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Active open-loop control of elastic turbulence.

Reinier van Buel1, Holger Stark2

  • 1Institute of Theoretical Physics, Technische Universität Berlin, Hardenbergstrasse 36, 10623, Berlin, Germany. r.vanbuel@tu-berlin.de.

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|September 25, 2020
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Summary
This summary is machine-generated.

Active control using shear-rate modulations can suppress elastic turbulence in viscoelastic fluids. Fast modulations restore laminar flow, while slow modulations maintain complex turbulent behavior, offering insights into fluid dynamics control.

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Area of Science:

  • Fluid Dynamics
  • Rheology
  • Non-Newtonian Flows

Background:

  • Elastic turbulence is an inherent instability in viscoelastic fluids.
  • Controlling fluid instabilities is crucial for various industrial applications.
  • The Oldroyd-B model is a standard for describing viscoelastic fluid behavior.

Purpose of the Study:

  • To investigate the effect of shear-rate modulations on elastic turbulence.
  • To identify control strategies for suppressing or modifying elastic turbulence.
  • To analyze the transition dynamics between laminar and turbulent states.

Main Methods:

  • Numerical solutions of the Oldroyd-B model.
  • Two-dimensional Taylor-Couette flow simulations.
  • Analysis of flow resistance and state diagrams.

Main Results:

  • Elastic turbulence onset can be controlled by shear-rate modulations.
  • Fast modulations suppress turbulence, recovering laminar flow.
  • Slow modulations lead to complex behaviors within the turbulent regime.
  • A supercritical transition to turbulence was observed at a critical Deborah number.

Conclusions:

  • Shear-rate modulation is an effective open-loop control for elastic turbulence.
  • The frequency of modulation dictates the fluid's response (laminar vs. turbulent).
  • The transition physics is complex under time-modulated shear flow, requiring further investigation.