Abstract
The entropy generation method is applied to measure the thermodynamic losses caused by heat transfer and pressure drop in cylindrical pin-fin heat sinks which cooled by impingement air flow. The use of this method allows the combined effect of thermal resistance and pressure drop to be assessed through the simultaneous interaction with the heat sink. A general expression for the entropy generation rate is obtained by considering the whole heat sink as a control volume and applying the conservation equations for mass and energy with the entropy balance. Analytical and empirical correlations for heat transfer coefficients and friction factors are used in the optimization model, where a new characteristic lengths are used and reference velocity used in Reynolds number and pressure drop. The SUMT method is used to optimize the model which use the directional derivative to reach the minimum value to the objective function which is the entropy generation rate in this research. The language is used to programming the optimization procedure to the objective function and its constraints which is taken from the general electronic package case. The design is performed on the electronic circuit of thickness which is generate in the 300K ambient temperature. A comparison between the results and the results of the horizontal cooling is accomplished for the different air velociti
