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Surface conductivity in electrokinetic systems with porous and charged interfaces: Analytical approximations and numerical results
Author(s) -
Barbati Alexander C.,
Kirby Brian J.
Publication year - 2016
Publication title -
electrophoresis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.666
H-Index - 158
eISSN - 1522-2683
pISSN - 0173-0835
DOI - 10.1002/elps.201500505
Subject(s) - electrokinetic phenomena , conductivity , work (physics) , representation (politics) , surface conductivity , porosity , streaming current , materials science , coupling (piping) , range (aeronautics) , porous medium , thermal conductivity , electrical resistivity and conductivity , mechanics , biological system , voltage , statistical physics , chemistry , physics , thermodynamics , nanotechnology , composite material , quantum mechanics , politics , political science , biology , law
We derive an approximate analytical representation of the conductivity for a 1D system with porous and charged layers grafted onto parallel plates. Our theory improves on prior work by developing approximate analytical expressions applicable over an arbitrary range of potentials, both large and small as compared to the thermal voltage ( R T F ) . Further, we describe these results in a framework of simplifying nondimensional parameters, indicating the relative dominance of various physicochemical processes. We demonstrate the efficacy of our approximate expression with comparisons to numerical representations of the exact analytical conductivity. Finally, we utilize this conductivity expression, in concert with other components of the electrokinetic coupling matrix, to describe the streaming potential and electroviscous effect in systems with porous and charged layers.