Role of linear and non-linear thermal radiation over the rotating porous disc with the occurrence of non-uniform heat source/sink: HAM analysis

The aim of the present work is to analyze the second-grade nanofluid flow over the rotating disc with the presence of non-uniform heat source/sink, linear and non-linear thermal radiation. The heat transfer mechanism for the second-grade nanofluid has been constructed with the help of Brownian motion and thermophoresis. The governing fluid equations are solved by the Homotopy analysis method and computed numerically via NDSolve after employing appropriate similarity transformations. The obtained series solutions had met excellent agreement with the previously published results. The significance of non-dimensional parameters on the hydrodynamic, heat and mass transfer aspects are discussed through the graphical representations. Also, the skin friction coefficient, heat and mass transfer rates are illustrated via tables. The present work reveals that the fluid velocity is accelerated due to by enhancing the second-grade nanofluid (β) and porosity (K) parameters. The radial and tangential velocity profiles are upsurged by increasing the thickness of index (m), whereas, decreasing the axial velocity profile. Moreover, the heat transfer profile is significantly impacted by the space (A∗) and temperature-dependent (B∗) heat source/sink parameters for both scenarios of linear and non-linear thermal radiation. In fact, the present work can be utilized as coolants by numerous automotive and engineering industries, namely the electronic devices, electrical motor, cooling system of power plants, CPU processors, engines, thermal radiative therapy, spectroscopy, X-rays and scans etc.