Skip to main content
×
Home
    • Aa
    • Aa

Monte Carlo simulation of coagulation in discrete particle-size distributions. Part 1. Brownian motion and fluid shearing

  • H. J. Pearson (a1), I. A. Valioulis (a1) and E. J. List (a1)
Abstract

A method for the Monte Carlo simulation, by digital computer, of the evolution of a colliding and coagulating population of suspended particles is described. Collision mechanisms studied both separately and in combination are: Brownian motion of the particles, and laminar and isotropic turbulent shearing motions of the suspending fluid. Steady-state distributions are obtained by adding unit-size particles at a constant rate and removing all particles once they reach a preset maximum volume. The resulting size distributions are found to agree with those obtained by dimensional analysis (Hunt 1982).

Copyright
References
Hide All
Abramowitz, M. & Stegun, I. A. 1972 Handbook of Mathemtical Functions. Natl Bur. Stand.
Adler, P. M. 1981 Heterocoagulation in shear flow. J. Coll. Interface Sci. 83, 106115.
Alder, B. J. & Wainwright, T. E. 1959 Studies in molecular dynamics. I. General method. J. Chem. Phys. 31, 459466.
Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Chandrasekhar, S. 1943 Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15, 189.
Corrsin, S. 1963 Estimates of the relations between Eulerian and Lagrangian scale in large Reynolds number turbulence. J. Atmos. Sci. 20, 115.
Findheisen, W. 1939 Meteor. Z. 56, 356.
Friedlander, S. K. 1960a On the particle size spectrum of atmospheric aerosols. J. Meteor. 17, 373374.
Friedlander, S. K. 1960b Similarity considerations for the particle-size spectrum of a coagulating, sedimenting aerosol. J. Meteor. 17, 479483.
Gartrell, G. & Friedlander, S. K. 1975 Relating particulate pollution to sources: the 1972 California aerosol characterization study. Atmos. Environ. 9, 279294.
Gelbard, F., Tambour, Y. & Seinfeld, J. H. 1980 Sectional representations for simulating aerosol dynamics. J. Coll. Interface Sci. 76, 541556.
Gillespie, D. T. 1972 The stochastic coalescence model for cloud droplet growth. J. Atmos. Sci. 29, 14961510.
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw-Hill.
Hunt, J. R. 1982 Self-similar particle size distributions during coagulations: theory and experimental verification. J. Fluid Mech. 122, 169185.
Husar, R. B. 1971 Coagulation of Knudsen aerosols. Ph.D. thesis, The University of Minnesota, Minneapolis.
Lumley, J. L. 1972 On the solution of equations describing small scale deformation. In Symposia Mathematica: Convegno sulla Teoria della Turbolenza al Instituto de Alta Matematica. Academic.
Mason, S. G. 1977 Orthokinetic phenomena in disperse systems. J. Coll. Interface Sci. 58, 275285.
Monin, A. S. & Yaglom, A. M. 1975 Statistical Fluid Mechanics, vol. 2. MIT Press.
Nowakowski, R. & Sitarski, M. 1981 Brownian coagulation of aerosol particles by Monte Carlo simulation. J. Coll Interface Sci. 83, 614622.
Pruppacher, H. R. & Klett, J. D. 1978 Microphysics of Clouds and Precipitation. Reidel.
Saffman, P. G. & Turner, J. S. 1956 On the collision of drops in turbulent clouds. J. Fluid Mech. 1, 1630.
Smoluchowski, M. 1916 Drei Vorträge über Diffusion brownsche Bewegung und Koagulation von Kolloidteilchen. Physik Z. 17, 557585.
Smoluchowski, M. 1917 Versuch einer mathematischen Theorie der Koagulationskinetic kolloider Lösungen. Z. Phys. Chem. 92, 129.
Valioulis, I. A., List, E. J. & Pearson, H. J. 1984 Monte Carlo simulation of coagulation in discrete particle-size distributions. Part 2. Interparticle forces and the quasi-stationary equilibrium hypothesis. J. Fluid Mech. 143, 387411.
van de Ven, T. G. M. & Mason, S. G. 1977 The microrheology of colloidal dispersions. VIII. Effect of shear on perikinetic doublet formation. Coll. Polymer Sci. 255, 794804.
Zeichner, G. R. & Schowalter, W. R. 1977 Use of trajectory analysis to study the stability of colloidal dispersions in flow fields. AIChE J. 23, 243254.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 19 *
Loading metrics...

Abstract views

Total abstract views: 110 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 21st October 2017. This data will be updated every 24 hours.