Linear dynamics of over-expanded annular supersonic jets

TL;DR

This paper analyzes the linear behavior of over-expanded annular supersonic jets, identifying unstable Kelvin-Helmholtz waves and guided modes, and explores how these dynamics depend on flow parameters and nozzle pressure ratios.

Contribution

It introduces a detailed analysis of flow fluctuations in annular supersonic jets, highlighting the stability characteristics of Kelvin-Helmholtz waves and guided modes under varying conditions.

Findings

Two Kelvin-Helmholtz waves are unstable in all cases.

Outer layer wave exhibits greater instability due to velocity gradients.

Guided-jet modes are robust and less sensitive to base flow changes.

Abstract

This article delves into the dynamics of inviscid annular supersonic jets, akin to those exiting converging-diverging nozzles in over-expanded regimes. It focuses on the first azimuthal Fourier mode of flow fluctuations and examines their behavior with varying mixing layer parameters and expansion regimes. The study reveals that two unstable Kelvin-Helmholtz waves exist in all cases, with the outer layer wave being more unstable due to velocity gradient differences. The inner layer wave is more sensitive to base flow changes and extends beyond the jet, potentially contributing to nozzle resonances. The article also investigates guided-jet modes, which are found to be robust and not highly sensitive to base flow parameters, making them essential for understanding jet dynamics. A simplified model is used to obtain ideal base flows with realistic shape to study varying nozzle pressure ratios (NPR) effects on the dynamics of the waves supported by the jet.