Seepage in a medium packed with particles of variable granular size can be seen in many fields of engineering applications. Due to the relative complex spatial aspect of pore geometry, there are notable differences in the critical parameters of flow transition (Reynolds number and Forchheimer number) between different structures. It is difficult to distinguish the available range of seepage equ...

Deterministic models of fluid flow and the transport of chemicals in flows in heterogeneous porous media incorporate partial differential equations (PDEs) whose material parameters are assumed to be known exactly. To tackle more realistic stochastic flow problems, it is fitting to represent the permeability coefficients as random fields with prescribed statistics. Traditionally, large numbers o...

The results of some existing theoretical and experimental studies hydraulic resistances open flows in moving channels are considered. Possible reasons for the inconsistency various resistance with increased roughness indicated. analysis mass field data on Darcy (Shezi) coefficient canals alluvial soils a sandy mobile bed is carried out. It was confirmed that these categories characterized by mi...

For the manufacturing of composite materials with textile reinforcement, the permeability of the textile is a key characteristic. Using the law of Darcy, permeability can be derived from a numerical simulation of the fluid flow, i.e. by solving the Navier-Stokes or Brinkman equations. In this paper we present the results of simulations with two different flow solvers: a finite difference Navier...

In this talk we consider a Darcy flow problem coupled with a deposition function. Our model arises in the context of filtration, where a fluid carrying some particulate flows through some porous medium. As the particulate deposits, the porosity of the filter changes, modifying the flow conditions. In the talk we will motivate the model, discuss the existence and uniquess of our problem, provide...

This paper is concerned with the study of the peristaltic flow of Herschel – Bulkley fluid in an inclined flexible channel lined with porous material under long wave length and low Reynolds number assumptions. This model may be applicable to describe blood flow in the sense that erythrocytes region and the plasma regions may be described as plug flow and non-plug flow regions. The effect of yie...

The use of a constraint (indefinite) preconditioner for the iterative solution of the linear system arising from the finite element discretization of coupled Stokes–Darcy flow is studied. Spectral and field-of-values bounds for the preconditioned system which are independent of the underlying mesh size are presented. Numerical experiments on several twoand three-dimensional problems illustrate ...

In this paper, Forchheimer equation is used as the constitutive equation for flow through rockfill, and the non-linear two-dimensional governing equation with free surface is solved by a new finite element method in a fixed grid. The model is verified by applying it to different flow conditions. The first scenario, which is assumed to be one-dimensional with analytical solution available for it...

In this paper, Forchheimer equation is used as the constitutive equation for flow through rockfill, and the non-linear two-dimensional governing equation with free surface is solved by a new finite element method in a fixed grid. The model is verified by applying it to different flow conditions. The first scenario, which is assumed to be one-dimensional with analytical solution available for it...

When one thinks about porous media, the immediate concepts that come to mind are porosity, permeability and Darcy’s law. The latter is probably one of the most important tools in hydrodynamics and engineering presenting numerous applications in oil recovery, chemical engineering, nuclear safety and many other engineering field. It has been first formulated by the French engineer Henri Darcy in ...