“…Excellent comparison validates our numerical computations and the use of extrapolation for higher order accuracy. We choose to present the shear and couple stresses, heat transfer rate, velocity and thermal boundary layer thicknesses, and the velocity and microrotation fields over the surface for a range of values of the magnetic parameter M , the micropolar parameters (i.e., the vortex viscosity parameter R, the microinertia density parameter A, and the spin gradient viscosity parameter C) and the Prandtl number P r. The values 0, 2, 4, 6 of the vortex viscosity parameter R are chosen arbitrarily in order to study its influence on the flow behavior where as the other two parameters A and C have no significant effect on the flow because of which their values are fixed as done customarily in the literature works of Cheng [16] , Guram and Anwar [31] , Takhar et al [32] , and Ashraf et al [33] . Table 2 predicts the influence of applied magnetic field on the shear and couple stresses, and heat transfer rate.…”