Diffusion-controlled dissolution of a binary solid into a ternary liquid with partially molten zone formation

Hatton, D. C. and Woods, A. W. (2008) Diffusion-controlled dissolution of a binary solid into a ternary liquid with partially molten zone formation. Proceedings of the Royal Society A, 464 (2094). pp. 1615-1637. DOI https://doi.org/10.1098/rspa.2007.0241

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Abstract

We build a theoretical model of equilibrium dissolution of a homogeneous, solid mixture of two salts A and B, KCl and NaCl being used as the type example, into an aqueous solution of the two salts, with diffusive transport. We find that there are two sharp dissolution fronts, separating fluid, a partially molten zone containing a single solid and mixed solid. The phase change happens almost entirely at the two sharp fronts. In equilibrium, the leading front exhibits a small amount of precipitation of NaCl, simultaneous with complete dissolution of KCl. There is a unique surface in the space of far-field fluid KCl concentration, far-field fluid NaCl concentration and solid composition, dividing conditions where NaCl is the solid in the partially molten zone, from conditions where KCl is the solid in the partially molten zone. The movement rates of the dissolution fronts decrease as the concentration of either salt in the far-field fluid is increased. The movement rates of the dissolution fronts increase as either far-field temperature is increased, but this effect is smaller than that of concentration. In most circumstances, the dissolution front for a given salt moves more slowly, the more of that salt is present in the original solid, although the mass dissolution rate is not greatly affected by the solid composition.

Item Type:	Article
Uncontrolled Keywords:	08AREP; IA55; 2008 P; BPI
Subjects:	01 - Climate Change and Earth-Ocean Atmosphere Systems 02 - Geodynamics, Geophysics and Tectonics
Divisions:	02 - Geodynamics, Geophysics and Tectonics
Journal or Publication Title:	Proceedings of the Royal Society A
Volume:	464
Page Range:	pp. 1615-1637
Identification Number:	https://doi.org/10.1098/rspa.2007.0241
Depositing User:	Sarah Humbert
Date Deposited:	16 Feb 2009 13:02
Last Modified:	23 Jul 2013 10:07
URI:	http://eprints.esc.cam.ac.uk/id/eprint/364

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