Ashkan Gharib
Title :
Mathematical Modeling of Calcium Carbonate Clogging in Capillaries
Abstract :
A system with initially separated ionic components that can form a solid precipitate is an
important system especially in micro-reactor design and performance. The system we
model consists of two reservoirs and one connecting capillary. The reservoirs contain
electrolytes of a particular composition: a solution of calcium chloride and a solution of
sodium carbonate, respectively. As the calcium and carbonate ions diffuse under the
influence of electric field, calcium carbonate is formed in the capillary. The dissociation
reactions of the carbonic acid, bicarbonate and water can also occur therein. The dynamics
are described by two-dimensional reaction-diffusion equations. These equations are
numerically solved using the finite volume method. The results of such a simulation will be
shown.
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