Numerical and Linear Regression Analysis of Slip Effects on Magnetohydrodynamics (MHD) Convective Cu-Water Nanofluid Flow in a Channel with Stretchable Walls

Abstract

This paper is aimed to study the impact of 2nd order velocity and 2nd order thermal slip on the heat transfer flow of hydromagnetic nanofluid through the horizontal channel with stretching walls. The water-based Cu nanoparticle is considered to analyze the heat transfer enhancement. The channel is considered to be fully developed with an incompressible nanofluid. A standard similarity transformation is used to non-dimensionalize and then solved by numerical technique. An admirable agreement has been noticed on correlating the present results with published results in limiting cases. The profiles of velocity and temperature are discussed through plots for various non-dimensional parameters like magnetic parameter radiation parameter (Rd), solid volume fraction (Φ), Prandtl number (Pr) on fluid velocity and temperature profiles. One of the statistical tools, linear regression has been used to analyze the drag coefficient and Nusselt number at the walls (between walls to the fluid) under various slip effects and magnetic force. It is observed that an augmentation in volume fraction lessens the velocity in all the cases (no slip, first and slip of order of two). This study is mainly applicable in nuclear reactors and biomedical applications like nano-drug delivery, cancer therapeutics and, etc.