An inverse study to design the optimal shape and position for delta winglet vortex generators of pin-fin heat sinks

A three-dimensional inverse design problem is examined in this study using a general purpose commercial code CFD-ACE+ and the Levenberg-Marquardt Method (LMM) to estimate the optimal position and shape for delta winglet vortex generators of pin-fin heat sinks for best cooling performance. The algorithm is based on the minimization of the average temperature on the base plate of heat sinks and then try to obtain the optimal design variables for vortex generators of pin-fin heat sinks. The delta winglet vortex generators are utilized on a pin-fin heat sink to estimate the optimal design when the inlet velocities of air al to Re = 10,000, 15,000 and 20,000, respectively. Finally, the heat sink and vortex generator modules are carried on the experimental verification. The results indicate that with the designed optimal vortex generators the cooling performance is indeed better than that with the original design vortex generators and the temperature distributions on the base plate are very similar between the experimental and numerical data.