IONIC TRANSITION OF ELECTROVISCOUS BOUNDARY LAYER FLOW WITH THE ANALYSIS OF MAXWELL AND NERNST-PLANCK EQUATION

Abstract

The aim of the present study is to explore a numerical model for an ionic transition of boundary layer electroviscous fluid flow over a spinning disc. For the purpose, the Nernst-Planck, Maxwell and Poisson’s equations are coupled and simulated with the Navier Stokes equation for the ionic species conservation. The basic equations of the electroviscous boundary layer flow are diminished to an ordinary dimensionless system of differential equations. The Matlab built-in package bvp5c has been implemented for the numerical outcomes of the transform equations. The outputs are compared to the existing literature, which seemed to be in good agreement with each other, to ensure that the results are accurate. It has been presumed that the action of Debye length coefficient reduces the potential gradient and exposes an excess number of ions to the flow field, which causes an enhancement in the fluid velocity. The consequences of physical constraints on velocity as well as negative and positive charge profiles are drawn and briefly addressed.