Published August 12, 2024 | Version v1
Journal article

Self-sustained oscillations in a low-viscosity round jet

  • 1. Department of Mechanical Engineering, University of Minnesota, Minneapolis, Minnesota 55455, USA

Description

The effect of viscosity contrast between a jet and its surroundings is experimentally investigated using density-matched fluids. A gravity-driven flow is established with a jet of saltwater emerging into an ambient medium composed of high-viscosity propylene glycol. Jet Reynolds numbers, Re, ranging from 1600 to 3400 were studied for an ambient-to-jet viscosity ratio, M, between 1 and 50. Visualization suggests that at low values of the viscosity ratio, the jet breakdown mode is axisymmetric, while helical modes develop at high values of viscosity ratio. The transition between these two modes is attempted to be delineated using a variety of diagnostic tools. Hot-film anemometry measurements indicate that the onset of the helical mode is accompanied by the appearance of a discrete peak in the frequency spectrum of velocity fluctuations, which exhibits little spatial variation for the first several diameters in the downstream direction. Laser-induced fluorescence (LIF) is used to identify the jet boundary against the background. An analysis of high-speed images acquired using the LIF technique enables identification of the spatial growth rate of waves on the jet boundary, as well as the frequency of oscillation of the weakly diffusive interface. Temporal fluctuations of fluorescence intensity are found to be spatially invariant in the jet near field, further attesting to behavior consistent with that of a self-sustained oscillation whose frequency depends on the viscosity ratio. The observed frequencies show trends similar to those of absolutely unstable modes calculated from spatiotemporal linear stability theory presented in a companion paper. Spectral proper orthogonal decomposition was used to analyze the images and identify the various spatial modes, and suggests the existence of a single dominant mode. Together, these observations provide strong circumstantial evidence for the existence of a global mode that arises from the absolute instability of velocity and viscosity profiles in a region close to the nozzle exit plane.

Additional details

Identifiers

DOI
10.1103/PhysRevFluids.9.083902;
arXiv
arXiv:2301.13593;
Crossref Funder ID
10.13039/100000001;

Publishing Information

Journal Title
Physical Review Fluids
Journal Volume
9
Journal Issue
8
Journal Page Range
22 pgs.
ISSN
2469-990X

Optional Information

Copyright
©2024 American Physical Society
Contract/Grant/Project number
CBET/2023932
Notes
Contact Email: Contact author: vinods@umn.edu; Record automatically processed
Funding organization
National Science Foundation