Mathematical modelling of a mushy region formation during sulphation of calcium carbonate | Zendy

Christos Nikolopoulos | Zendy

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

Author(s) -

Christos Nikolopoulos

Publication year - 2014

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2014.9.635

Subject(s) - calcium carbonate , gypsum , carbonate , boundary (topology) , mechanics , transformation (genetics) , mathematical model , materials science , mathematical analysis , mathematics , physics , chemistry , metallurgy , composite material , biochemistry , statistics , gene

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.

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