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Regular Articles

Asymptotic Solution of Moment Approximation of the Particle Population Balance Equation for Brownian Agglomeration

Pages 109-114 | Received 11 Dec 2014, Accepted 30 Dec 2014, Published online: 05 Feb 2015

REFERENCES

  • Cunningham, E. (1910). On the Velocity of Steady Fall of Spherical Particles Through Fluid Medium. Proc. Roy. Soc. A, 83:357–365.
  • Dahneke, B.E. (1983). Simple Kinetic Theory of Brownian Diffusion in Vapors and Aerosols, in Theory of Dispersed Multiphase Flow, R.E. Meyer, ed., Academic Press, New York, pp. pp. 97–133.
  • Davis, C.N. (1982). Definitive Equations for the Fluid Resistance of Spheres. Proc. Phys. Soc. London, 57(322):259–270.
  • Friedlander, S.K. (2000). Smoke, Dust, and Haze: Fundamentals of Aerosol Dynamics, 2nd ed., Oxford University Press, London.
  • Fuchs, N.A. (1964). The Mechanics of Aerosols. Macmillan, New York.
  • Fuchs, N.A., and Sutugin, A.G. (1970). Highly Dispersed Aerosols. Ann Arbor Science Publishers, Ann Arbor.
  • Gopalakrishnan, R., and Hogan, C.J. (2011). Determination of the Transition Regime Collision Kernel from Mean First Passage Times. Aerosol Sci. Technol., 45:1499–1509.
  • Isella, L., and Drossinos, Y. (2010). Langevin Agglomeration of Nanoparticles Interacting via a Central Potential. Phys. Rev. E, 82:011404.
  • Kim, J.H., Mulholland, G.W., Kukuck, S.R., and Pui, D.Y. H. (2005). Slip Correction Measurements of Certified PSL Nanoparticles using a Nanometer Differential Mobility Analyzer (Nano-DMA) for Knudsen Number from 0.5 to 83. J. Res. Natl. Inst. Standards Technol., 110, 31–54.
  • Loyalka, S.K. (1973). Condensation on a Spherical Droplet. J. Chem. Phys., 58:354–356.
  • Pratsinis, S.E. (1988). Simultaneous Nucleation, Condensation, and Coagulation in Aerosol Reactor. J. Colloid Interf. Sci., 124:416–427.
  • Vemury, S., and Pratsinis, S.E. (1995). Self-Preserving Size Distribution of Agglomerates. J. Aerosol Sci., 26:175–185.
  • Veshchunov, M.S. (2010). A New Approach to the Brownian Coagulation Theory. J. Aerosol Sci., 41:895–910.
  • Xie, M.L., Yu, M.Z., and Wang, L.P. (2012). A TEMOM Model to Simulate Nanoparticle Growth in the Temporal Mixing Layer Due to Brownian Coagulation. J. Aerosol Sci., 54:32–48.
  • Xie, M.L., and Wang, L.P. (2013). Asymptotic Solution of Population Balance Equation Based on TEMOM Model. Chem. Eng. Sci., 94:79–83.
  • Xie, M.L., and He, Q. (2013). Analytical Solution of TEMOM Model for Particle Population Balance Equation Due to Brownian Coagulation. J. Aerosol Sci., 66:24–30.
  • Xie, M.L. (2014). Asymptotic Behavior of TEMOM Model for Particle Population Balance Equation Over the Entire Particle Size Regime. J. Aerosol Sci., 67:157–165.
  • Xie, M.L., and He, Q. (2014). The Fundamental Aspects of TEMOM Model for Particle Coagulation Due to Brownian Motion in the Free Molecule Regime. Int. J. Heat Mass Trans., 70:1115–1120.
  • Yu, M.Z., Lin, J.Z., and Chan, T.L. (2008). A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion. Aerosol Sci. Technol., 42:705–713.
  • Yu, M.Z., and Lin, J.Z. (2009). Solution of the Agglomerate Brownian Coagulation using Taylor-Expansion Moment Method. J. Colloid Interf. Sci., 336:142–149.
  • Yu, M.Z., Zhang, X.T., Jin, G.D., and Lin, J.Z. (2015). A New Analytical Solution for Solving the Population Balance Equation in the Continuum-Slip Regime. J. Aerosol Sci., 80:1–10.

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