THE VERIFICATION OF THE TAYLOR-EXPANSION MOMENT METHOD IN SOLVING AEROSOL BREAKAGE

Abstract

The combination of the method of moment, characterizing the particle population alance, and the computational fluid dynamics has been an emerging research ssue in the studies on the aerosol science and on the multiphase flow science. he difficulty of solving the moment equation arises mainly from the closure of ome fractal moment variables which appears in the transform from the non- linear integral-differential population balance equation to the moment equations. ithin the Taylor-expansion moment method, the breakage-dominated Taylor- expansion moment equation is first derived here when the symmetric fragmentation echanism is involved. Due to the high efficiency and the high precision, this roposed moment model is expected to become an important tool for solving opulation balance equations.

Keywords

Dates

  • Submission Date2012-08-01
  • Revision Date2012-09-01
  • Acceptance Date2012-09-13

DOI Reference

10.2298/TSCI1205424Y

References

  1. Lin, J. Z., Liu, Y. H., Nanoparticle Nucleation and Coagulation in a Mixing Layer, Acta Mechanica Sinica, 26 (2010), 4, pp. 521-529
  2. 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), 2, pp. 7229-7245
  3. Lin, J. Z., Lin, P. F., Chen, H. J., Nanoparticle Distribution in a Rotating Curved Pipe Considering Coagulation and Dispersion. Science China: Physics, Mechanics and Astronomy, 54 (2011), 8, pp. 1502- 1513
  4. Lin, P. F., Lin, J. Z., Transport and Deposition of Nanoparticles in Bend Tube with Circular Cross- Section, Progress in Natural Science, 19 (2009), 1, pp. 33-39
  5. Lin, J. Z., Wang, Y. M., Effects of Inter-particle Interactions and Hydrodynamics on the Brownian Coagulation Rate of Polydisperse Nanoparticles, Modern Physics Letters B, 26 (2012), No: 10.1142/ S0217984911500102
  6. Lin, J. Z., Lin, P. F., Chen, H. J., Research on the Transport and Deposition of Nanoparticles in a Rotating Curved Pipe, Physics of Fluids, 21 (2009), 12, pp. 2001-2011
  7. Lin, J. Z., Chan, T. L., Liu, S., Effects of Coherent Structures on Nanoparticle Coagulation and Dispersion in a Round Jet, Inter. J. of Nonlinear Sci. and Numerical Simulation, 8 (2007), 1, pp. 45-54
  8. Liu, S., Lin, J. Z., Numerical Simulation of Nanoparticle Coagulation in a Poiseuille Flow via a Moment Method, Journal of Hydrodynamics, 20 (2008), 1, pp. 1-9
  9. Barthelmes, G., Pratsinis, S. E., Buggisch, H., Particle Size Distribution and Viscosity of Suspensions Undergoing Shear-induced Coagulation and Fragmentation, Chem. Eng. Sci., 58 (2003), 13, pp. 2893- 2902
  10. Yu, M. Z., Lin, J. Z., Taylor-Expansion Moment Method for Agglomerate Coagulation due to Brownian Motion in the Entire Size Regime, J. Aerosol Sci., 40 (2009), 6, pp. 549-562
  11. Soos, M., Wang, L., Fox, R. O., Sefcik, J., Morbidelli, M., Population Balance Modeling of Aggregation and Breakage in Turbulent Taylor-Couette Flow, J. Colloid Interface Sci., 307 (2006), 2, pp. 433- 446
  12. Spicer, P. T., Pratsinis, S. E., Coagulation and Fragmentation: Universal Steady-State Particle-Size Distribution. AICHE J., 42 (1996), 6, pp. 1612-1620
  13. Marchisio, D., Vigil, R. D., Fox, R. O., Quadrature Method of Moments for Aggregation-Breakage Processes, J. Colloid Interface Sci., 258 (2003), 2, pp. 322-334
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