title: Electrokinetic instability near charge-selective hydrophobic surfaces.
abstract: The influence of the texture of a hydrophobic surface on the electro-osmotic slip of the second kind and the electrokinetic instability near charge selective surfaces (permselective membranes, electrodes, or systems of microchannels and nanochannels) is investigated theoretically using a simple model based on the Rubinstein-Zaltzman approach. A simple formula is derived to evaluate the decrease in the instability threshold due to hydrophobicity. The study is complemented by numerical investigations both of linear and nonlinear instabilities near a hydrophobic membrane surface. Theory predicts a significant enhancement of the ion flux to the surface and shows a good qualitative agreement with the available experimental data.
authors.affiliation: Scientific Research Department, Kuban State University, Krasnodar, 350040, Russian Federation.
authors.forename: V S
authors.initials: VS
authors.lastname: Shelistov
authors.affiliation: Department of Computation Mathematics and Computer Science, Kuban State University, Krasnodar, 350040, Russian Federation and Laboratory of General Aeromechanics, Institute of Mechanics, Moscow State University, Moscow, 117192, Russian Federation.
authors.forename: E A
authors.initials: EA
authors.lastname: Demekhin
authors.affiliation: Department of Computation Mathematics and Computer Science, Kuban State University, Krasnodar, 350040, Russian Federation.
authors.forename: G S
authors.initials: GS
authors.lastname: Ganchenko
mesh_terms: D004560:Electricity; D057927:Hydrophobic and Hydrophilic Interactions; D008962:Models, Theoretical; D009038:Motion; D013499:Surface Properties