Slightly compressible Brinkman–Forchheimer equations in a bounded 3D domain with Dirichlet boundary conditions are considered. These model fluids motion porous media. The dissipativity of these higher order energy spaces is obtained and regularity smoothing properties the solutions studied. In addition, existence global an exponential attractors for natural phase space verified.

In this paper, we apply local discontinuous Galerkin (LDG) methods to compressible wormhole propagation with Darcy–Forchheimer model. We consider two time integrations up second-order accuracy and prove the stability of fully-discrete schemes. There are several difficulties. Firstly, different from most previous works discussing propagations, use LDG have deal inter-element discontinuities, lea...

The flow of fluids with pressure-dependent viscosity in free-space and porous media is considered this study. interest to employ the physical model through a layer down an inclined plane order derive velocity expressions that can be used as entry conditions study two-dimensional flows channels. generalized equations Darcy, Forchheimer Brinkman are work. Â

Latent heat storage in a shell-tube is promising method to store excessive solar for later use. The unit filled with phase change material PCM combined high porosity anisotropic copper metal foam (FM) of thermal conductivity. PCM-MF composite was modeled as an porous medium. Then, two-heat equation mathematical model, local non-equilibrium approach LTNE, adopted consider the effects difference ...

The present article discusses the solute transport process in steady laminar blood flow through a non-Darcy porous medium, as model for drug movement vessels containing deposits. Darcy–Brinkman–Forchheimer drag force formulation is adopted to mimic sparsely packed domain, and vessel approximated an impermeable cylindrical conduit. conservation equations are implemented axisymmetric system (R, Z...

Aiming at nonlinear flow in fractured porous media, based on the finite volume method, discrete equations of Darcy and Forchheimer fracture were derived, a solution method for coupling is proposed. The by proposed single intersecting verified against Frih’s solution. Based this behavior rock deep-buried tunnels under high water heads was discussed. results show that hydraulic gradient surroundi...