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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 12: Topics on Homogenization
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Original Articles

Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore

Catherine Choquet Faculté des Sciences et Techniques de Saint-Jérôme, Université P. Cézanne, Marseille, France
&
Andro Mikelić Université de Lyon, Lyon, Lyon, F-69003, France; Université de Lyon 1, Institut Camille Jordan, Jordan, Lyon, FranceCorrespondence[email protected]
Pages 1373-1395 | Received 28 Mar 2008, Accepted 29 Mar 2008, Published online: 21 Sep 2010

Citations (13)

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Grégoire Allaire & Harsha Hutridurga. (2016) Upscaling nonlinear adsorption in periodic porous media – homogenization approach. Applicable Analysis 95:10, pages 2126-2161.
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Articles from other publishers (12)

Raphael Schulz, Stephan Gärttner & Nadja Ray. (2023) Investigations of effective dispersion models for electroosmotic flow with rigid and free boundaries in a thin strip. Mathematical Methods in the Applied Sciences 47:1, pages 206-228.
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Nadja Ray & Raphael Schulz. (2019) Derivation of an effective dispersion model for electro-osmotic flow involving free boundaries in a thin strip. Journal of Engineering Mathematics 119:1, pages 167-197.
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Guglielmo Scovazzi, Mary F. Wheeler, Andro Mikelić & Sanghyun Lee. (2017) Analytical and variational numerical methods for unstable miscible displacement flows in porous media. Journal of Computational Physics 335, pages 444-496.
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I. Yucel Akkutlu, Yalchin Efendiev & Viktoria Savatorova. (2014) Multi-scale Asymptotic Analysis of Gas Transport in Shale Matrix. Transport in Porous Media 107:1, pages 235-260.
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Sibusiso Mabuza, Dmitri Kuzmin, Sunčica Čanić & Martina Bukač. (2014) A conservative, positivity preserving scheme for reactive solute transport problems in moving domains. Journal of Computational Physics 276, pages 563-595.
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Catherine Choquet & Carole Rosier. (2014) Effective models for reactive flow under a dominant Péclet number and order one Damköhler number: Numerical simulations. Nonlinear Analysis: Real World Applications 15, pages 345-360.
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ANDRO MIKELIĆ & C. J. VAN DUIJN. (2011) RIGOROUS DERIVATION OF A HYPERBOLIC MODEL FOR TAYLOR DISPERSION. Mathematical Models and Methods in Applied Sciences 21:05, pages 1095-1120.
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K. Kumar, T. L. van Noorden & I. S. Pop. (2011) Effective Dispersion Equations for Reactive Flows Involving Free Boundaries at the Microscale. Multiscale Modeling & Simulation 9:1, pages 29-58.
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Grégoire Allaire, Robert Brizzi, Andro Mikelić & Andrey Piatnitski. (2010) Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media. Chemical Engineering Science 65:7, pages 2292-2300.
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Grégoire Allaire, Andro Mikelić & Andrey Piatnitski. (2010) Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media. SIAM Journal on Mathematical Analysis 42:1, pages 125-144.
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Catherine Choquet & Andro Mikelić. (2009) Rigorous upscaling of the reactive flow with finite kinetics and under dominant Péclet number. Continuum Mechanics and Thermodynamics 21:2, pages 125-140.
Crossref
C.J. van Duijn, Andro Mikelić, I.S. Pop & Carole Rosier. 2008. Advances in Chemical Engineering - Mathematics in Chemical Kinetics and Engineering. Advances in Chemical Engineering - Mathematics in Chemical Kinetics and Engineering 1 45 .

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