Coherent structures in Newtonian and viscoelastic turbulent planar jets

TL;DR

This study investigates how elastic turbulence is triggered and maintained in viscoelastic planar jets by analyzing coherent structures and comparing them with Newtonian jets, revealing significant near-field differences due to elasticity.

Contribution

It introduces a spatio-temporal Koopman decomposition to analyze flow patterns and highlights the impact of elasticity-driven structures on turbulence in viscoelastic jets.

Findings

Global flow structures are similar between Newtonian and viscoelastic jets.

Near-field structures differ significantly due to elasticity effects.

Polymer filaments and centre-mode structures support elastic turbulence mechanisms.

Abstract

The addition of a small amount of long-chain polymers confers viscoelastic properties to Newtonian flows. The resulting non-Newtonian solution now exhibits different dynamics, such as enhanced mixing at low Reynolds, where elastic instabilities can trigger elastic turbulence even though inertial turbulence is absent. Here, we study this phenomenon in viscoelastic planar jets and, in particular, we do it from the perspective of coherent structures to understand how elastic turbulence is triggered and sustained, which remain barely explored in this setup. We introduce the spatio-temporal Koopman decomposition for extracting the dominant flow patterns, and we compare them with those from Newtonian planar jets at high Reynolds number. Global flow structures are similar between jets, with low-frequency streaks and high-frequency wave packets dominating the turbulent dynamics. However, structures are strikingly different in the near field, where elasticity-driven streaks affect the dynamics in the potential core of the viscoelastic planar jet, modifying the bulk flow and interacting with the flow instability. The analysis of the polymer field reveals stretched polymer filaments and centre-mode structures, which support the implication of the near-field streaks on sustaining elastic turbulence in three-dimensional viscoelastic planar jets.