On Constant Property Turbulent Boundary Layers With Variable Temperature or Heat Flow at the Wall

Recent numerical solutions of Spalding’s form of the thermal energy equation are compared to other, more limited, analytic solutions of the energy equation that have been used for situations in which the temperature at the wall or the heat flux at the wall varies with distance along the wall. For Prandtl numbers near unity the two kinds of solutions are comparable and they predict well the heat transfer for flow along a flat plate. For variable free stream velocity the discrepancies found between experiment and the older solutions remain the same with the new ones. Another model of the thermal boundary layer is presented by which better agreement with experiment is obtained for accelerated flows.