In this research, heat transfer of nanofluid flow in a two-phase revolving system considering the magnetic field is investigated. The fundamental partial differential equations of momentum, mass, and energy reduced to the nonlinear ordinary differential equations which are solved using Akbari-Ganji’s Method (AGM). The introduced method solves problems based on the Trial Function. The comparison between the numerical (Runge-Kutta Fourth-Order Method) and analytical results indicates great agreement in solving the nonlinear differential equations. Also, the impact of Schmidt (Sc) number and parameters such as Brownian (Nb) parameter, Magnetic parameter (M), Melting parameter (δ), Viscosity parameter (R), Rotating parameter (Kr), and Thermophoretic (Nt) parameter on the profiles of velocity (g(η), f'(η), f(η)), temperature (θ), concentration (ϕ), Nusselt number (Nu), and surface friction coefficient (Cf) are studied. Conclusions show that by the increase in Viscosity parameter, the temperature profile increases in the range of [0, 1], but with the increase in Melting parameter, temperature profile decreases. In addition, by increasing Rotating parameter or decreasing Brownian parameter, the surface friction coefficient profile increases from top to bottom plate. Furthermore, the results show that nanofluid heat transfer rate in a two-phase revolving system can be improved by controlling the magnetic field.
