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Nonmodal elastic instability and elastic waves in weakly perturbed channel flow

Ron Shnapp1,2 and Victor Steinberg1,3

  • 1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel
  • 2Swiss Federal Institute of Forest, Snow and Landscape Research WSL, 8903 Birmensdorf, Switzerland
  • 3The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel

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Phys. Rev. Fluids 7, 063901 – Published 15 June, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.063901

Abstract

In this paper, we present experimental results and reveal that strong perturbations are not necessary for elastic instability to occur in straight-channel, inertialess, viscoelastic flows at high elasticity. We show that a non-normal-mode bifurcation is followed by chaotic fluctuations, self-organized as streamwise streaks, and elastic waves due to weak disturbances generated by a small cavity at the center of the top channel wall. The chaotic flow persists in the transition, elastic turbulence, and drag reduction regimes, in agreement with previous observations for the case of strong perturbations at the inlet. Furthermore, the observed elastic waves propagate in the spanwise direction, which allows us to confirm the elastic waves' linear dispersion relation directly. In addition, the spanwise propagating elastic wave's velocity depends on Weissenberg number with the same scaling that was previously observed for streamwise propagating waves, although their velocity magnitude is significantly smaller than what was previously observed for the streamwise ones.

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Phys. Rev. Fluids 7, 063901– Published 15 June, 2022
  • Received 14 November 2021
  • Accepted 24 May 2022
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