Two-dimensional adiabatic forced convection at low péclet number

This paper deals with heat transfer to two-dimensional laminar Poiseuille flow with arbitrary heat fluxes specified on the walls. The solution is first obtained for fluxes which are symmetric and antisymmetric delta functions and from these the general solution is obtained by integration. The solutions include the effects of axial conduction and also of preheating of the incoming fluid. Detailed solutions are given for the cases Pé=1 and Pé=.5.