Magnetohydrodynamic Boundary Layer Flow of a Nanofluid past a Stretching/Shrinking Sheet in the Presence of Viscous Dissipation with Heat Generation/Absorption and Convective Boundary Condition

Abstract

The problem of laminar fluid flow which results from the stretching/shrinking of a flat surface in a nanofluid has been obtained using the Adomian Decomposition Method. The model used for the nanofluid was presented in its rectangular form. The model is considered in the presence of viscous dissipation, heat generation/absorption with convective boundary condition and the effect of Brownian motion and thermophoresis. A similarity solution is presented which depends on magnetic parameter (M), Eckert number (E_c), heat generation and absorption, Biot number (B_i), Lewis number (L_e), Brownian motion (N_b) number and thermophoresis number (N_t). In the results presented graphically, it is observed that the physical quantities such as the Magnetic parameter has the same effects on both stretching and shrinking sheets, ie as it increases  the velocity profile reduces on both sheets.