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This work investigates non-stationary helical flows of non-Newtonian fluids driven by gravity.

Non‐Stationary Helical 3D Rivulet‐Flows of Viscous‐Plastic Incompressible Non‐Newtonian Fluid

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Analytical investigation of helical flows in viscous-plastic non-Newtonian fluids, implying new insights into fluid dynamics.

This work investigates non-stationary helical flows of non-Newtonian fluids driven by gravity.
Analyzed helical flow dynamics under a constant Bernoulli function.
Studied momentum, continuity equations, and components of the stress tensor.
Derived conditions for the existence of exact solutions for the flow.
Identified the spatial and time-dependent structure of the pressure field.
Provided exact solutions for specific conditions in helical flows for the first time.
Demonstrated the dependence of velocity on the curl field in the flow structure.

Ershkov et al. (2026) studied this question.

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