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.