MHD fluid flow with the effect of mixed convection passing on a magnetic sphere in newtonian nano fluid

This paper considers magneto-hydrodynamics (MHD) fluid flow with the effect of mixed convection passing on a magnetic sphere in nano fluid. Titanium dioxide (TiO2) is chosen as solid particle in nano fluid. The dimensional governing equations are developed from continuity equation, momentum equation, and energy equation. Furthermore, the dimensional governing equations are transformed into the non-dimensional governing equation by using non-dimensional parameters and variables. Then, the non-dimensional governing equations are transformed into similarity equations using stream function and then solved numerically using implicit finite difference method. The results of numerical solution are obtained using variation of non-dimensional parameters which consist of magnetic parameter, mixed convective parameter, and volume fraction. The numerical results show that the velocity and temperature decrease when magnetic parameter increases. The velocity and temperature increase when mixed convective parameter also increases. Finally, the velocity decreases and temperature increases when volume fraction parameters increase.