Analytical expressions of the collision frequency function for aggregation of magnetic particles

Prakash Kumar, Pratim Biswas

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

Expressions are derived for the collision frequency function for particles whose dipoles are randomly oriented and aligned in magnetic fields. Closed form expressions obtained in this work by making mathematical approximations are in good agreement with numerical solutions of the exact forms of the potential expressions and those reported in the literature. Non-dimensional parameter (A) constraints for the validity of these expressions are derived. These expressions are then used in a simple population balance expression to illustrate their importance under a range of values of physical parameters encountered in practical systems.

Original languageEnglish (US)
Pages (from-to)455-469
Number of pages15
JournalJournal of Aerosol Science
Volume36
Issue number4
DOIs
StatePublished - Apr 2005
Externally publishedYes

Keywords

  • Aggregation
  • Collision frequency function
  • Magnetic dipole
  • Magnetic fields
  • Smoluchowski equation

ASJC Scopus subject areas

  • Environmental Engineering
  • Pollution
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes
  • Atmospheric Science

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