Empirical Wall-Pressure Spectral Modeling for Zero and Adverse Pressure Gradient Flows

Abstract

This paper presents a new empirical model for turbulent boundary-layer wall pressure spectrum and validates the new model against measurement data for zero pressure gradient flat plate flows and adverse pressure gradient airfoil flows. A comprehensive comparison and assessment of recently developed empirical models for the wall pressure spectrum for both zero and adverse pressure gradient flows show that there is no single model that consistently provides accurate results for different test cases. For zero pressure gradient flows, the Goody and Hu models are the most accurate. For adverse pressure gradient flows on airfoils, the Rozenberg and Kamruzzaman models are the most accurate. The Catlett model results in underpredictions in most cases. Based on the observed physical flow trend and the detailed assessment of all the models, a new model is developed. The new model extends the validity of the original Rozenberg model to handle zero pressure gradient flows and nonsymmetric and high-loading airfoil flows. The new model provides the most accurate results for flat plates and airfoils. A sensitivity study shows that the new model is not very sensitive to a variation of input parameters.