In this paper, a local non-equilibrium diffuseudinterface model is introduced for describing solid–udliquid dissolution problems. The model is developedudbased on the analysis of Golfier et al. (J Fluid Mechud457:213–254,2002) upon the dissolution of a porousuddomain, with the additional requirement that densityudvariations with the mass fraction are taken into account.udThe control equations are generated by the upscalingudof the balance equations for a solid–liquid dissolutionudusing a volume averaging theory. This results into auddiffuse interface model(DIM) that does not require anudexplicit treatment of the dissolving interface, e.g., theuduse of arbitrary Lagrangian–Eulerian (ALE) methods,udfor instance. Test cases were performed to study theudfeatures and influences of the effective coefficients in-side the DIM. In particular, an optimum expression forudthe solid–liquid exchange coefficient is obtained fromuda comparison with the referenced solution by ALE simulations. Finally, a Ra–Pe diagram illustrates theudinteraction of natural convection and forced convectionudin the dissolution problem.
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