IMPULSION OF SPACE AND TEMPERATURE DEPENDENT INTERNAL HEAT GENERATION/ABSORPTION ON MHD BOUNDARY LAYER SLIP FLOW OF A NANOFLUID OVER A MOVING PLATE WITH INDUCED MAGNETIC FIELD

The goal of this article is to investigate the combined effects of space and temperature dependent internal heat generation/absorption (non-uniform heat source/sink) on MHD heat transfer flow of an incompressible, viscous and electrically conducting water based nanofluid under the influence of slip over a moving plate with the effect of induced magnetic field. A scaling group of transformation is used to reduce the governing non-linear partial differential equations into a set of non-dimensional ordinary differential equations. The transformed system of differential equations is solved numerically, employing the Spectral relaxation method (SRM) via MATLAB R2018a software. SRM is a simple iteration scheme that does not require any evaluation of derivatives, perturbation, and linearization for solving a non-linear systems of equations. The solutions for the flow and heat transfer characteristics are evaluated numerically for various values of the embedded parameters respectively on motion, induced magnetic field and heat transfer properties are explored through graphs and tables and discussed in details. The skin-friction coefficient and heat transfer rate have also been studied. Three different types of nanoparticles considered are Cu, Ag and TiO2 by using water-based fluid with Prandtl number Pr=6.2 without any slip condition between them. In order to get the clear insight of the physical problem, the present results are discussed with the help of graphical illustrations for Cu-water. The change in the skin friction coefficient and Nusselt number are higher for large values of phi with M. It is also observed that TiO2 has the highest momentum, magnetic and thermal boundary layer comparing with Cu and Ag.