A numerical simulation of electrically conducting micro-channel nanofluid flow with thermal slip effects

Abstract

This article is concerned with the mixed convective magnetohydrodynamics (MHD) Newtonian nanofluid flow through a porous vertical channel with radiation effects. Copper nanoparticles are considered in the base fluid. An induced magnetic field is retained for the conducting and non-conducting walls of the channel. Momentum and thermal slip boundary conditions are utilized on the channel walls. The heat generation effect is also taken into account for this model. The governing partial differential equations are converted into nonlinear ordinary differential equations using the similarity variables. Numerical results of the transformed nonlinear governing equations are obtained using the shooting method through MATLAB software. The parameters like pressure gradient, radiation parameter, magnetic parameter, Prandtl number, and Reynolds number play a vital role in the heat and fluid flow. It is observed that enhanced impact of pressure gradient declined the velocity profile which affects directly the center of the flow channel. It is also witnessed that the induced magnetism rises when the magnetic Prandtl number gets higher values.