Self-Sustained Oscillations in a Low Viscosity Round Jet

TL;DR

This study explores how viscosity contrast influences oscillation modes in a low-viscosity jet, revealing a transition from axisymmetric to helical modes and identifying a global oscillation mode linked to absolute instability.

Contribution

It provides experimental evidence connecting viscosity ratio to jet oscillation behavior and validates linear stability theory predictions with detailed flow diagnostics.

Findings

Low viscosity ratios cause axisymmetric jet breakdown.

Higher viscosity ratios induce helical oscillations.

Identified a global mode consistent with absolute instability theories.

Abstract

This experimental study investigates the effects of viscosity contrast between a saltwater jet and its high-viscosity propylene glycol surroundings. Using density-matched fluids in a gravity-driven flow, Jet Reynolds numbers (Re) from 1600 to 3400 and ambient-to-jet viscosity ratios (M) from 1 to 50 were examined. Observations indicate that low viscosity ratios lead to axisymmetric jet breakdown, while higher ratios result in helical modes. The study employs various diagnostic tools to delineate this transition. Hot film anemometry reveals a discrete peak in the velocity fluctuation frequency spectrum, marking the onset of helical modes. This peak shows minimal spatial variation downstream. Laser-induced fluorescence (LIF) was utilized to distinguish the jet boundary. High-speed LIF imaging facilitated the determination of wave growth rates on the jet boundary and oscillation frequencies of the interface. These frequencies, consistent with self-sustained oscillation behavior, depend on the viscosity ratio and align with absolutely unstable modes from spatio-temporal linear stability theory. Spectral Proper Orthogonal Decomposition of the images identifies several spatial modes, predominantly a single dominant mode. These findings suggest the presence of a global mode, likely stemming from absolute instability in velocity and viscosity profiles near the nozzle exit, providing significant insights into fluid dynamics at varying viscosity contrasts.