Generalized Formulation to Predict Rossiter Modes for Subsonic to Hypersonic Flow

This paper describes the development of a generalized physics-based model to accurately estimate Rossiter modes for flow over rectangular cavities for regimes ranging from subsonic to hypersonic without the a priori knowlege of flow physics. The Heller-Bliss model is shown to diverge from direct numerical simulation (DNS) results, while the adapted model shows close alignment (within 10%) with the DNS data at higher Mach numbers, and is physically reasoned on the basis of energy modes. Using an effective temperature to evaluate the speed of sound calculations and then using it to calculate the Strouhal number yields closer predictions to DNS data. The present work also establishes asymptotic limits for Strouhal numbers.