Free convection boundary layer flow of a viscous fluid above a hot horizontal semi-infinite flat plate with prescribed surface temperature

The problem of steady two-dimensional free convection boundary layer flow of an incompressible viscous fluid above a hot horizontal semi-infinite flat plate is investigated for the case of power-law variation in the surface temperature. The analysis is extended to cover the whole range of the Prandtl number Pr values, and means of the values of Pr are taken from Pr → 0 to Pr → ∞. Further the analysis reveals a definite range of the wall temperature parameter s (−0.5 < s < 2.0) for which this flow problem will be valid. The asymptotic values of heat transfer and skin-friction coefficients are determined as a function of Pr for different values of s.