Modeling non-Newtonian fluids in a thin domain perforated with cylinders of small diameter
María Anguiano, Francisco J. Suárez‐Grau · arXiv (Cornell University) · 2025
We consider the flow of a generalized Newtonian fluid through a thin porous medium of height $h_\varepsilon$ perforated with $\varepsilon$-periodically distributed solid cylinders of very small diameter $\varepsilonδ_\varepsilon$, where the small parameters $\varepsilon, δ_\varepsilon$ and $h_\varepsilon$ are devoted to tend to zero. We assume that the fluid is described by the 3D incompressible Stokes system with a non-linear power law viscosity of flow index $1