Abstract
The present study investigates the combined influence of the nanoparticles and uniform magnetic field applied on the slip blood flow. Blood conveyed through the hollow arterial tube is described as a third-grade non-Newtonian fluid with time dependent viscosity and formulated by the second-order nonlinear ordinary differential equations. Therefore, the regular perturbation method as an approximate analytical method can be applied providing a solution to the coupled system of equations. The results obtained from the solution are used to show the effect of parameters including the magnetic parameter, the viscous dissipation and the pressure gradient on the slip blood flow. Analytical results reveal augmentation of the pressure gradient and the magnetic parameter decrease the velocity value whilst the viscous dissipation augmentation increases the temperature. Also, the comparison between the analytical results with the results obtained from numerical solution shows the good agreement.