The effect of pore diffusion on the dissolution of porous mixtures

Cussler, E. L.; Kopinsky, Joel; Weimer, Jay A.

doi:10.1016/0009-2509(83)80106-7

Cited by 14 publications

(12 citation statements)

References 9 publications

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“…These arguments find additional sup port in the results for other chemical sys tems. They successfully predict reprecipi tation in 16 of 17 systems studied to date [Cussler et al, 1983]. They are altered little by nonequilibrium chemical kinetics and are depressed by differences in diffusion coefficients [Kopinsky, 1985].…”

Section: Discussionmentioning

confidence: 99%

“…When a po rous solid in contact with acid is attacked by the acid, it initially dissolves at the sur face. Under some conditions, it may also remineralize just below the surface and de mineralize farther below the surface [Cusslerand Featherstone, 1981], Experimental confirmation of this gen eral theory [Cussler, 1982] for several pure solids in a gel matrix has been reported [Cussler et al, 1983;Kopinsky, 1985], but not for hydroxyapatite or carbonated apa tite, which are more complex chemically than systems such as Ca(OH)2, CaCOy, CaS04 previously studied. In the present study we used each of hydroxyapatite and carbonated apatite gel suspensions as a first step in determining the applicability of the porous solid dissolution pheno menon to these calcium phosphates and perhaps its eventual extension to the disso lution of enamel and dentin by acid.…”

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confidence: 95%

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Subsurface Demineralization in Porous Apatite-Gel Suspensions

Featherstone

Cussler

1987

Caries Res

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Suspensions of hydroxyapatite or carbonated apatite stabilized in gelatin gels were exposed to hydrochloric acid solutions containing calcium and/or phosphate and/or fluoride. Initial apatite dissolution occurred at and near the surface of the gel and partial dissolution took place below the surface. A remineralization band subsequently appeared just below the surface when either Ca or PO₄ was present in excess. A mathematical theory of demineralization of porous solids predicts this behavior for the apatite case.

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Section: Discussionmentioning

confidence: 99%

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confidence: 95%

Subsurface Demineralization in Porous Apatite-Gel Suspensions

Featherstone

Cussler

1987

Caries Res

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“…For the case of a porous solid dissolution, many past studies have investigated this phenomenon. For example, Cussler and Featherstone (1981), Cussler (1982), and Cussler et al (1983) showed that dissolution at the surface of such solids can lead to both precipitation and dissolution in different regions within the solid. Later, Kopinsky et al (1988) extended the above work and examined a system with one dissolution front from a finite-rate perspective and also relaxed some of the assumptions made in the previous studies.…”

Section: Development Of the Modelmentioning

confidence: 99%

Modeling the role of bacteria in leaching of low‐grade ores

Batarseh

Stiller

1994

AIChE Journal

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A robustious structural model is developed to describe the role of bacteria in the leaching process of lo w-grade ores under conditions controlled by intraparticle d vfusion. The main impetus behind developing this model is to provide an insight into such systems, together with a suitable framework for interpreting experimental data. The model is derived in detail with respect to reaction chemistry and the role of bacteria in catalyzing these reactions, specifically the synergism of chemistry, physics and biology in determining the overall behavior of the system. The model is used to simulate the atmospheric oxidation of iron disurfde contained in porous solids in the presence of Thiobacillus ferrooxidans (T. ferrooxidans). The experimental data are predicted well by the model, which demonstrates its applicability and supports the view that the rate of intraparticle dvfusion is the controlling mechanism for this system.

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“…Only in recent years have the importance and applications of flows with precipitation/dissolution reactions been widely recognized. Fogler and Rege (1986) provide a summary of this work to date, and Cussler et al (1983) present an example of precipitation/dissolution in diffusive systems.…”

Section: Introductionmentioning

confidence: 99%

Mineral sequences in precipitation/dissolution waves

1987

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A theory for flow through permeable media with equilibrium precipitation /dissolution interactions is rigorously established. The general solution in terms of waves, which represent the propagation of concentration changes is developed, and the detailed structure of a precipitation / dissolution wave in the presence of dissipation (diffusion and dispersion) is derived; this structure plays a vital role in the general solution. The solution is based on Riemann invariants and thus exhibits certain similarities to wave solutions of related problems in gas dynamics and chromatography. However, a discontinuity peculiar to the precipitation/ dissolution problem prevents unification of these similar solutions into a single, more general theory.

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The effect of pore diffusion on the dissolution of porous mixtures

Cited by 14 publications

References 9 publications

Subsurface Demineralization in Porous Apatite-Gel Suspensions

Subsurface Demineralization in Porous Apatite-Gel Suspensions

Modeling the role of bacteria in leaching of low‐grade ores

Mineral sequences in precipitation/dissolution waves

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