Generalized Formulation to Predict Rossiter Modes for Subsonic to Hypersonic Flow

TL;DR

This paper introduces a generalized physics-based model for predicting Rossiter modes over rectangular cavities across a wide Mach number range, improving accuracy over existing models and establishing asymptotic limits.

Contribution

It develops an adapted model that aligns closely with DNS results from subsonic to hypersonic flows, using an effective temperature approach for better predictions.

Findings

The adapted model shows within 10% accuracy of DNS at high Mach numbers.

Using effective temperature improves Strouhal number predictions.

The work establishes asymptotic limits for Rossiter mode Strouhal numbers.

Abstract

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.