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22 papers · 1 filter
A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions
Matthieu Bonnivard, Igor Pažanin, Francisco J. Suárez-Grau
Inspired by the lubrication framework, in this paper we consider a micropolar fluid flow through a rough thin domain, whose thickness is considered as the small parameter $\varepsi…
Roughness-induced effects on the thermomicropolar fluid flow through a thin domain
Igor Pažanin, Francisco J. Suárez-Grau
In this paper, we study the asymptotic behavior of the thermomicropolar fluid flow through a thin channel with rough boundary. The flow is governed by the prescribed pressure drop…
Sharp pressure estimates for the Navier-Stokes system in thin porous media
María 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 periodicall…
Homogenization of a micropolar fluid past a porous media with non-zero spin boundary condition
Francisco J. Suárez-Grau
We consider a micropolar fluid flow in a media perforated by periodically distributed obstacles of size . A non-homogeneous boundary condition for microrotation is con…
Modeling of a micropolar thin film flow with rapidly varying thickness and non-standard boundary conditions
María 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
María 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…