Dynamics of electrochemical flows 3 Closure models

The electrolyte (comprising of solute ions and solvents) flow-through the porous media is frequently encountered in nature or in many engineering applications, such as the electrochemical systems, manufacturing of composites, oil production, geothermal engineering, nuclear thermal disposal, soil pollution. Our previous work derived the interfacial interaction terms between the solid and the fluid, which can be used to investigate the details of transports of mass, heat, electric flied, potential, or momentum in the process of the electrochemical flows-through porous electrode. In this work, we establish the closure models for these interfacial interaction terms to close the governing equations from mathematical algebra. The interfacial interaction terms regard to the electric field, potential and electric force are firstly revealed. Our new theory provides a new approach to describe the electrochemical flows-through porous media.

[1]  Ralph E. White,et al.  Review of Models for Predicting the Cycling Performance of Lithium Ion Batteries , 2006 .

[2]  John Newman,et al.  Electrochemical Systems, 3rd Edition , 2004 .

[3]  Ralph E. White,et al.  Mathematical modeling of lithium-ion and nickel battery systems , 2002 .

[4]  Chin Tsau Hsu,et al.  A closure model for transient heat conduction in porous media , 1999 .

[5]  P. Cheng,et al.  On pressure-velocity correlation of steady and oscillating flows in regenerators made of wire screens , 1999 .

[6]  Chin Tsau Hsu,et al.  Modified Zehner-Schlunder models for stagnant thermal conductivity of porous media , 1994 .

[7]  Ralph E. White,et al.  A water and heat management model for proton-exchange-membrane fuel cells , 1993 .

[8]  D. A. Edwards,et al.  Dispersion of inert solutes in spatially periodic, two-dimensional model porous media , 1991 .

[9]  P. Cheng,et al.  Thermal dispersion in a porous medium , 1990 .

[10]  P. Legentilhomme,et al.  Axial dispersion in electrolyte flow through anisotropic packed beds , 1989 .

[11]  John F. Brady,et al.  Dispersion in fixed beds , 1985, Journal of Fluid Mechanics.

[12]  Stephen Whitaker,et al.  Heat conduction in multiphase systems—I: Theory and experiment for two-phase systems , 1985 .

[13]  若尾 法昭,et al.  Heat and mass transfer in packed beds , 1982 .

[14]  R. Alkire,et al.  Flow‐Through Porous Electrodes , 1975 .

[15]  J. Newman,et al.  Porous‐electrode theory with battery applications , 1975 .

[16]  J. Bear.  Dynamics of Fluids in Porous Media , 1975 .

[17]  K. Daizo,et al.  Particle-to-fluid heat and mass transfer in packed beds of fine particles , 1967 .