Role of non-ideality for the ion transport in porous media: Derivation of the macroscopic equations using upscaling
暂无分享,去创建一个
Andro Mikelic | Andrey L. Piatnitski | Robert Brizzi | Andrey Piatnitski | G. Allaire | A. Mikelić | R. Brizzi | J. Dufrêche | Gregoire Allaire | Jean-Francois Dufreche
[1] Derek Y. C. Chan,et al. The drainage of thin liquid films between solid surfaces , 1985 .
[2] L. Blum,et al. Mean spherical model for asymmetric electrolytes , 1975 .
[3] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[4] Olivier Bernard,et al. Conductance in electrolyte solutions using the mean spherical approximation , 1992 .
[5] J. Dufrêche,et al. Mutual diffusion coefficient of charged particles in the solvent-fixed frame of reference from Brownian dynamics simulation , 2002 .
[6] Robert Lipton,et al. Darcy's law for slow viscous flow past a stationary array of bubbles , 1990 .
[7] Jason R. Looker,et al. Homogenization of the Ionic Transport Equations in Periodic Porous Media , 2006 .
[8] Jason R. Looker,et al. Semilinear elliptic Neumann problems with rapid growth in the nonlinearity , 2006, Bulletin of the Australian Mathematical Society.
[9] U. Hornung. Homogenization and porous media , 1996 .
[10] L. Blum,et al. Mean spherical model for asymmetric electrolytes. 2. Thermodynamic properties and the pair correlation function , 1977 .
[11] Márcio A. Murad,et al. Electro-chemo-mechanical couplings in swelling clays derived from a micro/macro-homogenization procedure , 2002 .
[12] J. Auriault,et al. On the electro-osmotic flow in a saturated porous medium , 1981 .
[13] M. Murad,et al. Macroscopic Behavior of Swelling Porous Media Derived from Micromechanical Analysis , 2003 .
[14] Rémi Joubaud. Modélisation mathématique et numérique des fluides à l’échelle nanométrique , 2012 .
[15] Grégoire Allaire,et al. One-phase Newtonian flow , 1996 .
[16] Andrey L. Piatnitski,et al. Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients , 2013, Computational Geosciences.
[17] Peter Knabner,et al. Rigorous homogenization of a Stokes–Nernst–Planck–Poisson system , 2012 .
[18] M. Murad,et al. A Two-Scale Model for Coupled Electro-Chemo-Mechanical Phenomena and Onsager’s Reciprocity Relations in Expansive Clays: II Computational Validation , 2006 .
[19] G. Nguetseng. A general convergence result for a functional related to the theory of homogenization , 1989 .
[20] J. Davenport. Editor , 1960 .
[21] P. Adler,et al. Electroosmosis in porous solids for high zeta potentials. , 2006, Journal of colloid and interface science.
[22] M. Shimizu. [Electrolyte solutions]. , 2019, [Kango] Japanese journal of nursing.
[23] J. Dufrêche,et al. Molecular hydrodynamics for electro-osmosis in clays: from Kubo to Smoluchowski , 2005 .
[24] P. Adler,et al. Effective medium approximation and exact formulae for electrokinetic phenomena in porous media , 2003 .
[25] Antje Sommer,et al. Theory Of Simple Liquids , 2016 .
[26] P. Adler. Macroscopic Electroosmotic Coupling Coefficient in Random Porous Media , 2001 .
[27] B. Rotenberg,et al. Electrokinetics: insights from simulation on the microscopic scale , 2013 .
[28] George Em Karniadakis,et al. MICROFLOWS AND NANOFLOWS , 2005 .
[29] W. Ebeling,et al. Conductance theory of concentrated electrolytes in an MSA-type approximation , 1981 .
[30] Andro Mikelic,et al. Asymptotic analysis of the Poisson–Boltzmann equation describing electrokinetics in porous media , 2012, 1212.3720.
[31] J. Dufrêche,et al. Transport equations for concentrated electrolyte solutions: Reference frame, mutual diffusion , 2002 .
[32] Jacques-Louis Lions,et al. Some Methods in the Mathematical Analysis of Systems and Their Control , 1981 .
[33] J. Deconinck,et al. Relaxation effect on the Onsager coefficients of mixed strong electrolytes in the mean spherical approximation. , 2007, The journal of physical chemistry. B.
[34] R. Goldbery,et al. SEDCODE: a FORTRAN 77 program for decoding sedimentological field data , 1984 .
[35] Andrey L. Piatnitski,et al. Erratum: “Homogenization of the linearized ionic transport equations in rigid periodic porous media” [J. Math. Phys.51, 123103 (2010)] , 2011 .
[36] P. Adler,et al. Coupled Transports in Heterogeneous Media , 2001 .
[37] B. B. Owen,et al. The Physical Chemistry of Electrolytic Solutions , 1963 .
[38] G. Karniadakis,et al. Microflows and Nanoflows: Fundamentals and Simulation , 2001 .
[39] M. Murad,et al. A dual-porosity model for ionic solute transport in expansive clays , 2008 .
[40] Peter Knabner,et al. Variable choices of scaling in the homogenization of a Nernst-Planck-Poisson problem , 2011 .
[41] E. S. Palencia. Non-Homogeneous Media and Vibration Theory , 1980 .
[42] P. Adler,et al. Electrokinetic phenomena in saturated compact clays. , 2006, Journal of colloid and interface science.
[43] J. Dufrêche,et al. Analytical theories of transport in concentrated electrolyte solutions from the MSA. , 2005, The journal of physical chemistry. B.
[44] Márcio A. Murad,et al. A Two-Scale Model for Coupled Electro-Chemo-Mechanical Phenomena and Onsager’s Reciprocity Relations in Expansive Clays: I Homogenization Analysis , 2006 .
[45] D. Edwards. Charge transport through a spatially periodic porous medium : electrokinetic and convective dispersion phenomena , 1995, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.
[46] R. Temam,et al. Analyse convexe et problèmes variationnels , 1974 .
[47] G. Allaire. Homogenization and two-scale convergence , 1992 .
[48] Grégoire Allaire,et al. Homogenization of the linearized ionic transport equations in rigid periodic porous media , 2010 .
[49] J. Thovert,et al. Electroosmotic Phenomena in Porous Media , 1996 .
[50] Alexandre Ern,et al. Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes , 2012 .
[51] B. Rotenberg,et al. Salt exclusion in charged porous media: a coarse-graining strategy in the case of montmorillonite clays. , 2009, Physical chemistry chemical physics : PCCP.
[52] B. Bagchi,et al. Ionic self-diffusion in concentrated aqueous electrolyte solutions. , 2002, Physical review letters.
[53] Markus Schmuck,et al. Modeling and deriving porous media Stokes-Poisson-Nernst-Planck equations by a multi-scale approach , 2011 .
[54] P. Mazur,et al. Non-equilibrium thermodynamics, , 1963 .
[55] J. Dufrêche,et al. Equilibrium and electrokinetic phenomena in charged porous media from microscopic and mesoscopic models: electro-osmosis in montmorillonite , 2003 .
[56] Lee R. White,et al. Electrophoretic mobility of a spherical colloidal particle , 1978 .