Recently, Megahed [1] numerically investigated the influences of variable viscosity and thermal conductivity on the boundary layer flow and heat transfer of a non-Newtonian Maxwell fluid over an unsteady stretching sheet with variable heat flux in the presence of slip velocity. The main aim of the boundary layer flow and heat transfer study is to calculate the physical quantities of interest namely, the local skin-friction coefficient and the surface heat flux. Unfortunately, the definitions of these quantities and the boundary condition 1 ) 0 ( ' − = θ are wrong .