17 papers
Two-dimensional Carreau law for a quasi-newtonian fluid flow through a thin domain with a slightly rough boundary
MarÃa Anguiano, Francisco J. Suárez-Grau
This study investigates the asymptotic behavior of the steady-state quasi-Newtonian Stokes flow with viscosity given by the Carreau law within a thin domain, focusing on the effect…
Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity
MarÃa Anguiano, Francisco J. Suárez-Grau
In this paper, we derive an extension of the Reynolds law for quasi-Newtonian fluid flows through a thin domain with thickness with viscosity obeying the Carre…
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…
Navier slip effects in micropolar thin-film flow: a rigorous derivation of Reynolds-type models
MarÃa Anguiano, Igor Pažanin, Francisco J. Suárez-Grau
We study the stationary flow of incompressible micropolar fluid in a thin three-dimensional domain under Navier slip boundary condition for the velocity and no-spin condition for m…
On the effects of surface roughness in non-isothermal porous medium flow
MarÃa Anguiano, Igor Pažanin, Francisco J. Suárez-Grau
We analyze a non-isothermal Darcy-Brinkman thin-film flow with a periodically oscillating boundary and viscous dissipation acting as a heat source. Using asymptotic analysis and th…
Sharp pressure estimates for the Navier-Stokes system in thin porous media
MarÃa Anguiano, Francisco J. Suárez-Grau
A relevant problem for applications is to model the behavior of Newtonian fluids through thin porous media, which is a domain with small thickness and perforated by periodical…