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

Christos V. Nikolopoulos

doi:10.3934/nhm.2014.9.635

Article Contents

2014, Volume 9, Issue 4: 635-654. Doi: 10.3934/nhm.2014.9.635

This issue Previous Article Symmetry and positive definiteness of the tensor-valued spring constant derived from P1-FEM for the equations of linear elasticity Next Article A one dimensional free boundary problem for adsorption phenomena

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

Christos V. Nikolopoulos^1,

1.
Department of Mathematics, University of the Aegean, GR-832 00 Karlovassi, Samos

Received: February 28, 2014

Revised: August 31, 2014

Published: November 2014

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Abstract

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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Mathematics Subject Classification: Primary: 35Q92, 35R37; Secondary: 35K57, 74G10, 74S05.

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