chinese Universities, 2019, 40(9): 1918.
[5]	SUN Jie, MING Tingyun, QIAN Huixuan, ZHANG Manke, TAN Yong. Electrochemical Behavior of Copper Electrodeposition in BMIMPF₆ Ionic Liquid [J]. Chem. J. Chinese Universities, 2018, 39(7): 1497.
[6]	HUANG Zhaoliang, GAO Fangyuan, WANG Boliang, ZHANG Weibing. Simulation of the Formation and Fission of Charged Droplets in Electrospray Ion Source^† [J]. Chem. J. Chinese Universities, 2016, 37(4): 633.
[7]	YANG Guang, WANG Chuanming, TANG Ping, GU Songyuan. Self-assembling Behavior of Symmetric Coil-semiflexible-coil Triblock Copolymers^† [J]. Chem. J. Chinese Universities, 2014, 35(8): 1799.
[8]	LIN Songzhu, CHEN Huanhuan, LI Yihua, JIA Ruokun. Electrochemical Preparation of Magnetic Fe₃O₄ Nanocrystalline and Its Online Coagulation Properties^† [J]. Chem. J. Chinese Universities, 2014, 35(12): 2529.
[9]	SUN Mei-Yu, PANG Xiu-Jiang, MA Xiu-Ming, HOU Wan-Guo. Preparation and Particle Size Controllability of Mg-Al Layered Double Hydroxides via Coprecipitation Method Using T-type Microchannel Reactor [J]. Chem. J. Chinese Universities, 2013, 34(7): 1691.
[10]	LIU Qing, WANG Hai-Shui. Calcium Carbonate Crystals with Different Morphologies Nucleated on the Self-assembled Monolayer [J]. Chem. J. Chinese Universities, 2013, 34(12): 2681.
[11]	TANG Jing, TIAN Xiao-Chun, LIU Yue-Qiang, LIN Jian-Hang. Nucleation Mechanism and Electrocatalysis of Pd NPs onto ITO Electrode in the Electrochemical Deposition Process [J]. Chem. J. Chinese Universities, 2012, 33(05): 1011.
[12]	LUO Fa-Liang, ZHANG Xiu-Qin, LI Rong-Bo, GAN Zhi-Hua, JI Jun-Hui, WANG Du-Jin. Effect of Self-nucleation Process on Isothermal Crystallization Behavior of Polybutylene Succinate [J]. Chem. J. Chinese Universities, 2010, 31(6): 1274.
[13]	TONG Cui-Yan, XIE De-Min, YANG De-Cai . Effects of Self-seeding Nucleation on Crystallization Behavior of Syndiotactic 1,2-Polybutadiene [J]. Chem. J. Chinese Universities, 2005, 26(1): 197.
[14]	HUANG Pei, HUANG De-Chun, XU Nan-Ping, SHI Jun . Quantitative Identification of Nucleation and Crystal Growth Stages in Batch Crystallization from Solution [J]. Chem. J. Chinese Universities, 2004, 25(3): 504.
[15]	WANG Song, YANG De-Cai . Isothermal Crystallization Kinetics of iPP During Self-nucleation Process [J]. Chem. J. Chinese Universities, 2004, 25(1): 191.

Monte Carlo Solution of Particle Size Distribution under Simultaneous Coagulation and Nucleation

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments