In this paper, the effect of non-uniform magnetic field on nanofluid forced convection heat transfer in a lid driven
semi-annulus is studied. The effects of Brownian motion and thermophoresis are taken into account. Control
volume based finite element method is used to solve the governing equations in the form of stream function–
vorticity formulation. The calculations were performed for different governing parameters namely; the
Reynolds number, Lewis number, and Hartmann number. Results show that the Nusselt number has a direct
relationship with the Reynolds number while it has a reverse relationship with the Hartmann number and
Lewis number
