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This is a Quantitative Study study.

September 30, 2025Journal of Fluid MechanicsOpen Access

Linear and nonlinear instabilities in highly shear-thinning fluid flow through a pipe

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Numerical analysis reveals linear instability in shear-thinning fluids, indicating complex transition phenomena.

Linear instability occurs when the power-law index is below 0.35, revealing fundamental insights into fluid behavior.
Finite-amplitude travelling-wave solutions bifurcate subcritically from the linear point, showing new dynamics in flow stability.
The viscosity ratio can significantly influence instability behavior, underscoring the complexities of shear-thinning fluids.
These fluids exhibit sublaminar drag reduction, a behavior distinct from what is possible in Newtonian fluids.

He et al. (2025) studied this question.

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