Heat transfer analysis on rotating flow of a second-grade fluid past a porous plate with variable suction.
High resolution methods for the Buckley-Leverett equation.
Homogénéisation d'équations hyperboliques du premier ordre et application aux écoulements miscibles en milieu poreux
Homogenization of a dual-permeability problem in two-component media with imperfect contact
In this paper, we study the macroscopic modeling of a steady fluid flow in an -periodic medium consisting of two interacting systems: fissures and blocks, with permeabilities of different order of magnitude and with the presence of flow barrier formulation at the interfacial contact. The homogenization procedure is performed by means of the two-scale convergence technique and it is shown that the macroscopic model is a one-pressure field model in a one-phase flow homogenized medium.
Homogenization of a one-dimensional model for compressible miscible flow in porous media
We discuss the homogenization of a one-dimensional model problem describing the motion of a compressible miscible flow in porous media. The flow is governed by a nonlinear system of parabolic type coupling the pressure and the concentration. Using the technique of renormalized solutions for parabolic equations and a compensated compactness argument, we prove the stability of the homogenization process.
Homogenization of a three-phase composites of double-porosity type
In this work we consider a diffusion problem in a periodic composite having three phases: matrix, fibers and interphase. The heat conductivities of the medium vary periodically with a period of size ( and ) in the transverse directions of the fibers. In addition, we assume that the conductivity of the interphase material and the anisotropy contrast of the material in the fibers are of the same order (the so-called double-porosity type scaling) while the matrix material has a conductivity of...
Homogenization of free boundary oscillations of an inviscid fluid in a porous reservoir
Homogenization of the compressible Navier–Stokes equations in a porous medium
We study the homogenization of the compressible Navier–Stokes system in a periodic porous medium (of period ) with Dirichlet boundary conditions. At the limit, we recover different systems depending on the scaling we take. In particular, we rigorously derive the so-called “porous medium equation”.
Homogenization of the compressible Navier–Stokes equations in a porous medium
We study the homogenization of the compressible Navier–Stokes system in a periodic porous medium (of period ε) with Dirichlet boundary conditions. At the limit, we recover different systems depending on the scaling we take. In particular, we rigorously derive the so-called “porous medium equation”.
Homogenized model for flow in partially fractured media.
Homogenized models for a short-time filtration in elastic porous media.
HOT-pressing process modeling for medium density fiberboard (MDF).
Hydrodynamic effect on the three-dimensional flow past a vertical porous plate.
Hydrodynamic flow between rotating eccentric cylinders with suction at the porous walls.
Hysteresis in filtration through porous media.