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Numerical Simulation of Ostwald Ripening in Emulsions
1Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Alberta, T6G 2G6, Canada
Journal of Colloid and Interface Science
|October 30, 1998
Summary
This study successfully models Ostwald ripening in finite dispersed systems using numerical and analytical methods. The model accurately predicts growth rates across various concentrations, offering a new expression for Ostwald ripening kinetics.
Area of Science:
- Materials Science
- Chemical Engineering
- Physical Chemistry
Background:
- Ostwald ripening is a key process in phase transformations.
- Modeling Ostwald ripening at finite dispersed phase volumes presents challenges.
- Existing models often simplify dispersed phase concentrations.
Purpose of the Study:
- To develop and validate a numerical model for Ostwald ripening at finite dispersed phase volumes.
- To investigate the effect of dispersed phase volume fraction on ripening kinetics.
- To provide a predictive tool for Ostwald ripening phenomena.
Main Methods:
- Linearized analytical solutions of ripening equations.
- An explicit numerical routine incorporating a number frequency distribution of drop radii.
- Defining mass transfer boundary using average separation distance between drops.
Main Results:
- Numerical predictions closely matched analytical results for dilute systems.
- The model successfully predicted experimental cumulative frequency distributions.
- A constant growth rate was confirmed across all dispersed phase volume fractions.
- A simple expression relating growth rate to dispersed phase volume fraction was developed.
Conclusions:
- The developed numerical model accurately captures Ostwald ripening at finite dispersed phase volumes.
- The model provides a reliable method for predicting ripening kinetics across a range of concentrations.
- The findings offer insights into the fundamental mechanisms governing Ostwald ripening in practical systems.