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Influence of plasticity on inertialess viscoelastic instabilities in elongational flow regimes

V. Dzanic1, C. S. From2, and E. Sauret1,*

  • *emilie.sauret@qut.edu.au
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Phys. Rev. Fluids 9, 063301 – Published 3 June, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.063301

Abstract

Many important practical applications involving porous media, cosmetics, biological systems, and food processing involve the transport of non-Newtonian fluids, which possess nonlinear material properties. Elastoviscoplastic fluids are indeed a complex example, simultaneously involving viscous, elastic, and plastic properties. In this study, we conduct numerical simulations of elastoviscoplastic fluids using a hybrid lattice Boltzmann solver in order to investigate the impact of plasticity, characterized by the Bingham number, on inertialess viscoelastic instabilities at high Weissenberg numbers. Results obtained using the four-roll mill and cellular-forcing scheme benchmark cases, which produce a strong elongational flow regime, reveal the emergence of three distinct flow states over time, namely a gradual shift from a laminar steady state to periodic orbits and ultimately evolving into aperiodic flow fluctuations during the late stages. The transition and behavior between these different flow states are found to strongly depend on the interplay between elasticity and plasticity. We demonstrate that the general effect of the Bingham number is to increase the unyielded regions in the fluid, which although appears initially contained in the vortical regions, naturally emerges in the vicinity of the polymer birefringent strands over time. The eventual effect is to laminarize and suppress the flow fluctuations of the viscoelastic instability in the late stages. Ultimately, this work demonstrates the impact of plasticity on the already complex inertialess viscoelastic instabilities that develop in the presence of strong elongational flow regimes, wherein the results provide an avenue for controlling the instability mechanism.

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Phys. Rev. Fluids 9, 063301– Published 3 June, 2024
  • Received 25 January 2024
  • Accepted 6 May 2024
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