6 papers
Influence of the Reynolds number on non-Newtonian flow in thin porous media
Maria Anguiano, Matthieu Bonnivard, Francisco J. Suarez-Grau
We study the effect of the Reynolds number on the flow of a generalized Newtonian fluid through a thin porous medium in . This medium is a domain of thickness $\varep…
Modeling of a micropolar thin film flow with rapidly varying thickness and non-standard boundary conditions
MarÃa Anguiano, Francisco J. Suárez-Grau
In this paper, we study the asymptotic behavior of the micropolar fluid flow through a thin domain assuming zero Dirichlet boundary condition on the top boundary, which is rapidly…
Asymptotic analysis of the Navier-Stokes equations in a thin domain with power law slip boundary conditions
MarÃa Anguiano, Francisco J. Suárez-Grau
This theoretical study deals with the Navier-Stokes equations posed in a 3D thin domain with thickness , assuming power law slip boundary conditions, with an an…
Modeling of a non-Newtonian thin film passing a thin porous medium
MarÃa Anguiano, Francisco J. Suárez-Grau
This theoretical study deals with asymptotic behavior of a coupling between a thin film of fluid and an adjacent thin porous medium. We assume that the size of the microstructure o…
Effective models for generalized Newtonian fluids through a thin porous medium following the Carreau law
Maria Anguiano, Matthieu Bonnivard, Francisco Javier Suarez-Grau
We consider the flow of a generalized Newtonian fluid through a thin porous medium of thickness , perforated by periodically distributed solid cylinders of size . We assume…
Modeling Carreau fluid flows through a very thin porous medium
MarÃa Anguiano, Matthieu Bonnivard, Francisco J. Suárez-Grau
This study investigates three-dimensional, steady-state, and non-Newtonian flows within a very thin porous medium (VTPM). The medium is modeled as a domain confined between two par…