TY - JOUR
T1 - Exact solution of an electro-osmotic flow problem in a cylindrical channel of polymer electrolyte membranes
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
SP - 2663
LP - 2679
M3 - 10.1098/rspa.2009.0067
VL - 465
IS - 2109
AU - Berg, Peter
AU - Ladipo, Kehinde
Y1 - 2009/09/08
UR - http://rspa.royalsocietypublishing.org/content/465/2109/2663.abstract
N2 - The electric potential of counter-ions (protons) in an infinite cylindrical channel is presented as a solution of the Poissonâ€“Boltzmann equation, involving a constant ion charge density along the wall. The distribution of protons is derived and used subsequently to compute the velocity profile and mass flow rate of the corresponding electro-osmotic flow, driven by an electric field. Analytical expressions are derived for all quantities, including the conductivity and water drag coefficient. This analysis relates especially to cylindrical nano-channels of polymer electrolyte membranes such as Nafion and addresses the validity of continuum models for these materials.
ER -