Interface conditions for fast-reaction fronts in wet porous mineral materials: the case of concrete carbonation

Muntean, Adrian; Böhm, Michael

doi:10.1007/s10665-009-9295-x

Cited by 8 publications

(3 citation statements)

References 28 publications

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“…It can be encountered, for example, in crystal precipitation and dissolution (see e.g. [8,10,21,22,23]), atomic layer deposition [14], chemical vapor deposition [26] and etching in a heterogenous surface [31,32], concrete carbonation [18,19], or biological applications such as biofilm growth [25] and thrombosis [33].…”

Section: Introductionmentioning

confidence: 99%

Effective Dispersion Equations for Reactive Flows Involving Free Boundaries at the Microscale

Kumar¹,

Noorden²,

Pop³

2011

Multiscale Model. Simul.

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We consider a pore-scale model for reactive flow in a thin 2-D strip, where the convective transport dominates the diffusion. Reactions take place at the lateral boundaries of the strip (the walls), where the reaction product can deposit in a layer with a non-negligible thickness compared to the width of the strip. This leads to a free boundary problem, in which the moving interface between the fluid and the deposited (solid) layer is explicitly taken into account. Using asymptotic expansion methods, we derive an upscaled, one-dimensional model by averaging in the transversal direction. The result is consistent with (Taylor dispersion) models obtained previously for a constant geometry. Finally, numerical computations are presented to compare the outcome of the effective (upscaled) model with the transversally averaged, two dimensional solution.

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Section: Introductionmentioning

confidence: 99%

Effective Dispersion Equations for Reactive Flows Involving Free Boundaries at the Microscale

Kumar¹,

Noorden²,

Pop³

2011

Multiscale Model. Simul.

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“…X indicates the depth of the carbonated layer in mm, t is the time in days and k is the constant ranging from 0.2 to 0.4 (depending on the cement type and the water ratio v/c). It is apparent that the carbonation depth will be, according to the measurements carried out on the standard samples, partially dependent on the quality of concrete (Muntean and Bohm 2009;Roziere et al 2009). It is also interesting that the increase of carbonation depth calculated according to the Fick's law (Matoušek and Drochytka 1998) is roughly corresponding to the carbonation depths found out in poor quality concretes in the course of the one-year measurement.…”

Section: Methodsmentioning

confidence: 99%

Accelerated Carbonation Depth Test in an Atmosphere of 98% CO₂

Stehlík

2011

Statybinės Konstrukcijos ir Technologijos

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The action of atmospheric carbon dioxide is one of the agents which substantially reduce the durability of concrete structures. Th is so called carbonation is one of the corrosive processes influencing properties of mature concrete. It is caused by a chemical reaction of carbon dioxide infiltrating into the surface of a concrete construction with the minerals of cementing compound. The eff ect of carbonation can be evaluated by means of the “accelerated carbonation depth test in 98% CO2”. The principle of this method consists in finding a correlation dependence of “depth (or time) of carbonation in the natural environment / depth (or time) of carbonation in the accelerated test”. The theoretical carbonation depth of common concrete placed in the natural environment of 0.03% CO2 for a long time can be determined from the Fick’s law. The actual carbonation depth of common concrete placed in 98% CO2 can be determined by a simple phenolphthalein test on fresh fragments of standard concrete samples. The correlation dependence found in the so-called “accelerated test” enables us to determine intervals of real time in the natural environment of 0.03% CO2corresponding to the intervals of accelerated exposition in 98% CO2.

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“…(Q) has been recently addressed, for instance, in [20,24,2,23,22,3,21], and [25], where the authors indicate that the answer to (Q) seem to be rather well understood in one-space dimension. However, the 2D and 3D cases are comparatively untouched.…”

Section: Introductionmentioning

confidence: 99%

Single and Two-Scale Sharp-Interface Models for Concrete Carbonation---Asymptotics and Numerical Approximation

Evans¹,

Fernández²,

Muntean³

2012

Multiscale Model. Simul.

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We investigate the fast-reaction asymptotics for a one-dimensional reactiondiffusion (RD) system describing the penetration of the carbonation reaction in concrete. The technique of matched-asymptotics is used to show that the RD system leads to two distinct classes of sharp-interface models, that correspond to different scalings in a small parameter ǫ representing the fast-reaction. Here ǫ is the ratio between the characteristic scale of the diffusion of the fastest species and the one of the carbonation reaction. We explore three conceptually different scaling regimes (in terms of ǫ) of the effective diffusivities of the driving chemical species. The limiting models include one-phase and two-phase generalised Stefan moving-boundary problems as well as a nonstandard two-scale (micro-macro) moving-boundary problem -the main result of the paper. Numerical results, supporting the asymptotics, illustrate the behavior of the concentration profiles for relevant parameter regimes.

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Interface conditions for fast-reaction fronts in wet porous mineral materials: the case of concrete carbonation

Cited by 8 publications

References 28 publications

Effective Dispersion Equations for Reactive Flows Involving Free Boundaries at the Microscale

Effective Dispersion Equations for Reactive Flows Involving Free Boundaries at the Microscale

Accelerated Carbonation Depth Test in an Atmosphere of 98% CO₂

Single and Two-Scale Sharp-Interface Models for Concrete Carbonation---Asymptotics and Numerical Approximation

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Interface conditions for fast-reaction fronts in wet porous mineral materials: the case of concrete carbonation

Cited by 8 publications

References 28 publications

Effective Dispersion Equations for Reactive Flows Involving Free Boundaries at the Microscale

Effective Dispersion Equations for Reactive Flows Involving Free Boundaries at the Microscale

Accelerated Carbonation Depth Test in an Atmosphere of 98% CO2

Single and Two-Scale Sharp-Interface Models for Concrete Carbonation---Asymptotics and Numerical Approximation

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Product

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Accelerated Carbonation Depth Test in an Atmosphere of 98% CO₂