MHD Nanofluid Flow with Slip conditions over an Inclined Non-linear Stretching Surface in Porous Media

Abstract

This research analyses the behaviour of a magnetohydrodynamic nanofluid flowing across an inclined surface that stretched in a non-linear fashion. The fluid's motion is constrained by a porous matrix, and interfacial phenomena are captured by thermal and velocity slip models. The study utilizes similarity variables to reduce the partial differential equations to a system of dimensionless ordinary differential equations. The numerical solution is achieved through the Keller-box technique. The analysis reveals the complex influence of various factors, including the thermal slip factor, stretching factor, permeability factor, thermophoresis, velocity slip factor, magnetic field strength and Brownian motion factor. The temperature and concentration along with velocity profiles inside the fluid domain are substantially impacted by these factors. The findings indicates that higher inclination angles enhance both concentration and temperature, while simultaneously diminishing the velocity profile. An increase in permeability enhances fluid mobility by lowering flow resistance, leading to higher thermal conductivity. Both concentration and temperature trajectories demonstrate a pronounced upward trend with increasing magnetic field strength, while fluid velocity experiences a decline. Furthermore, a higher velocity slip value leads to a rise in the heat transmission rate, while skin friction and the rate of mass transport experiences a decrease.