Improved trailing edge noise prediction using a generalized Rapid-distortion theory approach:AIAA/CEAS Aero-acoustics Conference 2019

Goldstein, Afsar & Leib (J. Fluid Mech., vol. 736, pp. 532-569, 2013) and Goldstein-Leib- Afsar (J Fluid Mech. vol. 824, pp. 477-512) extended the Rapid-distortion theory (RDT) of turbulence to consider mean flows that are transversely sheared in the upstream state. The key feature of the theory was in relating the upstream boundary condition to physically realizable turbulence that can be controlled by an experimentalist. We summarize the theory briefly illustrating how it can be used to model trailing edge noise. We conclude by correcting the high frequency formula that GLA derived to include the next order term for the amplitude function in the WKBJ approximation for the scattered pressure. This term enters the lowest order expansion for the scattered pressure when the hydrodynamic wave number limit is taken. The predictions based on this mathematical representation have greater flexibility at high frequencies.