Effects of Gold Nanoparticles Shapes on Magnetohydrodynamic Flow and Heat Transfer in the Presence of Thermal Radiation

Abstract

The objective of present study is to examine the effects of nanoparticles shapes on magnetohydrodynamic (MHD) boundary layer flow and heat transfer of nanofluid over a flat plate in the presences of thermal radiation. Three categories of fluids such as pure water, ethylene glycol and engine oil with Prandtl number (Pr) = 7.8 containing three different shapes of Gold (Au) nanoparticles i.e. sphere, platelet and lamina have used in this study. By using unique similarity transformation, the governing partial differential equations (PDEs) are converted into a system of non-linear ordinary differential equations (ODEs) which have tackled numerically by bvp4c program. The behaviours of several pertinent parameters i.e. solid volume fraction (φ), magnetic field (M) and thermal radiation (Rd) for different shapes of nanoparticles also elucidated in detail. The results indicated that all selected parameters have a significant impact on the thermal boundary layer. The Nusselt number is presented in graphically form. The nanoparticles of sphere shape in Au-Ethylene glycol are more significant for temperature disturbance. The heat transfer rate has found greater for lamina shapes in Au-Engine oil.