Single and two-scale sharp-interface models for concrete carbonation -- Asymptotics and numerical approximation

Details Single and two-scale sharp-interface models for concrete carbonation -- Asymptotics and numerical approximation Single and two-scale sharp-interface models for concrete carbonation -- Asymptotics and numerical approximation

2011-12-21

arxiv.org/abs/1112.6314v1

Physics

Condensed Matter

Materials Science

35 pages, 13 figures

Scientific paper

We investigate the fast-reaction asymptotics for a one-dimensional reaction-diffusion (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 \epsilon representing the fast-reaction. Here \epsilon 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 \epsilon) 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.

Affiliated with

Also associated with

No associations

Rating

Single and two-scale sharp-interface models for concrete carbonation -- Asymptotics and numerical approximation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Single and two-scale sharp-interface models for concrete carbonation -- Asymptotics and numerical approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Single and two-scale sharp-interface models for concrete carbonation -- Asymptotics and numerical approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-193822