Theory of dissolution and precipitation waves—redux

Masoud Ghaderi Zefreh, Florian Doster, Marc A. Hesse

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Abstract

We present a local equilibrium theory for the reactive transport of two salts that share an anion in an ideal solution. We revisit this classic problem using the theory of hyperbolic partial differential equations accounting for the volume of precipitates. We construct analytical solutions for the 2 × 2 system of conservation laws in the absence of hydrodynamic dispersion. The character of the system depends on the saturation of the salts, that is, whether the fluid is saturated with both, either of the two or none of the salts. We provide a comprehensive analysis of the system and its solution. Each primitive variable, the amount of precipitate and the concentration of ions, remains constant along one class of waves that propagate in the system. The analysis of the system allows identification of seven bifurcations with respect to the intermediate state.
Original languageEnglish
Article numbere16573
JournalAIChE Journal
Volume65
Issue number6
Early online date13 Feb 2019
DOIs
Publication statusPublished - Jun 2019

Keywords

  • dissolution and precipitation
  • nonlinear hyperbolic systems
  • reactive flow

ASJC Scopus subject areas

  • Biotechnology
  • Environmental Engineering
  • Chemical Engineering(all)

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