A General Equation Based on Entropy Generation Minimization to Optimize Plate Fin Heat Sink
In the present study, a new method based on entropy generation minimization was proposed to optimize plate fin heat sink. It is clear that the design of a heat sink is not straightforward and needs some secondary equations. Therefore, in the present study, dimensionless forms of equations were presented first and the effect of each dimensionless group on the entropy generation rate was studied deeply. Finally, a semi-analytical equation was proposed to relate dimensionless thickness to dimensionless fin height and Bi number as well. Interestingly, since no restricting assumption was made during derivation, this equation can be used for both natural and forced convection. Moreover, this equation is based on dimensionless parameters, so it is not limited to some specific geometries or working conditions. At the end, six examples showed benefits and ease of use of this equation. A fan curve was also used in optimizing a heat sink which is more realistic than using a specified free stream velocity.