In this paper, the flow and temperature fields affected by electrohydrodynamic actuator are numerically investigated for the incompressible, turbulent, and steady flow over a backward-facing step. Air is used as working fluid in heated backward-facing step cooling process. The electric field is generated by the wire electrode charged with DC high voltage. The numerical modeling is based for solving electric, flow, and energy equations with finite volume approach. The computed results are firstly compared with the experimental data in case of rectangular flat channel and the results agree very well. Then the effect of different parameters such as the radius of the wire, applied voltage, Reynolds number, and the wire position on the heat transfer coefficient is evaluated. The results show that the heat transfer coefficient with the presence of electric field increases with the applied voltage but decreases when the Reynolds number and the radius of the wire are augmented. Moreover, reduction of emitting electrode angle can significantly effect on the heat transfer enhancement. In consequence, one may able to find an optimum place for the emitting electrode position.