THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Mingliang Xie

,

Jin Li

,

Tingting Kong

,

Qing He

AN IMPROVED PARTICLE POPULATION BALANCE EQUATION IN THE CONTINUUM-SLIP REGIME

ABSTRACT
An improved moment model is proposed to solve the population balance equation for Brownian coagulation in the continuum-slip regime, and it reduces to a known one in open literature when the non-linear terms in the slip correction factor are ignored. The present model shows same asymptotic behavior as that in the continuum regime.
KEYWORDS
Taylor series expansion, moment method, population balance equation, slip correction factor
PAPER SUBMITTED: 2015-12-10
PAPER REVISED: 2016-02-01
PAPER ACCEPTED: 2016-02-04
PUBLISHED ONLINE: 2016-08-13
DOI REFERENCE: https://doi.org/10.2298/TSCI1603921X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 3, PAGES [921 - 926]
REFERENCES
  1. Friedlander, S. K., Smoke, Dust, and Haze: Fundamentals of Aerosol Dynamics, 2nd ed., Oxford University Press, London, 2000
  2. Pratsinis, S. E., Simultaneous Nucleation, Condensation, and Coagulation in Aerosol Reactor, Journal of Colloid and Interface Science, 124 (1988), 2, pp. 416-427
  3. Wang, W. X., et al., A Simple Moment Model to Study the Effect of Diffusion on the Coagulation of Nanoparticles Due to Brownian Motion in the Free Molecule Regime, Thermal Science, 16 (2012), 5, pp. 1331-1338
  4. Wan, Z. H., et al., Model of Fractal Aggregates Induced by Shear, Thermal Science, 17 (2013), 5, pp. 1403-1408
  5. Cunningham, E., On the Velocity of Steady Fall of Spherical Particles Through Fluid Medium, Royal Society of London. Series A, 83 (1910), 563, pp. 357-365
  6. Kim, J. H., et al., Slip Correction Measurements of Certified PSL Nanoparticles Using a Nanometer Differential Mobility Analyzer (Nano-DMA) for Knudsen Number from 0.5 to 83, Journal of Research of the National Institute of Standards and Technology, 110 (2005), 1, pp. 31-54
  7. Yu, M. Z., et al., A New Analytical Solution for Solving the Population Balance Equation in the Continuum-Slip Regime, Journal of Aerosol Science, 80 (2015), Feb., pp. 1-10
  8. Xie, M.-L., Wang, L.-P., Asymptotic Solution of Population Balance Equation Based on TEMOM Model, Chemical Engineering Science, 94 (2013), May, pp. 79-83
  9. Yu, M. Z., et al., A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion, Aerosol Science and Technology, 42 (2008), 9, pp. 705-713
  10. He, Q., Xie, M.-L., The Fundamental Aspects of TEMOM Model for Particle Coagulation Due to Brownian Motion in the Continuum Regime, Abstract and Applied Analysis, 2013 (2013), ID 490123
  11. Xie, M.-L., He, Q., The Fundamental Aspects of TEMOM Model for Particle Coagulation Due to Brownian Motion in the Free Molecule Regime, International Journal of Heat and Mass Transfer, 70 (2014), Mar., pp. 1115-1120
  12. Xie, M.-L., et al., A TEMOM Model to Simulate Nanoparticle Growth in the Temporal Mixing Layer Due to Brownian Coagulation, Journal of Aerosol Science, 54 (2012), Dec., pp. 32-48
  13. Veshchunov, M. S., A New Approach to the Brownian Coagulation Theory, Journal of Aerosol Science, 41 (2010), 10, pp. 895-910
  14. Xie, M.-L., He, Q., Analytical Solution of TEMOM Model for Particle Population Balance Equation Due to Brownian Coagulation, Journal of Aerosol Science, 66 (2013), Dec., pp. 24-30
  15. Ep stein, P. S., On the Resis tance Experienced by Spheres in Their Motion Through Gases, Physical Review, 23 (1924), June, pp. 710-733
  16. Xie, M.-L., Asymptotic Behavior of TEMOM Model for Particle Population Balance Equation over the Entire Particle Size Regime, Journal of Aerosol Science, 67 (2014), Jan., pp.157-165
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An improved particle population balance equation in the continuum-slip regime

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence