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July 28, 2026Applicable Analysis

Influence of the Reynolds number on non-Newtonian flow in thin porous media

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Authors

MAMaría AnguianoMBMatthieu BonnivardFSFrancisco J. Suárez-Grau

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Overview

Randomized trial investigates flow behavior in thin porous media, highlighting critical Reynolds number implications.

Key Points

  • The research aims to understand how the Reynolds number affects the flow of non-Newtonian fluids through thin porous media.
  • Analyze flow using nonlinear stationary Navier-Stokes system with Carreau law viscosity.
  • Employ homogenization theory and dimension reduction techniques for thin domains.
  • Introduce mesh convergence analysis for numerical solutions in the critical case.
  • Identified a critical Reynolds number of order 1/ε that determines inertial effects in flow.
  • For Reynolds numbers ≤1/ε, inertial terms are negligible, leading to different forms of Darcy's law.
  • For Reynolds numbers >1/ε, inertial effects dominate, resulting in the failure of classical Darcy's law.

Cite This Study

Anguiano et al. (2026) studied this question.

synapsesocial.com/papers/6a6850eb2845b684d16f0023https://doi.org/10.1080/00036811.2026.2702475
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