Geometric Optimization of 2D Cellular Metals Cooled by Forced Convection Subjected to Fixed Pumping Power, Pressure Drop or Mass Flowrate

An analytical approach for the optimal design of 2D cellular metallic structures for heat sink applications is proposed. By integrating fin analogy model into intersection-of-asymptotes method, both the conjugate conduction-convection heat transfer mechanism and the developing flow/temperature fields are considered in this approach. Results are reported nondimensionally for three different flow configurations: fixed mass flowrate, fixed pressure drop and fixed pumping power.