5 papers
Navier slip effects in micropolar thin-film flow: a rigorous derivation of Reynolds-type models
María 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
María 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…
Modeling non-Newtonian fluids in a thin domain perforated with cylinders of small diameter
María Anguiano, Francisco J. Suárez-Grau
We consider the flow of a generalized Newtonian fluid through a thin porous medium of height perforated with -periodically distributed solid cylinders…
Darcy's law for micropolar fluid flow in a periodic thin porous medium
María Anguiano, Francisco J. Suárez-Grau
In this paper, we extend the Darcy law for micropolar fluid flow in a thin porous medium. This provides a framework for understanding how a fluid's microstructural properties, the…
Analysis of the Darcy-Brinkman flow with viscous dissipation and non-homogeneous thermal boundary condition
Igor Pažanin, Francisco J. Suárez-Grau
This study investigates the steady-state Darcy-Brinkman flow within a thin, saturated porous domain, focusing on the effects of viscous dissipation and non-homogeneous boundary con…