Natural Convection Nano Fluid Flow under the Influence of Lorentz force considering Joule heating effect

In this paper, an investigation on the magnetohydrodynamic nanofluid flow between two parallel vertical permeable sheets is done. By considering the effect of Joule heating and viscous dissipation and applying the Buongiorno model, the nonlinear governing equations of the problem are solved analytically. The Akbari- Ganji’s Method (AGM) is used to solve the nonlinear differential equations and the results are compared with the Numerical Method (NUM) and good agreement is obtained. Effect of different parameters such as the Prandtl number, Hartman number, suction parameter, thermophoretic parameter, Brownian motion parameter, Buoyancy ratio, Schmidt number and the Eckert number on the fluid flow and heat transfer are considered. Finally, the impact of above parameters on the Nusselt number (Nu) and the skin friction coefficient (Cf) is investigated.