Nonlinear Mixed Convective Magnetized Flow of Electrokinetically-controlled Fluid With Variable Thermal Conductivity in a Superhydrophobic Microchannel

Numerical and analytical solutions are derived for non-linear mixed convective heat-generating/absorbing flow with variable thermal conductivity in a slit microchannel exhibiting super-hydrophobic slip and temperature jump, making use of an implicit finite difference scheme and the theory of simultaneous ordinary differential equations, following the transformation of the governing equation from dimensional to non-dimensional form. The heat transfer rate and shear stress were ascertained by differentiating the analytical solution. The Debye-Hückel parameter, Non-linearity Density with Temperature (NDT), magnetohydrodynamics (MHD), and the heat generation/absorption parameter are key flow-controlling factors illustrated visually. The temperature and velocity fields are also presented. The investigations demonstrated that a slight increase in the Hartman number generates the Lorentz force, which streamlines the velocity boundary layer and decelerates the flow. nevertheless the velocity profile enhanced for both the slip and no-slip conditions as time progressed. It was demonstrated that velocity and flow rate increase with non-linear density variations due to temperature changes. The Debye-Hückel parameter is noted to improve fluid flow in both slip and non-slip conditions. Robust concordance was seen when the results were put into perspective with previously published investigations.