Solutions of the shear-induced coalescence equations for polydisperse emulsion droplets using Monte Carlo and moments techniques

H. Mousa, T. G.M. van de Ven

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Shear-induced coalescence of emulsion droplets is simulated by a Monte Carlo method, based on generating a droplet from a given droplet size distribution and a second droplet from the corresponding frequency distribution. The orthokinetic coalescence efficiency coefficient is assumed to be a function of the radius ratio of the colliding droplets. The theory also applies approximately to the irreversible coagulation of solid particles. The moments method, an alternative method to solve Smoluchowski's equation, was modified to allow for a radius dependence of the coalescence efficiency. Comparison between the results of both methods yielded excellent agreement. A tremendous saving on computation time was achieved with the moments method. The self-preserving form hypothesis was tested. It was found that the size distribution of the emulsions that were examined was self-preserved.

Original languageEnglish
Pages (from-to)221-228
Number of pages8
JournalColloids and Surfaces A: Physicochemical and Engineering Aspects
Volume95
Issue number2-3
DOIs
Publication statusPublished - Feb 20 1995

Fingerprint

Emulsions
Coalescence
coalescing
emulsions
shear
moments
Method of moments
radii
frequency distribution
coagulation
preserving
Monte Carlo method
Coagulation
coefficients
Monte Carlo methods

Keywords

  • Drop coalescence
  • Drop size distribution
  • Shear stability
  • Two-body collisions

ASJC Scopus subject areas

  • Colloid and Surface Chemistry

Cite this

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abstract = "Shear-induced coalescence of emulsion droplets is simulated by a Monte Carlo method, based on generating a droplet from a given droplet size distribution and a second droplet from the corresponding frequency distribution. The orthokinetic coalescence efficiency coefficient is assumed to be a function of the radius ratio of the colliding droplets. The theory also applies approximately to the irreversible coagulation of solid particles. The moments method, an alternative method to solve Smoluchowski's equation, was modified to allow for a radius dependence of the coalescence efficiency. Comparison between the results of both methods yielded excellent agreement. A tremendous saving on computation time was achieved with the moments method. The self-preserving form hypothesis was tested. It was found that the size distribution of the emulsions that were examined was self-preserved.",
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AU - van de Ven, T. G.M.

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N2 - Shear-induced coalescence of emulsion droplets is simulated by a Monte Carlo method, based on generating a droplet from a given droplet size distribution and a second droplet from the corresponding frequency distribution. The orthokinetic coalescence efficiency coefficient is assumed to be a function of the radius ratio of the colliding droplets. The theory also applies approximately to the irreversible coagulation of solid particles. The moments method, an alternative method to solve Smoluchowski's equation, was modified to allow for a radius dependence of the coalescence efficiency. Comparison between the results of both methods yielded excellent agreement. A tremendous saving on computation time was achieved with the moments method. The self-preserving form hypothesis was tested. It was found that the size distribution of the emulsions that were examined was self-preserved.

AB - Shear-induced coalescence of emulsion droplets is simulated by a Monte Carlo method, based on generating a droplet from a given droplet size distribution and a second droplet from the corresponding frequency distribution. The orthokinetic coalescence efficiency coefficient is assumed to be a function of the radius ratio of the colliding droplets. The theory also applies approximately to the irreversible coagulation of solid particles. The moments method, an alternative method to solve Smoluchowski's equation, was modified to allow for a radius dependence of the coalescence efficiency. Comparison between the results of both methods yielded excellent agreement. A tremendous saving on computation time was achieved with the moments method. The self-preserving form hypothesis was tested. It was found that the size distribution of the emulsions that were examined was self-preserved.

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