| الوصف: |
This study employs optimization techniques to enhance the positioning of a dielectric-barrier-discharge plasma actuator on a curved surface, taking into account diverse aerodynamic and physical scenarios. The optimization methodology utilized here is Differential Evolution (DE), complemented by an improved electrostatic model for solving electrostatic equations. In this electrostatic model, two elliptic equations, governing electrical potential and plasma density, are independently resolved, and their solutions are subsequently incorporated as source terms within the Navier-Stokes equations. Notably, contrary to prior research suggesting the placement of the plasma actuator at the leading edge of the airfoil, our findings reveal that the optimal position for plasma actuation falls within the range of 2 to 4 percent of the chord length from the leading edge, contingent upon the prevailing aerodynamic conditions. Furthermore, we elucidate a mathematical pattern in the optimization data across a continuous domain, applicable to various geometries and designs. This mathematical model articulates the optimal location as a complex function, dependent on both the linear Reynolds effect and the angular impact of the angle of attack. |