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Screech tones in supersonic jets are underpinned by resonance betweendownstream-travelling Kelvin-Helmholtz waves and upstream-travelling acousticwaves. Specifically, recent work suggests that the relevant acoustic waves areguided within the jet and are described by a discrete mode of the linearisedNavier-Stokes equations. However, the reflection mechanism that convertsdownstream-travelling waves into upstream-travelling waves, and vice versa, hasnot been thoroughly addressed, leading to missing physics within most resonancemodels. In this work we investigate the reflection and transmission of wavesgenerated by the interaction between a Kelvin-Helmholtz wave and a normal shockin an under-expanded jet using a mode-matching approach. Both vortex-sheet andfinite-thickness shear-layer models are explored, quantifying the impact of theshear layer in the reflection process. This approach could enable morequantitative predictions of resonance phenomena in jets and other fluidsystems.

Reflection and transmission of a Kelvin-Helmholtz wave incident on a shock in a jet