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 paper we employ homogenization techniques to provide a rigorous derivation of the Darcy scale model for precipitation and dissolution in porous media proposed in [19]. The starting point is the pore scale model in [12], which is a coupled system of evolution equations, involving a parabolic equation and an ordinary differential equation. The former models ion transport and is defined in...

We present a method to efficiently simulate coronary perfusion in subject-specific models of the heart within clinically relevant time frames. Perfusion is modelled as a Darcy porous-media flow, where the permeability tensor is derived from homogenization of an explicit anatomical representation of the vasculature. To account for the disparity in length scales present in the vascular network, i...

The behavior of a particle mixture composed short fibers and silicon carbide powder in variable proportions has been experimentally investigated. study shows that the hydrodynamic bed initially is affected as soon few percent are added. minimum fluidization velocity (Umf) globally lowered intrinsic properties porous medium (equivalent diameter, porosity, flow coefficients…) altered. Several equ...

We propose and analyze a third-order in time numerical algorithm for the Stokes-Darcy system for flows in fluid saturated karst aquifers. A novel third-order Adams-Moulton scheme is used for the discretization of the dissipative term while a third-order explicit Adams-Bashforth scheme is utilized for the time discretization of the interface term. The scheme is efficient in the sense that one ne...

The goal of this work is to predict reasonable lifetime of a filter used to remove debris (e.g. foreign particles and gels) from the melt stream of an extrusion process. We are developing models which incorporate nonNewtonian porous media flow through a medium whose porosity changes as debris accumulates. Boundary conditions are based on the assumption of constant flow rate and coupling with ot...

Dissolution mechanisms in porous media may lead to unstable dissolution fronts (“wormholing”). It has been shown in the literature that Darcy-scale models may reproduce all the characteristics of such dissolution patterns. This paper considers the core-scale averaged behavior of these Darcy-scale dissolution models. The form of core-scale equations is discussed based on the volume averaging of ...

This study simulates natural convection flow resulting from heat partitions in an H-shaped enclosure filled with a nanofluid using incompressible smoothed particle hydrodynamics (ISPH) method. The right area of the is saturated non-Darcy porous media. center variable walls are kept at high-temperature Th. left and positioned low temperature Tc other adiabatic. In ISPH method, source term pressu...

Linear stability of double diffusive convection of Darcy-Maxwell fluid with Soret and Dufour effects is investigated. The effects of the Soret and Dufour numbers, Lewis number, relaxation time and solutal Darcy Rayleigh number on the stationary and oscillatory convection are presented graphically. The Dufour number enhances the stability of Darcy-Maxwell fluid for stationary convection while it...

In this paper we investigate the accuracy of a Darcy-scale model for competitive adsorption in a porous medium through comparison with a smoothed particle hydrodynamics (SPH) pore-scale model. SPH is a Lagrangian, particle based modeling method which uses the particles as interpolation points to directly discretize the governing equations of the system. The models consider a binary system of co...