The article deals with the flow in a complex area. composition of this region consists porous medium through pores which liquid moves and zone without framework (free zone). is modeled using an interpenetrating heterogeneous model. In one-dimensional case, analytical solution obtained. This compared learned by move node method. An analysis made experimental data Brinkman layer. A numerical two-...

The problem of buoyancy-driven convection in a ferromagnetic fluid saturated porous medium with the Maxwell-Cattaneo law and MFD viscosity is investigated by method small perturbation. motion described using Brinkman model. It assumed that solid matrices are local thermal equilibrium. For simplified boundary conditions, eigenvalue solved exactly, closed form solutions for stationary instability...

We present a well-posed model for the Stokes/Brinkman problem with jump embedded boundary conditions (J.E.B.C.) on an immersed interface. It is issued from a general framework recently proposed for fictitious domain problems. Our model is based on algebraic transmission conditions combining the stress and velocity jumps on the interface Σ separating the fluid and porous domains. These condition...

Heat transfer in a porous medium over a stretching surface with injection or suction is studied. Two standard kinds of thermal boundary conditions are used for the surface. Isothermal and Iso-flux boundary conditions for the stretching surface are two standard boundary conditions which are used and discussed in the present work. Brinkman model is used for the medium. The governing equations are...

We study the asymptotic behavior of the infinite Darcy-Prandtl number DarcyBrinkman-Boussinesq system for convection in porous media at small Brinkman-Darcy number. The existence of a boundary layer with thickness proportional to the square root of the BrinkmanDarcy number for the velocity field is established in both the L∞(H1) norm (2 and 3 d) and the L∞(L∞) norm (2d only). This improves an e...

The direction splitting approach proposed earlier in [7], aiming at the efficient solution of Navier-Stokes equations, is extended and adopted here to solve the Navier-Stokes-Brinkman equations describing incompressible flows in pure fluid and in porous media. The resulting pressure equation is a perturbation of the incompressibility constraint using a direction-wise factorized operator as prop...

a numerical investigation of forced convection in a channel with hot solid block inside a square porous block mounted on a bottom wall was carried out. the lattice boltzmann method was applied for numerical simulations. the fluid flow in the porous media was simulated by brinkman-forchheimer model. the effects of parameters such as porosity and thermal conductivity ratio over flow pattern and t...

Fluid flow through porous media is of great importance for many natural systems, such as transport of groundwater flow, pollution transport and mineral processing. In this paper, we propose and validate a novel finite volume formulation of the lattice Boltzmann method for porous flows, based on the Brinkman–Forchheimer equation. The porous media effect is incorporated as a force term in the lat...

In this article, we consider the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth system, which couples Brinkman flow equations in porous medium and Cahn–Hilliard type equation with nonlocal Ohta–Kawasaki term. We first construct a fully-decoupled discontinuous Galerkin method based on decoupled, stabilized energy factorization approach implicit-explicit Euler time discretization, strictly pro...