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Taylor-vortex flow in shear-thinning fluids.

S Topayev1, C Nouar1, D Bernardin1

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This study reveals how shear-thinning fluids alter Taylor-Couette flow. Increased shear-thinning effects cause vortices to shift, impacting flow structure and reducing the pseudo-Nusselt number.

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Area of Science:

  • Fluid dynamics
  • Rheology
  • Non-Newtonian fluid mechanics

Background:

  • Taylor-Couette flow is a fundamental configuration for studying fluid dynamics.
  • Understanding non-Newtonian fluid behavior, particularly shear-thinning, is crucial in various industrial applications.
  • Viscosity variations significantly influence flow patterns.

Purpose of the Study:

  • To investigate the influence of viscosity stratification and nonlinear viscosity variation on shear-thinning fluid flow in the Taylor-vortex regime.
  • To provide a first-principles understanding of these effects on flow structure.
  • To analyze nonlinear effects using high-order amplitude expansion and numerical computations.

Main Methods:

  • Weakly nonlinear analysis using high-order amplitude expansion.
  • Numerical computation employing the Carreau model for shear-thinning behavior.
  • Systematic variation of rheological parameters in a wide gap configuration (η=0.4).

Main Results:

  • Increased shear-thinning leads to vortex squeezing towards the inner wall and axial shifting towards outflow boundaries.
  • Outflow regions strengthen, while inflow zones with low vorticity expand.
  • The pseudo-Nusselt number decreases, indicating reduced torque compared to laminar flow.
  • Higher harmonics become more significant and grow faster with increasing Reynolds number.

Conclusions:

  • Shear-thinning significantly modifies the flow structure in Taylor-Couette systems.
  • The observed changes in vortex dynamics and energy distribution have implications for transport phenomena.
  • The study provides a detailed description of the viscosity field modification under shear-thinning conditions.