Theory of dissolution and precipitation waves—redux

Masoud Ghaderi Zefreh; Florian Doster; Marc A. Hesse

doi:10.1002/aic.16573

Theory of dissolution and precipitation waves—redux

Masoud Ghaderi Zefreh, Florian Doster, Marc A. Hesse

School of Energy, Geoscience, Infrastructure and Society

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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 language	English
Article number	e16573
Journal	AIChE Journal
Volume	65
Issue number	6
Early online date	13 Feb 2019
DOIs	https://doi.org/10.1002/aic.16573
Publication status	Published - 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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10.1002/aic.16573

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This is the peer reviewed version of the following article: Ghaderi Zefreh M, Doster F, Hesse MA. Theory of dissolution and precipitation waves—redux. AIChE J. 2019;e16573, which has been published in final form at https://doi.org/10.1002/aic.16573 This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
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Theory of dissolution and precipitation waves—redux

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