The boundary layer flow over a horizontal plate with power law vari-ations in the freestream velocity and wall temperature of the form U e ∼ x n and T w − T ∞ ∼ x m and with viscous dissipation, is studied. The boundary layer equa-tions are transformed to a dimensionless system of equations using a non–similarity variable ξ(x) and a pseudo-similarity variable η(x, y). The effects of the various pa-rameters of the flow on velocity and temperature distribution in the boundary layer, on the local skin friction and local heat transfer coefficients and on the non–similar terms, are investigated.