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Coupled coagulation of aerosol particles at large Knudsen and small Péclet numbers
引用本文:ZHANG Lianzhong,WEN Jingsong. Coupled coagulation of aerosol particles at large Knudsen and small Péclet numbers[J]. 自然科学进展(英文版), 2001, 11(2): 94-99
作者姓名:ZHANG Lianzhong  WEN Jingsong
作者单位:Institute of Physics, Nankai University, Tianjin 300071, China,Institute of Physics, Nankai University, Tianjin 300071, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No. 49875003) and the Doctoral Programme Foundation of Institution of Higher Education of China.
摘    要:At large Knudsen number, the medium can be approximated by a molecular system, and the equa tion for the pair-distribution function is then established. When the Péclet number is small, the matched asymptotic ex pansions of singular perturbation theory is used to solve the equation of the pair-distribution function. A third-order ex pansion for the dimensionless coagulation rate (Nusselt number) is thus obtained. Comparison of numeric results of the coagulation rate in a molecular system and that in a continuous medium has shown that the coagulation rate in a molecu lar system is much larger than that in a continuous medium.

关 键 词:Knudsen number   Péclet number   aerosol particle   singular perturbation   coagulation rate

Coupled coagulation of aerosol particles at large Knudsen and small Péclet numbers
ZHANG Lianzhong,WEN Jingsong. Coupled coagulation of aerosol particles at large Knudsen and small Péclet numbers[J]. Progress in Natural Science, 2001, 11(2): 94-99
Authors:ZHANG Lianzhong  WEN Jingsong
Affiliation:Institute of Physics, Nankai University, Tianjin 300071, China
Abstract:At large Knudsen number, the medium can be approximated by a molecular system, and the equa tion for the pair-distribution function is then established. When the Péclet number is small, the matched asymptotic ex pansions of singular perturbation theory is used to solve the equation of the pair-distribution function. A third-order ex pansion for the dimensionless coagulation rate (Nusselt number) is thus obtained. Comparison of numeric results of the coagulation rate in a molecular system and that in a continuous medium has shown that the coagulation rate in a molecu lar system is much larger than that in a continuous medium.
Keywords:Knudsen number  Péclet number  aerosol particle  singular perturbation  coagulation rate
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