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Critical-Layer Structures and Mechanisms in Elastoinertial Turbulence.

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Simulations reveal localized polymer stretch fluctuations in elastoinertial turbulence (EIT). These structures resemble critical-layer phenomena found in linear stability analyses, suggesting a potential origin for EIT dynamics.

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Area of Science:

  • Fluid Dynamics
  • Polymer Physics
  • Turbulence Studies

Background:

  • Elastoinertial turbulence (EIT) is a complex flow regime observed in viscoelastic fluids.
  • Understanding the micro-scale structures within EIT is crucial for predicting macroscopic behavior.
  • Previous analyses identified critical-layer structures in simpler flow models.

Purpose of the Study:

  • To investigate the origin of localized polymer stretch fluctuations in elastoinertial turbulence (EIT).
  • To compare structures observed in EIT simulations with those predicted by linear stability and resolvent analyses.
  • To explore the role of critical-layer dynamics in generating polymer stretching.

Main Methods:

  • Numerical simulations of polymer solutions undergoing EIT at low Reynolds numbers.
  • Analysis of localized polymer stretch fluctuations.
  • Comparison with theoretical structures from linear stability (Tollmien-Schlichting modes) and resolvent analyses.

Main Results:

  • Simulations of EIT demonstrated localized polymer stretch fluctuations.
  • These fluctuations exhibited strong similarities to critical-layer structures.
  • Computations of nonlinear Tollmien-Schlichting waves showed stagnation points generating sheets of large polymer stretch within the critical layer.

Conclusions:

  • The critical-layer kinematics observed in nonlinear Tollmien-Schlichting waves may be the source of similar structures in EIT.
  • This finding provides a potential mechanistic link between linear stability theory and nonlinear turbulent phenomena.
  • Further research can explore this connection to better understand and control viscoelastic turbulent flows.