Elasticity of fibres prefers the chaos of turbulence

TL;DR

This paper investigates how elastic and inertial properties of fibres influence their sampling of turbulent flows, revealing complex behaviors and chaotic dynamics driven by the interplay of inertia and elasticity.

Contribution

It introduces a detailed analysis of inertial elastic fibres in turbulence, highlighting how inertia and elasticity jointly affect fibre sampling and flow dynamics, including chaos quantification.

Findings

Inertia drives fibres away from vortices, elasticity traps them inside.

Large inertia leads to more uniform flow sampling.

High elasticity enhances sampling of straining regions.

Abstract

The dynamics of fibres, modelled as a sequence of inertial beads linked via elastic springs, in turbulent flows is dictated by a non-trivial interplay of their inertia and elasticity. Such elastic, inertial fibres preferentially sample a three-dimensional turbulent flow in a manner qualitatively similar to that in two-dimensions [Singh et al., Phys. Rev. E 101, 053105 (2020)]. Inertia and elasticity have competing effects on fibre dynamics: Inertia drives fibres away from vortices while elasticity tends to trap them inside. However, both these effects are reversed at large values. A large inertia makes the fibres sample the flow more uniformly while a very large elasticity facilitates the sampling of straining regions. This complex sampling behaviour is further corroborated by quantifying the chaotic nature of sampled flow regions. This is achieved by evaluating the maximal Lagrangian Lyapunov Exponents associated with the flow along fibre trajectories.