Conjugate heat transfer from a small heated strip

This study addresses the electronic cooling problem from the perspective of scaling laws applied to a simple conjugate heat transfer geometry, steady shear flow over a heated strip on a flat plate. The results are reported in a compact form in terms of a modified Nusselt number and a combined parameter (k_f/k_s)Pe^1/3. Numerical results are reported that apply to a wide range of values for fluid flow, thermal conductivity, and thickness of the flat plate, and the results include simple design correlations. A new dimensionless parameter is suggested for determining when the fluid axial heat conduction can be neglected.