Flows through nonhomogeneous porous media in an isolated environment

Flows through Nonhomogeneous Porous Media in an Isolated Environment

The nonhomogeneous gas or fluid flowing through a nonhomogeneous porous medium is studied. An interesting phenomenon is discussed which shows that the state of the flow is not affected by the surrounding environment if some hypotheses are made on the porosity of the gas, the viscosity, and the permeability of the medium. Such a state is called an isolated environment. The conditions under which...

High temperature and pressure reactive flows through porous media

Fluid flows through fractured porous media along Beavers-Joseph interfaces

We study a fluid flow traversing a porous medium and obeying the Darcy’s law in the case when this medium is fractured in blocks by an ε-periodic (ε > 0) distribution of fissures filled with a Stokes fluid. These two flows are coupled by a Beavers-Joseph type interface condition. The existence and uniqueness of this flow in our ε-periodic structure are proved. As the small period of the distrib...

Lattice Boltzmann model for incompressible flows through porous media.

In this paper a lattice Boltzmann model is proposed for isothermal incompressible flow in porous media. The key point is to include the porosity into the equilibrium distribution, and add a force term to the evolution equation to account for the linear and nonlinear drag forces of the medium (the Darcy's term and the Forcheimer's term). Through the Chapman-Enskog procedure, the generalized Navi...

An analysis of crystal dissolution fronts in flows through porous media part 2: incompatible boundary conditions

A model for transport of solutes in a porous medium participating in a dissolution– precipitation reaction, in general not in equilibrium, is studied. Ignoring diffusion– dispersion the initial value problem for piecewise constant initial states is studied, which e.g. for ionic species include a change of the ionic composition of the solution. The mathematical solution, nearly explicitly found ...