Advertisement

Aggregation kinetics in a flow: The role of particle-wall collisions

  • N. V. BrilliantovEmail author
  • J. Schmidt
Article

Abstract

Agglomeration in a fluid flow, when collisions of aggregates with channel walls are important is analyzed. We assume the diffusion-limited mechanism for clusters growth and the Stokes' force exerted on the agglomerates from the flow. Collisions of the particles with the channel walls are modeled by a random Poisson process. We develop an analytical theory for the size distribution of the aggregates and check the theoretical predictions by Monte Carlo simulations. The numerical data agree well with the analytical results.

Keywords

Monte Carlo European Physical Journal Special Topic Channel Wall Soot Particle Aggregation Kinetic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.M.H. Merks, A.G. Hoekstra, J.A. Kaandorp, P.M.A. Sloot, Int. J. Mod. Phys. C 14, 1171 (2003)Google Scholar
  2. T. Inamuro, T. Iia, Math. Comp. Simul. 72, 141 (2006)Google Scholar
  3. T. Kovfics, G. Bfirdos, Physica A 247, 59 (1997)Google Scholar
  4. D. Liepsch (ed.), Biofluid Mechanics: Blood Flow in Large Vessels (Springer, Berlin, 1990)Google Scholar
  5. R.D. Kamm, Ann. Rev. Fluid Mech. 34, 211 (2002)Google Scholar
  6. J.J. Bishop, A.S. Popel, M. Intaglietta, P.C. Johnson, Biorheology 38, 263 (2001)Google Scholar
  7. L. Leung, R. Nachman, Ann. Rev. Med. 37, 179 (1986)Google Scholar
  8. K. Chakrabarty, F. Su, Digital Microfluidic Biochips: Synthesis, Testing, and Reconfiguration (CRC Press, 2006)Google Scholar
  9. J. Schmidt, N.V. Brilliantov, F. Spahn, S. Kempf, Nature 451, 685 (2008)Google Scholar
  10. F. Leyvraz, Phys. Reports 383, 95 (2003)Google Scholar
  11. A.C. Zettelmoyer, Nucleation (Marcel Dekker, New York, 1969)Google Scholar
  12. S. Chapman, T.G. Cowling, The Mathematical Theory of Non-uniform Gases (Cambridge University Press, Cambridge, 1970)Google Scholar
  13. G.K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, 1967)Google Scholar
  14. J.B. Seaborn, Hypergeometric Functions and Their Applications (Springer-Verlag, New York, 1991)Google Scholar

Copyright information

© EDP Sciences and Springer 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Leicester, University RoadLeicesterUK
  2. 2.Institute of Physics, University of PotsdamPotsdamGermany

Personalised recommendations