Multiple states of turbulence at vanishing inertia
Ziyin Lu, Bj\"orn Hof

TL;DR
This paper reveals that complex fluids can exhibit multiple turbulent states at low inertia, driven by competing instabilities, challenging traditional classifications of elastic and elasto-inertial turbulence.
Contribution
It uncovers the coexistence and interdependence of two turbulent states in viscoelastic flows, fundamentally altering the understanding of turbulence in such fluids.
Findings
Identification of two distinct turbulent states in viscoelastic flows.
Demonstration that traditional categories of turbulence are insufficient.
Evidence of turbulence at vanishing Reynolds numbers.
Abstract
Based on everyday experience fluid flows tend to be ordered and quiescent if inertial forces are low and held in check by viscosity. This intuition spectacularly fails in the case of complex macromolecular fluids like polymer melts, paints and biofluids. In such cases elastic fluid properties can drive turbulent motions at moderate and even vanishing Reynolds numbers. By studying viscoelastic flows in curved pipes we demonstrate that this low inertia phenomenology results from the competition of two hydrodynamic instabilities and respectively from the co-existence and interdependence of two distinct turbulent states. Unexpectedly the established categories of elastic and elasto-inertial turbulence (ET and EIT) fail to demarcate the actual turbulent states, fundamentally changing the perception of this phenomenon a century after its discovery.
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Taxonomy
TopicsRheology and Fluid Dynamics Studies · Particle Dynamics in Fluid Flows · Fluid Dynamics and Turbulent Flows
