Heat transfer in a viscoelastic fluid over a stretching sheet

Abstract An analysis is carried out to study the heat transfer characteristics in a viscoelastic fluid over a stretching sheet with frictional heating and internal heat generation or absorption. 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 solutions for the temperature, the heat transfer characteristics and their asymptotic limits for large and small Prandtl numbers are obtained in terms of Kummer's and parabolic cylinder functions. For large Prandtl numbers, a boundary layer width of √ 1 Pr is noticed in both PST and PHF cases. Furthermore, it is shown that there is no boundary layer type of solution for small Prandtl number.