Using the Surface Evolver to model droplet formation processes in membrane emulsification.

J Colloid Interface Sci

Lund University, Department of Food Technology, Engineering, and Nutrition, PO Box 124, 221 00, Sweden.

Published: November 2004

AI Article Synopsis

  • A model was created to explain how droplets form during membrane emulsification using Gibbs free energy and a simulation tool called Surface Evolver, which analyzes surfaces influenced by tension.
  • A testing program was developed to visualize droplet growth, identify when droplets become unstable due to changes in free energy, and predict their sizes based on inputs like pore shape and interfacial tension.
  • The model effectively predicted droplet sizes for certain pore shapes, achieving an average error of only 8% when compared to average sizes reported in other studies.

Article Abstract

A model was developed to describe the droplet formation mechanism in membrane emulsification from the point of view of Gibbs free energy with the help of the Surface Evolver, which is an interactive finite element program for the study of interfaces shaped by surface tension. A program to test the model was written and run which allows the user to track the droplet shape as it grows, to identify the point of instability due to free energy, and thus predict droplet size. The inputs of the program are pore geometry, oil-aqueous phase interfacial tension, and contact angle. The model reasonably predicted droplet sizes for oblong-shaped pores under quiescent conditions where the force balance approach is not applicable. The model was validated against experimental conditions from the literature where the average error of the predictions compared to the mean droplet sizes was 8%.

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http://dx.doi.org/10.1016/j.jcis.2004.06.068DOI Listing

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