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Research on bimodal particle extinction coefficient during Brownian coagulation and condensation for the entire particle size regime

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Abstract

The extinction coefficient of atmospheric aerosol particles influences the earth’s radiation balance directly or indirectly, and it can be determined by the scattering and absorption characteristics of aerosol particles. The problem of estimating the change of extinction coefficient due to time evolution of bimodal particle size distribution is studied, and two improved methods for calculating the Brownian coagulation coefficient and the condensation growth rate are proposed, respectively. Through the improved method based on Otto kernel, the Brownian coagulation coefficient can be expressed simply in powers of particle volume for the entire particle size regime based on the fitted polynomials of the mean enhancement function. Meanwhile, the improved method based on Fuchs–Sutugin kernel is developed to obtain the condensation growth rate for the entire particle size regime. And then, the change of the overall extinction coefficient of bimodal distributions undergoing Brownian coagulation and condensation can be estimated comprehensively for the entire particle size regime. Simulation experiments indicate that the extinction coefficients obtained with the improved methods coincide fairly well with the true values, which provide a simple, reliable, and general method to estimate the change of extinction coefficient for the entire particle size regime during the bimodal particle dynamic processes.

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Acknowledgments

This study was supported by the National Natural Science Foundation of China (No. 11132008) and Zhejiang Province Natural Science Funds (Y6110147). The authors thank E.R. Whitby (Chimera Technologies, Inc., USA) and C.H. Jung (Kyungin Women’s College, Korea) for useful discussions on the coagulation and condensation.

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Authors and Affiliations

  1. State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, 310027, China

    Hong Tang & Jian-Zhong Lin

  2. College of Metrology & Measurement Engineering, China Jiliang University, Hangzhou, 310018, China

    Hong Tang & Jian-Zhong Lin

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  1. Hong Tang
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  2. Jian-Zhong Lin
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Correspondence to Jian-Zhong Lin.

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Tang, H., Lin, JZ. Research on bimodal particle extinction coefficient during Brownian coagulation and condensation for the entire particle size regime. J Nanopart Res 13, 7229–7245 (2011). https://doi.org/10.1007/s11051-011-0637-z

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  • DOI: https://doi.org/10.1007/s11051-011-0637-z

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