A Rapid Three-Dimensional Serrated Trailing-Edge Noise Model Based on Analytical Green’s Functions

In this paper, a rapid three-dimensional serrated trailing edge noise model is developed. This model is based on the Green's function for acoustic scattering by a serrated trailing edge. Following the standard Amiet's approach, the three-dimensional effects of the airfoil are taken into consideration using surface integral. The scattered pressure of a gust impinging on the trailing edge is first obtained using the Green's function. A radiation integral is subsequently performed to obtain the far-field noise based on the theories of Kirchhoff and Curle. The model is validated by comparing to finite element simulations and existing models under different geometric parameters and flow Mach numbers. Compared to the previous three-dimentional models, this model is significantly faster. It is hoped that this rapid prediction model would enable an efficient numerical optimization of serration shape.