Nanofluid hydrothermal behavior in existence of Lorentz forces considering Joule heating effect

Magnetohydrodynamic nanofluid flow between two parallel vertical permeable sheets is investigated. Buongiorno model is selected for nanofluid simulation. Joule heating and viscous dissipation impacts are taken into account. Differential Transform Method (DTM) is utilized to solve the final formulae which are obtained via similarity transformation. Roles of Prandtl and Hartmann numbers, Eckert number, suction parameter, Buoyancy ratio, Schmidt number, thermophoretic and Brownian motion parameters are presented. Results illustrated that shear stress enhances with rise of Eckert number but it reduces with rise of Lorentz forces. Temperature gradient on left sheet augments with enhances of Lorentz forces but it decreases with rise of Brownian motion.