ANALYTIC SOLUTION TO THE CONJUGATE HEAT-TRANSFER PROBLEM OF FLOW PAST A HEATED BLOCK

An analytic solution has been developed for steady laminar two-dimensional conjugated heat transfer across a rectangular block with constant internal heat source and subjected to forced convection on top, different thermal boundary conditions at the sides, and adiabatic wall condition at the bottom. The idealized problem solution is of interest in the basic analysis of single-block cooling. Numerical results presented illustrate the effects of the Peclet number, conductivity ratio and type of thermal boundary condition on the temperature profiles and heat flux distributions along the upper surface of the block.