Article Contents
Article Contents

# Mathematical modelling of a mushy region formation during sulphation of calcium carbonate

• The subject of the present paper is the derivation and asymptotic analysis of a mathematical model for the formation of a mushy region during sulphation of calcium carbonate. The model is derived by averaging, with the use of the multiple scales method, applied on microscopic moving - boundary problems. The latter problems describe the transformation of calcium carbonate into gypsum on the microscopic scale. The derived macroscopic model is solved numerically with the use of a finite element method. The results of some simulations and a relevant discussion are also presented.
Mathematics Subject Classification: Primary: 35Q92, 35R37; Secondary: 35K57, 74G10, 74S05.

 Citation:

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