Modeling Calcium Alginate Diffusion
Date
2021-05
Authors
Kaufmann, Timothy
Major Professor
Advisor
Schneider, Ian
Committee Member
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Abstract
The purpose of this paper is to analyze two different models for the diffusion of calcium chloride crosslinker into alginate hydrogel. A model was created in MATLAB using PDE toolbox and another model was created using a semi-infinite domain approximation. It is assumed in both models that no reaction is taking place. Opacity data from a 10 hr. diffusion experiment was manipulated and fit to the models to determine the diffusion coefficient. The diffusion coefficients obtained from the MATLAB and error function models are 0.000621 cm^2/min and 0.000915 cm^2/min respectively. Based on the results the semi-infinite domain models the data better at radiuses less than 0.6 cm. However, at radiuses larger than 0.6 cm the PDE toolbox model is a better fit. Further testing of this model is necessary, it is also recommended that the system be modeled without the no reactions assumption to see how it compares to the data.
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