A closure mechanism for screech coupling in rectangular twin jets

TL;DR

This paper investigates the mechanisms behind screech coupling in rectangular twin jets, identifying how free-stream acoustic and guided jet modes contribute to intermittent out-of-phase coupling, with implications for controlling jet noise.

Contribution

It introduces a novel analysis of the closure mechanisms for twin-jet screech, emphasizing the role of guided jet modes and phase competition in coupling behavior.

Findings

Out-of-phase coupling is the dominant mode of screech in twin jets.

Guided jet modes are primarily responsible for closing the screech feedback loop.

Intermittency in screech is linked to competition between in-phase and out-of-phase coupling modes.

Abstract

Twin-jet configuration allows two different scenarios to close the screech feedback. For each jet, there is one loop involving disturbances which originate in that jet and arrive at its own receptivity point in-phase (self-excitation). The other loop is associated with free-stream acoustic waves that radiate from the other jet, reinforcing the self-excited screech (cross-excitation). In this work, the role of the free-stream acoustic mode and the guided jet mode as a closure mechanism for twin rectangular jet screech is explored by identifying eligible points of return for each path, where upstream waves propagating from such a point arrive at the receptivity location with an appropriate phase relation. Screech tones generated by these jets are found to be intermittent with an out-of-phase coupling as a dominant coupling mode. Instantaneous phase difference between the twin jets computed by the Hilbert transform suggests that a competition between out-of-phase and in-phase coupling is responsible for the intermittency. To model wave components of the screech feedback while ensuring perfect phase-locking, an ensemble average of leading spectral proper orthogonal decomposition modes is obtained from several segments of large-eddy simulations data that correspond to periods of invariant phase difference between the two jets. Each mode is then extracted by retaining relevant wavenumber components produced via a streamwise Fourier transform. Spatial cross-correlation analysis of the resulting modes shows that most of the identified points of return for the cross-excitation are synchronised with the guided jet mode self-excitation, supporting that it is preferred in closing rectangular twin-jet screech coupling.