Publication de 4 numéros par an
ISSN Imprimer: 2151-4798
ISSN En ligne: 2151-562X
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CRYSTAL PRECIPITATION AND DISSOLUTION IN A POROUS MEDIUM: EVOLVING MICROSTRUCTURE AND PERFORATED SOLID MATRIX
RÉSUMÉ
In this article, we derive an upscaled model for crystal precipitation and dissolution in a saturated porous medium with a perforated solid matrix. We model the solid matrix itself at the pore scale as a porous medium. Hence, we consider at the pore scale a Darcy–Stokes system, where the Beavers–Joseph boundary condition is proposed at the corresponding interface. By asymptotic expansions we derive an upscaled model describing the process via Darcy's law, a transport equation, and corresponding effective coefficients given by the evolution of the microstructure. Weak solvability of the upscaled model is also investigated.
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von Wolff Lars, Pop Iuliu Sorin, Upscaling of a Cahn–Hilliard Navier–Stokes model with precipitation and dissolution in a thin strip, Journal of Fluid Mechanics, 941, 2022. Crossref