Abstract

The dynamics of the coherent structures in a turbulent three-dimensional wall jet with an exit Reynolds number of 250,000 were investigated using the Snapshot Proper Orthogonal Decomposition (POD). A low-dimensional reconstruction using the first 10 POD modes indicates that the turbulent flow is dominated by streamwise vortex structures that grow in size and relative strength, and that are often accompanied by strong lateral sweeps of fluid across the wall. This causes an increase in the bulging and distortions of streamwise velocity contours as the flow evolves downstream. The instantaneous streamwise vorticity computed from the reconstructed instantaneous velocities has a high level of vorticity associated with these outer streamwise vortex structures, but often has a persistent pair of counter-rotating regions located close to the wall on either side of the jet centerline. A model of the coherent structures in the wall jet is presented. In this model, streamwise vortex structures are produced in the near-field by the breakdown of vortex rings formed at the jet outlet. Separate structures are associated with the near-wall streamwise vorticity. As the flow evolves downstream, the inner near-wall structures tilt outward, while the outer streamwise structures amalgamate to form larger streamwise asymmetric structures. In all cases, these streamwise vortex structures tend to cause large lateral velocity sweeps in the intermediate and far-field regions of the three-dimensional wall jet. Further, these structures meander laterally across the jet, causing a strongly intermittent jet flow.

Highlights

  • While the cause of such behavior in three-dimensional wall jets is not fully understood, it is known to be caused by the presence of strong mean secondary flows [1]

  • The link between the mean secondary flow and the unsteady streamwise vorticity associated with coherent structures in the jet is not clear

  • The results indicate that a 10-Proper Orthogonal Decomposition (POD)-mode reconstruction of the turbulent velocity field is sufficient to extract the dynamics of the coherent structures in the jet

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Summary

Introduction

While the cause of such behavior in three-dimensional wall jets is not fully understood, it is known to be caused by the presence of strong mean secondary flows [1]. The link between the mean secondary flow (the mean streamwise vorticity) and the unsteady streamwise vorticity associated with coherent structures in the jet is not clear. Previous researchers like George [6], Glauser [7], Citriniti [8], Citriniti and George [9], Jung et al [10], and Iqbal and Thomas [11], amongst others, have demonstrated the effectiveness of the Proper Orthogonal Decomposition (POD) technique in extracting coherent structures by applying it to round jets. Citriniti and George [9]

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