Time Dependent Boundary Layer Flow and Heat Transfer of Jeffrey Nanofluid with Viscous Dissipation Effects

In this paper, we scrutinize the problem of unsteady laminar boundary layer flow, induced by an impulsive stretching sheet and heat transfer of Jeffrey nanofluid. The paper combines the effects of viscous dissipation, ratio of relaxation to retardation time, Brownian motion, thermophoresis, Lewis number and time-dependence on the flow properties. The non-linear partial differential equations that describe the flow are solved by a bivariate spectral quasi-linearisation method based on a bivariate Lagrange interpolation collocation method that is adapted to handle system of complex coupled partial differential equations. The proposed method is shown to be convergent and effective in giving accurate solutions. It is found that the ratio of relaxation to retardation time have a significant influence on the fluid velocity and temperature.