A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media

Autor: Tien Dung Le, Christian Moyne, Khaled Bourbatache, Olivier Millet

Publikováno v: Applied Mathematical Modelling
Applied Mathematical Modelling, 2022, 104, pp.666-681. ⟨10.1016/j.apm.2021.12.017⟩

International audience; Macroscopic models for diffusion and heterogeneous reversible reaction of two species in porous media are developed by using coupled homogenization technique and spectral approach. Three representative cases related to the ord

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ef92f353e5d61a2905c1e5d56878101
https://doi.org/10.1016/j.apm.2021.12.017

Solution of two dimensional Stokes flow with elliptical coordinates and its application to permeability of porous media

Autor: M. Hajjam, Mustapha Hellou, Mohamed Khaled Bourbatache, Franck Lominé

Publikováno v: Journal of Applied Mechanics
Journal of Applied Mechanics, American Society of Mechanical Engineers, 2021, 88 (6), pp.1-18. ⟨10.1115/1.4050687⟩
Journal of Applied Mechanics, 2021, 88 (6), pp.1-18. ⟨10.1115/1.4050687⟩

In this paper, analytical developments of the biharmonic equation representing two-dimensional Stokes flow are performed with elliptical coordinates. It is found that the streamfunction is expressed with series expansions based on Gegenbauer polynomi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7db0b6b959ae777bcf3f8aaf5b2fe06c
https://hal.archives-ouvertes.fr/hal-03185096

Determination of geometrical parameters of the microstructure of a porous medium Application to cementitious materials

Autor: Olivier Millet, Fares Bennai, Mohamed Khaled Bourbatache, Abdelkarim Aït-Mokhtar, Chao-Fa Zhao

Publikováno v: International Communications in Heat and Mass Transfer
International Communications in Heat and Mass Transfer, Elsevier, 2020, 117, pp.104786. ⟨10.1016/j.icheatmasstransfer.2020.104786⟩
International Communications in Heat and Mass Transfer, 2020, 117, pp.104786. ⟨10.1016/j.icheatmasstransfer.2020.104786⟩
International Communications in Heat and Mass Transfer, 117:104786. Elsevier

International audience; Mass transfer in porous media is governed, besides the species diffusion coefficient, by the porosity and the geometrical parameters of the materials microstructure. This paper aims at developing a methodology for the determin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b9062842d309f29da2f2f3df0c38bbc
https://hal.archives-ouvertes.fr/hal-02932037

Chloride transfer in cement-based materials. Part 2. Experimental study and numerical simulations

Autor: Ouali Amiri, Abdelkarim Aït-Mokhtar, Olivier Millet, Khaled Bourbatache

Publikováno v: International Journal for Numerical and Analytical Methods in Geomechanics. 37:1628-1641

SUMMARY This second part of the work deals firstly with carrying out materials characterization, mainly mercury intrusion porosimetry and chloride electrodiffusion tests on two cement pastes. Experimental data allowed fixing the perturbation paramete

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::04d438db1ba9b5c919254cce68c616db
https://doi.org/10.1002/nag.2110

Application of the periodic homogenization technique to ionic transfer in cementitious materials

Autor: Olivier Millet, Abdelkarim Aït-Mokhtar, Khaled Bourbatache

Publikováno v: European Journal of Environmental and Civil Engineering. 15:991-1001

In this paper we propose two macroscopic models of ionic transfer in saturated porous media. These models are established by using periodic homogenization technique for two regimes of transfer (weakly or strongly accelerated). For each regime of tran

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4dabc8bb5c47ab345929e5c419caa19d
https://doi.org/10.1080/19648189.2011.9695288