Brownian movement and thermophoretic aspects in third-grade nanofluid over oscillatory moving sheet

An enhancement in energy by using nanoparticles is a topic of broad interest in the present century due to its industrial and engineering importance. Therefore, this investigation is based on the thermophoretic and Brownian movement aspects in third-grade nanofluid flow under an applied magnetic field. The role of Joule dissipation is considered in the energy expression. The flow generation is due to the time-dependent periodic motion of the sheet. The partial differential system is converted into expressions of ordinary ones via appropriate variables. The local similarity solution for a coupled system of nonlinear ordinary differential expressions is developed by a homotopy analysis method. A theoretical based graphical analysis is comprehensively discussed for the flow parameters. The numerical data of local Nusselt and Sherwood numbers are expressed in tabular form. It is observed that the presence of non-Newtonian parameters result in an enhancement of the momentum boundary layer. Both thermophoresis and Brownian parameters play an efficient role to enhance the nanoparticles’ temperature. This study also reveals that the factor of skin friction oscillates and increases periodically by increasing the non-Newtonian parameters.