Analytical solution of an electrokinetic flow in a nano-channel with variable physical properties

Abstract

In this paper, an electrokinetic flow of a water electrolyte in a nano-channel will be studied. This study will be with existence of the Electric Double Layer (EDL) and fully analytical. Governing equation for the EDL is Poisson-Boltzmann. In addition, Navier-Stokes equations for electrolyte flow, Species and mass conservation equations are in use. Induced electric potential force the electrolyte ions and decrease the mass flow rate. In this paper, effect of temperature rise on the physical properties and consequently, on the velocity and potential distribution will be investigated.