Heat-Transfer In A 2Nd-Order Fluid Over A Continuous Stretching Surface

The heat transfer characteristics of a second-order fluid over a continuous stretching surface with internal heat generation or absorption is analyzed. Two cases are studied, namely (i) the sheet with prescribed surface temperature (PST-case) and (ii) the sheet with prescribed wall heat flux (PHF-case). The solution and heat transfer characteristics are obtained in terms of Kummer\u27s functions. For large values of Prandtl number a uniform approximation is given in terms of parabolic cylinder functions with a boundary layer of width square-root 1/Pr in both the PST and PHF cases. It is also shown that no boundary layer type solution exists for small Prandtl number