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arXiv · 2508.04617

Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity

María Anguiano·Francisco J. Suárez-Grau
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Abstract

In this paper, we derive an extension of the Reynolds law for quasi-Newtonian fluid flows through a thin domain with thickness $0<\varepsilon\ll 1$ with viscosity obeying the Carreau law without high-rate viscosity, by applying asymptotic analysis with respect to $\varepsilon$. This provides a framework for understanding how the non-Newtonian effects and the thickness of the domain (which is significantly smaller than the other dimensions) influence its flow behavior.

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María Anguiano, Francisco J. Suárez-Grau. 2025-08-06. Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity. https://doi.org/10.1007/s41808-026-00468-2

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