Magnetic field effect on unsteady nanofluid flow and heat transfer using Buongiorno model

•Nanofluid flow between parallel plates in presence of magnetic field is studied.•DTM is used in order to solve governing equations.•Nu*Nu* augments with rise of HaHa.•Nu*Nu* reduces with increase of SS.

In this study, heat and mass transfer characteristic of unsteady nanofluid flow between parallel plates is investigated. The important effect of Brownian motion and thermophoresis has been included in the model of nanofluid. The governing equations are solved via Differential Transformation Method. The validity of this method was verified by comparison previous work which is done for viscous fluid. The analytical investigation is carried out for different governing parameters namely; the squeeze number, Hartmann number, Schmidt number, Brownian motion parameter, thermophoretic parameter and Eckert number. The results indicate that skin friction coefficient has direct relationship with Hartmann number and squeeze number. Also it can be found that Nusselt number increases with increase of Hartmann number, Eckert number and Schmidt number but it is decreases with augment of squeeze number.