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The Evolution of Bimodal Size Distribution with Spatially Inhomogeneous Particle Concentration

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Clean Coal Technology and Sustainable Development (ISCC 2015)

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Abstract

In the present study, a simple model of Brownian agglomeration and diffusion for aerosol particles is developed to study the formation and evolution of bimodal size distribution with spatially inhomogeneous particle concentration. The calculation is based on the asymptotic solution for Brownian agglomeration, and the particle concentration distribution in 1-D space is simplified with a Gauss complementary error function, and the local self-preserving particle size distribution assumes the log-normal. The asymptotic analysis reveals that the global particle size distribution is unimodal initially; as time advances, the bimodality is formed; but at long time, the global particle size distribution returns to a unimodal function. The result shows that the inhomogeneity of particle concentration is an important factor in the formation of bimodal size distribution.

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Acknowledgment

This work is supported by the National Natural Science Foundation of China with Grant No. 11572138, the Fundamental Research Funds for the Central Universities (Project No. 2013TS078) and the Foundation of State Key Laboratory of Coal Combustion (Project No.FSKLCCB1401).

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Authors and Affiliations

  1. State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, China

    M. L. Xie, T. T. Kong & Q. He

Authors
  1. M. L. Xie
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  2. T. T. Kong
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  3. Q. He
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Corresponding author

Correspondence to M. L. Xie .

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Editors and Affiliations

  1. Tsinghua University, Department of Thermal Engineering Tsinghua University, Beijing, Beijing, China

    Guangxi Yue

  2. Tsinghua University, Department of Thermal Engineering Tsinghua University, Beijing, Beijing, China

    Shuiqing Li

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© 2016 Springer Science+Business Media Singapore and Tsinghua University Press

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Xie, M.L., Kong, T.T., He, Q. (2016). The Evolution of Bimodal Size Distribution with Spatially Inhomogeneous Particle Concentration. In: Yue, G., Li, S. (eds) Clean Coal Technology and Sustainable Development. ISCC 2015. Springer, Singapore. https://doi.org/10.1007/978-981-10-2023-0_56

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  • DOI: https://doi.org/10.1007/978-981-10-2023-0_56

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2022-3

  • Online ISBN: 978-981-10-2023-0

  • eBook Packages: EnergyEnergy (R0)

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