Local non-similarity solutions for a forced-free boundary layer flow with viscous dissipation

Abstract

The boundary layer flow over a horizontal plate with power law variations in the freestream velocity and wall temperature of the form Ue ∼ xn and Tw − T∞ ∼ xm and with viscous dissipation, is studied. The boundary layer equations are transformed to a dimensionless system of equations using a non–similarity variable (x) and a pseudo-similarity variable (x; y). The effects of the various parameters 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.