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Area of Science:

  • Complex Fluids
  • Nonlinear Dynamics
  • Rheology

Background:

  • Extended objects in shear flow exhibit nonlinear phenomena like rheochaos and elastic turbulence.
  • These phenomena involve anisotropic objects, suggesting similar contributions to deviatoric stress.
  • Previous research has treated these fields independently, lacking a unifying framework.

Purpose of the Study:

  • To connect the fields of rheochaos and elastic turbulence.
  • To develop a minimal model capturing statistical features of both phenomena.
  • To investigate the role of anisotropic object nature in fluid dynamics.

Main Methods:

  • Numerical analysis of nonlinear hydrodynamic equations for sheared nematic fluids.
  • Incorporation of a nematic alignment tensor to represent anisotropic objects.
  • Simulation under both shear stress and strain rate controlled conditions.

Main Results:

  • The minimal model successfully reproduces statistical features of rheochaos and elastic turbulence.
  • Signatures of spatiotemporal chaos and transient shear banding were observed.
  • Chaotic regimes exhibited power-law behavior in power spectra and non-Gaussian distributions for injected power.

Conclusions:

  • A unified dynamical system based on a nematic alignment tensor can describe phenomena in both rheochaos and elastic turbulence.
  • The observed dynamical features in the chaotic regime resemble those of elastic turbulence.
  • Scaling behavior is consistent across different control methods (shear rate/stress).