Heat transfer analysis of unsteady MHD rotating graphene oxide water nanofluid flow

In this study, the Runge Kuta numerical method (RK4), was used to find an accurate solution for the velocity and temperature fields of an unsteady flow of grapheme oxide nanofluid, in a rotating system, within a channel with lower porous wall in presence of imposed external uniform magnetic field. First of all, a local similarity solution for the transformed governing equations was achieved. The nonlinear partial differential equations (PDEs) and boundary conditions were changed to dimensionless form. Thereafter, the numerical approach was employed for obtaining the solution of resulted coupled nonlinear ordinary differential equations. The effect of various parameters including Eckert number, Magnetic parameter and etc. on temperature and velocity distributions were investigated. Finally, the entropy generation rate was calculated. To study the accuracy of solutions, RVIM -analytical method- was used for validation procedures.