A very effective solution method is proposed to solve the conjugate problems of forced convection in laminar boundary layer flow and heat conduction in a solid wall. For flows passing a flat plate and a wedge, very accurate finite-difference solutions of interface temperature and heat transfer rates are presented over the entire thermo-fluid-dynamic field for any Prandtl number between 0.0001 and infinity. Comprehensive correlation equations of the local Nusselt numbers are also presented, which coincide excellently with the numerical data. For the conjugate problems of the stagnation flow and a rotating cone or disk, exact solutions are obtained.
