Non-similar investigation of magnetized boundary layer flow of nanofluid with the effects of Joule heating, viscous dissipation and heat source/sink

Abstract

The main objective of this numerical study is to investigate the steady, incompressible and two-dimensional magnetohydrodynamic convection flow of a nanofluid across a stretched sheet with the influence of viscous dissipation, Joule heating, and slip condition. Also, the effects of convective boundary condition, mass flux and heat source are considered. The nanofluid under consideration is a combination of water and copper nanoparticles. In this analysis, appropriate non-similar transmutations are applied to transform partial differential equations (PDEs) into dimensionless PDEs. The dimensionless PDEs are converted into ordinary differential equations (ODEs) using the local non-similarity method. ODEs are solved through the use of well-known method (MATLAB-based bvp4c). The different results of velocity profile and temperature profile are conferred through graphs for several dimensionless parameters including Hartmann number, slip parameter, porosity parameter, Biot number and Eckert number. Physical quantities like Nusselt number and surface drag force are also estimated in tabular form. From the obtained results, it is noted that enhancing the values of volume fraction, slip parameter cause an increment in the values of skin friction coefficient while enhancing the values of Hartman number, porosity parameter causes a reduction in the values of skin friction coefficient. Also, by increasing the values of volume fraction, slip parameter, Eckert number causes a reduction in the values of local Nusselt number while the values of Nusselt number enhances by increasing the values of Hartman number, porosity parameter and heat source parameter.