The Fokker-Planck equation for bubbly flows and the motion of gas bubble pairs

Jim B.W. Kok*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)
7 Downloads (Pure)

Abstract

A method is proposed to calculate the bubble distribution function in a bubbly flow. First a review is given of the equations of motion and the dynamic behaviour of a pair of bubbles moving through a liquid at moderate Reynolds number. Subsequently, a Fokker- Planck type transport equation is derived for the bubble distribution function. It is assumed that the interaction is primarily by frequent and binary encounters, each with weak hydrodynamic interaction between the bubbles. The bubble collision cross-section, which needs to be known for the transport coefficients, is presented. A comparison with PDF-methods for fluid particles in turbulent reacting flows is made.

Original languageEnglish
Pages (from-to)319-335
Number of pages17
JournalApplied scientific research
Volume58
Issue number1
DOIs
Publication statusPublished - 1997

Keywords

  • Bubbles
  • Bubbly flow
  • Distribution
  • Interaction

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