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From micro-scale to macro-scale modeling of solute transport in drying capillary porous media

Ahmad, Faeez and Rahimi, Arman and Tsotsas, Evangelos and Prat, Marc and Kharaghani, Abdolreza From micro-scale to macro-scale modeling of solute transport in drying capillary porous media. (2021) International Journal of Heat and Mass Transfer, 165 (Part B). 120722. ISSN 0017-9310

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Official URL: https://doi.org/10.1016/j.ijheatmasstransfer.2020.120722

Abstract

Drying of capillary porous media initially saturated with saline water is central to many engineering and environmental applications. In order to predict the evolution of solute concentration in a porous medium, the macroscopic continuum models (CMs) are commonly employed. However, the predictive aptitudes of the CMs have been questioned. In this work, we solve the classical advection-diffusion equation for so- lute transport in an isothermally drying capillary porous medium for the limiting condition of capillary- dominated regime. The solution of the continuum model is compared with pore network simulations. The results of both models are analyzed in terms of local solute concentration profiles for different val- ues of network saturation. On this basis, the ability of the continuum model to reciprocate the pore network results is assessed. The degree of heterogeneity in the liquid phase structure is characterized by performing pore network Monte Carlo simulations distinguishing the percolating liquid cluster from the non-percolating isolated clusters. Based on the statistical analysis of Monte Carlo simulations, the prob- ability of first solid crystals to appear in the respective liquid phase elements is discussed. We observe that solute enrichment is more pronounced in the isolated single liquid throats and isolated clusters due to lack or significant hindrance to back-diffusion as a result of discontinuity in the liquid phase.

Item Type:Article
HAL Id:hal-03414125
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Otto Von Guericke Universität Magdeburg - OVGU (GERMANY)
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Deposited On:03 Nov 2021 15:04

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