Shape optimization is needed to enhance the performance or efficiency of many industrial products, for instance, such as small-scale electric parts, automotive design and so on. In, especially, small-scale apparatus with heat transfer, it is not easy to decide optimal shape of apparatus. Therefore, the shape of power auxiliary apparatus in automotive engine was investigated using numerical analysis which includes k- model and unsteady state. The relations between temperature and heat transfer were simulated in case of 3 Type and 3 Point for power auxiliary apparatus. As the results, the heat transfer was decreased due to flow recirculation in case of Type-1. Further high temperature did not always mean high heat transfer when the shape interacted with surrounding fluid.

Numerical analysis using k-ε model of unsteady state was performed to decide the optimal shape of power auxiliary apparatus in automotive engine. In order to obtain auxiliary electric power using coolant in automotive engine, shapes of 3 Types were compared. Furthermore to achieve the confidence of numerical analysis, the results of numerical analysis was compared with those of experiment. As the results, it showed that accuracy of numerical analysis was about 85~98%. Further the optimal shape, in this study, was Type-1, which had outer rounding R32.5, among 3 Types.