Mathematical Modeling and Applications for Concrete Carbonation

On the numerical solution of a mathematical model for the concrete carbonation with a non-uniform diffusivity coefficient

“…Thus, there are two cases; a first case considers the diffusivity coefficient uniform or constant, namely D(c) = D c as shown in equation (4.3) and a second case occurs when D(c) depends on an Arrheniustype relation which lead to equation (3.2). In addition, these two earlier cases can be investigated in onedimension [3,9,8] which can be expressed as…”

“…The layout of the paper is the following; in section 2, a mathematical formulation of the concentration of CO 2 in the concrete is formulated; in section 3, a nondimensionalization of the model regarding an diffusivity coefficient either constant or non-uniform is carried out; in section 4, data presented in [9] are used to determine the reaction coefficient in the model. In section 5, the numerical schemes for finitevolume and finite-difference are explained and the procedure to perform the numerical computation by the OpenFOAM solver on region of concrete is mentioned; in section 6, the results obtained in the computations are shown to highlight the influence of a non-uniform diffusivity coefficient in the mathematical model.…”

Carbon Dioxide Uptake Estimation for Spanish Cement-Based Materials

“…Although many kinetic models have been developed for depicting carbonation [35][36][37][38][39][40], in most of them carbonation proceeds by diffusion according to Fick's second law of diffusion. For instance, Equation (1) is a solution to Fick's second law considering moving boundaries [41], where it is assumed that the chemical reaction between carbon dioxide, calcium phases (Ca 2+ ), and water (H 2 O) generates an immobile reaction product, calcium carbonate (CaCO 3 ) [41].…”

Reactive transport numerical modeling of mortar carbonation: Atmospheric and accelerated carbonation

“…Some relevant mathematical modelings can be addressed in [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] and lately in [22] for the short term carbonation and long term carbonation [23]. Basically, mathematical modeling of the carbonation can be categorized as below:…”