The airflow in dairy barns is affected by many factors, such as the barn’s geometry, weather conditions, configurations of openings, cows acting heat sources, flow obstacles, etc. Computational fluids dynamics (CFD) has advantages providing detailed information and allowing fully-controlled boundary therefore widely used livestock building research. However, due to limited computing power, nume...

Abstract Connectivity and connectedness are nonadditive geometric functionals on the set of pore scale structures. They determine transport mass, volume or momentum in porous media, because without connectivity there cannot be transport. Percolativity media is introduced here as a descriptor connectivity, that can computed from persists to macroscale through suitable upscaling limit. It measure...

We present modeling of an incompressible viscous flow through a fracture adjacent to a porous medium. A fast stationary flow, predominantly tangential to the porous medium is considered. Slow flow in such setting can be described by the Beavers-Joseph-Saffman slip. For fast flows, a nonlinear filtration law in the porous medium and a nonlinear interface law are expected. In this paper we rigoro...

A model coupling a three dimensional gas liquid compositional Darcy flow in a fractured porous medium, and a one dimensional compositional free gas flow is presented. The coupling conditions at the interface between the gallery and the porous medium account for the molar normal fluxes continuity for each component, the gas liquid thermodynamical equilibrium, the gas pressure continuity and the ...

Evaporation of saline solutions from a porous medium often leads to the precipitation of salt at the surface of the porous medium. It is commonly observed that the crystallized salt does not form everywhere at the porous medium surface but only at some specific locations. To explain this phenomenon, we consider efflorescence formation at the surface of a saturated heterogeneous porous column (f...

We study the asymptotic behavior of compressible isentropic flow through porous medium when the initial mass is finite. The model system is the compressible Euler equation with frictional damping. As t → ∞, the density is conjectured to obey to the well-known porous medium equation and the momentum is expected to be formulated by Darcy’s law. In this paper, we prove that any L∞ weak entropy sol...