Analytical and Numerical Solutions for Transient Forced Convection in Fluid with Vanishing Prandtl Number
The analytical solution of transient heat transfer from incompressible laminar boundary layer flows over a curved surface when the Prandtl number is zero was attempted by Soliman and Chambre (1969) using Fourier transforms and the method of characteristics. The same problem was addressed by Biasi (1971) using the von Karman-Pohlhausen intergral method. A conceptual error in both papers was detected by Sucec (1978) and was found to cause significant error in the formulation of the response function for wall heat flux and wall temperature, as well as the temperature distribution in the fluid. In correcting the earlier works, Sucec unfortunately, due to a slight oversight, obtained an erroneous solution for the time-varying wall heat flux. Because the papers considered by those investigators represent a class of important transient forced convective heat transfer problems involving liquid metals, it is believed that the problem warrants further investigation and rectification.
Journal of Heat Transfer
Lycans, Randal W. and Chung, Benjamin T.F., "Analytical and Numerical Solutions for Transient Forced Convection in Fluid with Vanishing Prandtl Number" (1988). Mechanical Engineering Faculty Research. 1082.