Abstract
The time evolution of aerosol size distribution during precipitation, which is founded mathematically by general dynamic equation (GDE) for wet removal, describes quantitatively the process of aerosol wet scavenging. The equation depends on aerosol size distribution, raindrop size distribution and the complicated model of scavenging co-efficient which is induced by taking account of the important wet removal mechanisms such as Brownian diffusion, interception and inertial impaction. Normal numerical methods can hardly solve GDE, which is a typical partially integro-differential equation. A new multi-Monte Carlo method was introduced to solve GDE for wet removal, and then was used to simulate the wet scavenging of aerosols in the real atmospheric environment. The results of numerical simulation show that, the smaller lognormal raindrop size distribution and lognormal initial aerosol size distribution, the smaller geometric mean diameter or geometric standard deviation of raindrops can help scavenge small aerosols and intermediate size aerosols better, though large aerosols are prevented from being collected in some ways.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Mircea M, Stefan S. A theoretical study of the microphysical parameterization of the scavenging coefficient as a function of precipitation type and rate[J]. Atmospheric Environment, 1998, 32(17):2931–2938.
Mircea M, Stefan S, Fuzzi S. Precipitation scavenging coefficient: influence of measured aerosol and raindrop size distributions[J]. Atmospheric Environment, 2000, 34(30):5169–5174.
Chate D M, Pranesha T S. Field studies of scavenging of aerosols by rain events[J]. Journal of Aerosol Science, 2004, 35(6):695–706.
Loosmore G A, Cederwall R T. Precipitation scavenging of atmospheric aerosols for emergency response applications: testing an updated model with new real-time data[J]. Atmospheric Environment, 2004, 38(7):993–1003.
Zhang L M, Michelangeli D V, Taylor P A. Numerical studies of aerosol scavenging by low-level, warm stratiform clouds and precipitation[J]. Atmospheric Environment, 2004, 38(28):4653–4665.
Jung C H, Kim Y P, Lee K W. Analytic solution for polydispersed aerosol dynamics by a wet removal process[J]. Journal of Aerosol Science, 2002, 33(5):753–767.
Jung C H, Kim Y P, Lee K W. A moment model for simulating raindrop scavenging of aerosols[J]. Journal of Aerosol Science, 2003, 34(9):1217–1233.
Friedlander S K. Smoke, Dust and Haze: Fundamentals of Aerosol Behavior[M]. Wiley, New York, USA, 1997.
Liffman K. A direct simulation Monte-Carlo method for cluster coagulation[J]. Journal of Computational Physics, 1992, 100(1):116–127.
Garcia A L, van den Broek C, Aertsens M, Serneels R. A Monte Carlo simulation of coagulation[J]. Physica A, 1987, 143(3):535–546.
Maisels A, Kruis F E, Fissan H. Direct simulation Monte Carlo for simultaneous nucleation, coagulation, and surface growth in dispersed systems[J]. Chemical Engineering Science, 2004, 59(11):2231–2239.
Lin Y, Lee K, Matsoukas T. Solution of the population balance equation using constant-number Monte Carlo[J]. Chemical Engineering Science, 2002, 57(12):2241–2252.
Zhao Haibo, Zheng Chuguang, Xu Minghou. Multi-Monte Carlo method for coagulation and condensation/evaporation in dispersed systems[J]. Journal of Colloid and Interface Science, 2005, 286(1):195–208.
Zhao Haibo, Zheng Chuguang, Xu Minghou. Multi-Monte Carlo approach for general dynamic equation considering simultaneous particle coagulation and breakage[J]. Powder Technology, 2005, 154(2/3):164–178.
Zhao Haibo, Zheng Chuguang. Monte Carlo solution of wet removal of aerosols by precipitation[J]. Atmospheric Environment, 2006, 40(8):1510–1525.
Zhao Haibo, Zheng Chuguang, Xu Minghou. Multi-Monte Carlo method for general dynamic equation considering particle coagulation[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(7):953–962.
Zhao Haibo, Zheng Chuguang, Xu Minghou. Monte Carlo solution of particle size distribution undergoing simultaneous particle coagulation and nucleation[J]. Chem J Chinese Universities, 2005, 26(11):2086–2089 (in Chinese).
Zhao Haibo, Zheng Chuguang. Monte Carlo simulation for simulataneous particle coagulation and depoisiton[J]. Sci China Ser E-Eng Mater Sci, 2006, 49(2):222–237.
Zhao Haibo, Zheng Chuguang, Chen Yinmi. Multi-Monte Carlo methods for inter-particle collision[J]. Acta Mechanica Sinica, 2005, 37(5):564–572 (in Chinese).
Slinn W G N. Precipitation scavenging[M]. In: Raderson D (ed). Atmospheric Sciences and Power Production, Division of Biomedical Environmental Research. US Department of Energy, Washington D C, 1983, 466–532.
Sheng Peixuan, Mao Jietai, Li Jianguo, et al. Atmospheric Physics[M]. Peking University Press, Beijing, 2003, 332–333 (in Chinese).
Greenfield S. Rain scavenging of radioactive particulate matter from the atmosphere[J]. Journal of Meteorology, 1957, 14(2):115–125.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by LI Jia-chun
Project supported by the National Key Basic Research and Development Program of China (No.2002CB211602) and the National Natural Science Foundation of China (No.90410017)
Rights and permissions
About this article
Cite this article
Zhao, Hb., Zheng, Cg. Stochastic algorithm and numerical simulation for drop scavenging of aerosols. Appl Math Mech 27, 1321–1332 (2006). https://doi.org/10.1007/s10483-006-1004-z
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10483-006-1004-z