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 report we present the results of simulations with two different flow solvers: a finite difference Navie...

The problem of Benard double diffusive Marangoni convection is investigated in a horizontally infinite composite layer system enclosed by adiabatic boundaries for Darcy model. This subjected to three temperature gradients with constant heat sources both the layers. lower boundary porous region rigid and upper fluid free effects. Eigenvalue ordinary differential equations solved closed form Ther...

abstract at present study constant rate of strain (crs) consolidation under non-darcy condition was investigated. in this study a governing conditions of drainage pore water were investigated using proposed equation. the crs experiments under different rates of strain were conducted on different soil samples. results these experiments and there comparison with proposed equation showed that flow...

The effect of pore-scale heterogeneity on non-Darcy flow behaviour is investigated by means of direct flow simulations on 3-D images of a beadpack, Bentheimer sandstone and Estaillades carbonate. The critical Reynolds number indicating the cessation of the creeping Darcy flow regime in Estaillades carbonate is two orders of magnitude smaller than in Bentheimer sandstone, and is three orders of ...

Natural convection (NC) in high permeable porous media is usually investigated using the Darcy–Lapwood–Brinkman model (DLB). The problem of squared cavity widely used as a common benchmark case for NC media. solutions to this with DLB are limited steady-state conditions. In paper, we developed time-dependent accurate solution based on Fourier–Galerkin method (FG). derived considering two config...

In this paper, we develop an a-priori error analysis of a new unified mixed finite element method for the coupling fluid flow with porous media in RN, N ∈ {2,3}, on isotropic meshes. Flows are governed by Stokes and Darcy equations, respectively, corresponding transmission conditions given mass conservation, balance normal forces, Beavers-Joseph-Saffman law. The approach utilizes modification p...

In this paper, we investigate the slip effects on the boundary layer flow and heat transfer characteristics of a power-law fluid past a porous flat plate embedded in the Darcy type porous medium. The nonlinear coupled system of partial differential equations governing the flow and heat transfer of a power-law fluid is transformed into a system of nonlinear coupled ordinary differential equation...

numerical study of double-diffusive natural convective heat transfer in a curved cavity filledwith a porous medium has been carried out in the current study. polar system has beenselected as coordinate system. as a result, all equations have been discredited in r and θdirections. brinkmann extended darcy model has been utilized to express fluid flow inporous matrix in the enclosure. smaller and...

In this paper, we first propose and analyze a novel mixed-type DG method for the coupled Stokes--Darcy problem on simplicial meshes. The proposed formulation is locally conservative. A in conjunction with stress-velocity employed Stokes equations, where symmetry of stress strongly imposed. staggered exploited to discretize Darcy equations. As such, discrete can be easily adapted account Beavers...

A framework is developed for a robust and highly accurate numerical solution of the coupled Stokes-Darcy system in three dimensions. The domain decomposition method based on Dirichlet-Neumann type splitting interface conditions solving separate Stokes Darcy problems iteratively. Second kind boundary integral equations are formulated each problem. use smoothing kernels that achieves high accurac...