Thin film modeling of crystal dissolution and growth in confinement

Luca Gagliardi and Olivier Pierre-Louis
Phys. Rev. E 97, 012802 – Published 26 January 2018

Abstract

We present a continuum model describing dissolution and growth of a crystal contact confined against a substrate. Diffusion and hydrodynamics in the liquid film separating the crystal and the substrate are modeled within the lubrication approximation. The model also accounts for the disjoining pressure and surface tension. Within this framework, we obtain evolution equations which govern the nonequilibrium dynamics of the crystal interface. Based on this model, we explore the problem of dissolution under an external load, known as pressure solution. We find that in steady state, diverging (power-law) crystal-surface repulsions lead to flat contacts with a monotonic increase of the dissolution rate as a function of the load. Forces induced by viscous dissipation then surpass those due to disjoining pressure at large enough loads. In contrast, finite repulsions (exponential) lead to sharp pointy contacts with a dissolution rate independent of the load and the liquid viscosity. Ultimately, in steady state, the crystal never touches the substrate when pressed against it. This result is independent from the nature of the crystal-surface interaction due to the combined effects of viscosity and surface tension.

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  • Received 12 September 2017

DOI:https://doi.org/10.1103/PhysRevE.97.012802

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsNonlinear DynamicsFluid DynamicsInterdisciplinary Physics

Authors & Affiliations

Luca Gagliardi* and Olivier Pierre-Louis

  • CNRS, ILM Institut Lumière Matière, Université Claude Bernard Lyon 1 Campus LyonTech–La Doua Batiment Brillouin, 10 rue Ada Byron, F-69622 Villeurbanne, France

  • *luca.gagliardi@univ-lyon1.fr
  • olivier.pierre-louis@univ-lyon1.fr

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Issue

Vol. 97, Iss. 1 — January 2018

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