Sintered metal porous media currently plays an important role in air bearing systems. When flowing through porous media, the flow properties are generally represented by incompressible Darcy-Forchheimer regime or Ergun regime. In this study, a modified Ergun equation, which includes air compressibility effects, is developed to describe friction characteristic. Experimental and theoretical inves...

Abstract The final value problem for the Brinkman–Forchheimer–Kelvin–Voigt equations is analysed quadratic and cubic types of Forchheimer nonlinearity. main term in allowed to be fully anisotropic. It shown that solution depends continuously on data provided satisfies an a priori bound $$L^3.$$ L <m...

In this paper, we study the existence of global attractor a class three-dimensional Brinkman-Forchheimer equation in some unbounded domains which satisfies Poincaré inequality. We use tail estimation method to establish asymptotic compactness solution operator and then prove [see formula PDF].

Groundwater is an important factor of slope stability, and 90% of slope failures are related to the influence of groundwater. In the past, free surface calculations and the prediction of water inflow were based on Darcy's law. However, Darcy's law for steady fluid flow is a special case of non-Darcy flow, and many types of non-Darcy flows occur in practical engineering applications. In this pap...

ABSTRACT. The non-linear Forchheimer equations are considered as laws of hydrodynamics in porous media in case of high Reynolds numbers, when the fluid flows deviate from the ubiquitous Darcy’s law. In this article, the dynamics of generalized Forchheimer equations for slightly compressible fluids are studied by means of the resulting initial boundary value problem for the pressure. We prove th...

In this paper, numerical study of forced convection heat transfer in a square cavity with inlet and outlet slots and hot obstacle with and without porous medium was investigated. The walls of cavity in addition of inlet and outlet ports are thermally insulated and the obstacle is maintained at constant temperature. A lattice Boltzmann model for incompressible flow in porous media and Brinkman F...