Effect of Porosity on Hydromagnetic Boundary Layer Flow with Forced Convective Heat Transfer

Abstract

A numerical investigation has been carried out to analyse the effect of porosity with forced convective heat transfer on steady ferrohydrodynamic (FHD) flow for water-based magnetic nanofluid over a rotating disk. The governing nonlinear coupled partial differential equations together with the boundary conditions are non-dimensionalized into a non-linear system for ordinary differential equations taking Karman’s transformations. Further, the numerical solutions are obtained using the power series approximations method and presented for the velocity, temperature and skin friction profiles through graphs. For a wide range of applicability, magnetic nanofluids having Prandtl numbers ranging from 12.3 to 44.3 are taken into consideration which included well-known water-based magnetic nanofluid Taiho-W40. Also, the heat transfer rate from the disk surface, skin frictions and thickness of the boundary layer are discussed. From the results, it is noted that the rise in the porosity of Taiho-W40 enhances the flow motion in tangential as well as in axial directions. Further, there is an improvement in the heat transfer rate towards the outer environment with the increase in the Prandtl number.