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Zhong-Li CHEN


The collision efficiency of Brownian coagulation for monodisperse aerosol particles in the transition regime is considered. A new expression for collision efficiency is proposed taking into account the influence of tangential relative motion when two particles get close enough during the diffusion process. The breakaway point from which the theory of near continuum regime no longer applies can thus be obtained easily. A comparison with experimental measurements shows the accuracy of the results predicted by the new theory.

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CHEN, Zhong-Li. BROWNIAN COAGULATION OF AEROSOLS IN TRANSITION REGIME. Thermal Science, [S.l.], v. 16, n. 5, p. 1362-1366, dec. 2016. ISSN 2334-7163. Available at: <>. Date accessed: 19 sep. 2017. doi:
Received 2016-12-29
Accepted 2016-12-30
Published 2016-12-30


[1] Yu, M. Z., Lin, J. Z., Taylor-Expansion Moment Method for Agglomerate Coagulation due to Brownian Motion in the Entire Size Regime, Journal of Aerosol Science, 40 (2008), pp. 549-562
[2] Yu, M. Z., Lin, J. Z., Chan, T. L., A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion, Aerosol Science and Technology, 42 (2008), 9, pp. 705-713
[3] Tang, H., Lin, J. Z., Research on Bimodal Particle Extinction Coefficient during Brownian Coagulation and Condensation for the Entire Particle Size Regime, Journal of Nanoparticle Research, 13 (2011), 12, pp. 7229-7245
[4] Yu, M. Z., Lin, J. Z., Chen, L. H., et al., Large Eddy Simulation of a Planar Jet Flow with Nanoparticle Coagulation, Acta Mechanica Sinica, 22 (2006), 4, pp. 293-300
[5] Yu, M. Z., Lin, J. Z., Solution of the Agglomerate Brownian Coagulation Using Taylor-expansion Moment Method, Journal of Colloid and Interface Science, 336 (2009), 1, pp. 142-149
[6] Yu, M. Z., Lin, J. Z., Chan, T. L., Numerical Simulation of Nanoparticle Synthesis in Diffusion Flame Reactor, Powder Technology, 181 (2008), 1, pp. 9-20
[7] Yu, M. Z., Lin, J. Z., Chan, T. L., Effect of Precursor Loading on Non-Spherical TiO2 Nanoparticle Synthesis in a Diffusion Flame Reactor, Chem. Eng. Sci., 63 (2008), 9, pp. 2317-2329
[8] fon Smoluchowski, M., Experiments on a Mathematical Theory of Kinetic Coagulation of Coloid Solutions, Zeitschrift fur physikalische Chemie, Stochiometrie und Verwandtschaftslehre, 92 (1917), 2, pp. 129-168
[9] Davies, C. N., Definitive Equations for the Fluid Resistance of Spheres, Proceedings of the Physical Society of London, 57 (1945), 322, pp. 259-270
[10] Hidy, G. M., Brock, J. R., The Dynamics of Aerocolloidal Systems, Pergamon Press, New York, USA, 1970
[11] Wang, Y. M., Lin, J. Z., Evolution of Number Concentration of Nano-particles Undergoing Brownian Coagulation in the Transition Regime, J. of Hydrodynamics, 23 (2011), 4, pp. 416-421
[12] Yu, M. Z., Lin, J. Z., Jin, H. H., Jiang, Y., The Verification of the Taylor-Expansion Moment Method for the Nanoparticle Coagulation in the Entire Size Regime due to Brownian Motion, Journal of Nanoparticle Research, 12 (2011), 5, pp. 2007-2020
[13] Fuchs, N. A., To the Theory of Coagulation (in German), Z. Phys. Chemie, 171A (1934), pp. 199-208
[14] Dahneke, B., Simple Kinetic Theory of Brownian Diffusion in Vapors and Aerosols, in: Theory of dispersed multiphase flow (Ed. R. E. Meyer), Academic Press, New York, USA, 1983, pp. 97–133
[15] Otto, E., Fissan, H., Park, S. H., et al., The Log-Normal Size Distribution Theory of Brownian Aerosol Coagulation for the Entire Particle Size Range: Part II – Analytical Solution Using Dahneke’s Coagulation Kernel, Journal of Aerosol Science, 30 (1999), 1, pp. 17–34
[16] Wright, P. G., On the Discontinuity Involved in Diffusion across an Interface (the ∆ of Fuchs), Discussions of the Faraday Society, 30 (1960), pp. 100–112
[17] Davies, C. N., Coagulation of Aerosols by Brownian Motion, J. of Aerosol Science, 10 (1979), 2, pp. 151-161
[18] Spielman, L. A., Viscous Interactions in Brownian Coagulation, Journal of Colloid and Interface Science, 33 (1970), 4, pp. 562–571
[19] Chun, J., Koch, D. L., The Effects of Non-continuum Hydrodynamics on the Brownian Coagulation of Aerosol Particles, Journal of Aerosol Science, 37 (2006), 4, pp. 471-482
[20] Kim, D. S., Park, S. H., Song, Y. M., et al., Brownian Coagulation of Polydisperse Aerosols in the Transition Regime, J. of Aerosol Science, 34 (2003), 7, pp. 859-868