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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Arrow-shaped elasto-inertial rotating waves.

Jose M Lopez1,2, Sebastian A Altmeyer1

  • 1Department of Fisica Aplicada, Universitat Politècnica de Catalunya, Girona s/n, Modul B4 Campus Nord, 08034 Barcelona, Spain.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|March 12, 2023
PubMed
Summary
This summary is machine-generated.

Direct numerical simulations reveal a novel elasto-inertial rotating wave in polymer solutions undergoing Taylor-Couette flow. This flow features unique arrow-shaped polymer stretch structures, offering new insights into complex fluid dynamics.

Keywords:
Taylor–Couette flowbifurcationsinstabilityrotating wavesviscoelastic fluid

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Area of Science:

  • Fluid Dynamics
  • Polymer Physics
  • Computational Science

Background:

  • Taylor-Couette flow is a fundamental problem in fluid dynamics.
  • Understanding polymer solution behavior in complex flows is crucial for industrial applications.
  • Previous studies have explored various flow regimes, but elasto-inertial waves with specific structures remained elusive.

Purpose of the Study:

  • To investigate the dynamics of dilute polymer solutions in Taylor-Couette flow using direct numerical simulations.
  • To identify and characterize novel flow states, particularly those involving polymer elasticity.
  • To analyze the influence of system curvature, Reynolds number, and Weissenberg number on flow patterns.

Main Methods:

  • Direct numerical simulations (DNS) were employed to model the flow.
  • The finitely extensible nonlinear elastic-Peterlin (FENE-P) closure model was used for polymer dynamics.
  • Flow states were analyzed, focusing on the polymer stretch field and its alignment with the streamwise direction.

Main Results:

  • A novel elasto-inertial rotating wave was discovered, characterized by arrow-shaped polymer stretch structures.
  • These structures are aligned with the streamwise direction and depend on Reynolds and Weissenberg numbers.
  • New flow states with coexisting arrow-shaped and other structures were identified.

Conclusions:

  • The study demonstrates the existence of a unique elasto-inertial rotating wave in curved polymer flows.
  • The findings provide a detailed characterization of these structures and their dependencies.
  • This research contributes to the understanding of complex fluid behavior in Taylor-Couette systems.