Joe Nathan Brown

Modeling of wall‐pressure fluctuation based on time‐mean flow field

Time‐mean flow field and turbulent flow characteristics from solving the Navier–Stokes equations are used to predict the flow direction wave number spectrum of wall‐pressure fluctuations. The vertical turbulent velocity is represented by the kinetic energy contained in the local turbulent flow. A redistribution of the turbulent kinetic energy to account for the anisotropic turbulence is implemented based on the equilibrium turbulent shear flow. The spectral correlation model in predicting the wall‐pressure fluctuation is obtained through the Green’s function formulation, and the streamwise and spanwise wave number spectrum modelings. Predictions for the equilibrium flow agree well with measurements, and reveal an overlap region of an inverse of the frequency. Predictions for a 2‐D reattached flow field after flow separation and a 3‐D flow field on an airfoil with focus on the trailing edge and airfoil tip are discussed and compared to measurements. [Work supported by ONR.]