THERMAL SCIENCE

International Scientific Journal

External Links

A BIMODAL TEMOM MODEL FOR PARTICLE BROWNIAN COAGULATION IN THE CONTINUUM-SLIP REGIME

ABSTRACT
In this paper, a bimodal Taylor-series expansion moment of method is proposed to deal with Brownian coagulation in the continuum-slip regime, where the non-linear terms in the Cunningham correction factor is approximated by Taylor-series expansion technology. The results show that both the number concentration and volume fraction decrease with time in the smaller mode due to the intra and inter coagulation, and the asymptotic behavior of the larger mode is as same as that in the continuum regime.
KEYWORDS
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/TSCI1603927H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 3, PAGES [927 - 932]
REFERENCES
  1. Friedlander, S. K., Smoke, Dust, and Haze: Fundamentals of Aerosol Dynamics, 2nd ed., Oxford University Press, London, 2000
  2. 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
  3. 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
  4. 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
  5. Xie, M. L., Asymptotic Solution of Moment Approximation of the Particle Population Balance Equation for Brownian Agglomeration, Aerosol Science and Technology, 49 (2015), 2, pp. 109-114
  6. Megaridis, C. M., Dobbins, R. A., A Bimodal Integral Solution of the Dynamic Equation for an Aerosol Undergoing Simultaneous Particle Inception and Coagulation, Aerosol Science and Technology, 12 (1990), 2, pp. 240-255
  7. Jeong, J. I., Choi, M., A Bimodal Moment Model for the Simulation of Particle Growth, Journal of Aerosol Science, 35 (2004), 9, pp. 1071-1090
  8. Lee, S. R., Wu, C. Y., Size Distribution Evolution of Fine Aerosols Due to Intercoagulation with Coarse Aerosols, Aerosol Science and Technology, 39 (2005), 4, pp. 358-370
  9. Whitby, E. R., McMurry, P. H., Modal Aerosol Dynamics Modeling, Aerosol Science and Technology, 27 (1997), 6, pp. 673-688
  10. Jeong, J. I., Choi, M., A Simple Bimodal Model for the Evolution of Non-Spherical Particles Undergoing Nucleation, Coagulation and Coalescence, Journal of Aerosol Science, 34 (2003), 8, pp. 965-976
  11. Lin, J. Z., Gan, F. J., Simulation of the Brownian Coagulation of Nanoparticles with Initial Bimodal Size Distribution Via Moment Method, Acta Mechanica Sinica, 28 (2012), 5, pp. 1227-1237
  12. Liu, Y. H., Yin, Z. Q., A New Method of Moments for the Bimodal Particle System in the Stokes Regime, Abstract and Applied Analysis, 2013 (2013), ID 840218
  13. Yu, M. Z, Chan, T. L., A Bimodal Moment Method Model for Submicron Fractal-Like Agglomerates Undergoing Brownian Coagulation, Journal of Aerosol Science, 88 (2015), Oct., pp. 19-34
  14. Liu, Y. H., Gu, H., The Taylor-Expansion Method of Moments for the Particle System with Bimodal Distribution, Thermal Science, 17 (2013), 5, pp. 1542-1545
  15. 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
  16. Lee, K. W., et al., The Log-Normal Size Distribution Theory for Brownian Coagulation in the Low Knudsen Number Regime, Journal of Colloid and Interface Science, 188 (1997), 2, pp. 486-492
  17. 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
  18. 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

© 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