Optimal fin geometry based on exergoeconomic analysis for a pin-fin array with application to electronics cooling

Exergoeconomic analysis for a pin-fin array involves the achievement of a balance between the entropy generation due to heat transfer and pressure drop, while considering the unit cost of entropy generation. This process yields the optimum fin operation parameters based on minimum cost. In this study, analytical equations are presented considering the cost of operation for a pin-fin array. The solution of these equations would give the optimum fin diameter and length that result in a fin array with minimum operational cost. In addition, the influence of important fin thermal, physical, geometrical and cost parameters on the optimum diameter and length is presented in graphical form for quick calculations and easy interpretation. The presented results are subjected to the constraint that L/D is of the order of 1 or greater than 1. A case is also presented to demonstrate the use of the model for conditions typically found in cooling of electronic components.