BACKGROUND Shape memory polymer (SMP) foams are being investigated as an alternative aneurysm treatment method to embolic coils. The goal of both techniques is the reduction of blood flow into the aneurysm and the subsequent formation of a stable thrombus, which prevents future aneurysm rupture. The purpose of this study is to experimentally determine the parameters, permeability and form facto...

This discussion intends to scrutinize the Darcy–Forchheimer flow of Casson–Williamson nanofluid in a stretching surface with non-linear thermal radiation, suction and heat consumption. In addition, this investigation assimilates influence Brownian motion, thermophoresis, activation energy binary chemical reaction effects. Cattaneo–Christov heat-mass flux theory is used frame nanoparticle concen...

We prove that some time Euler schemes for the 3D Navier-Stokes equations modified by adding a Brinkman-Forchheimer term and random perturbation converge in $L^2(\Omega)$. This extends previous results concerning strong rate of convergence discretization 2D Navier Stokes equations. Unlike case, our proposed model with allows order almost 1/2, is independent viscosity parameter.

Fractured karstic carbonate reservoirs have obvious multi-scale characteristics and severe heterogeneity due to the development of abundant karst caves fractures with different scales. Darcy non-Darcy flows coexist this property. Therefore, selecting appropriate flow equations for regions in numerical simulation fluid flows, particularly two-phase multiphase is a critical topic. This paper comp...

The present numerical work examines the effect of fractional order parameter on heat transfer and entropy generation for a thermo-magnetic convective flow nanofluid (Cu-water) in square porous enclosure that contains semi-circular bottom wall. Darcy–Brinkmann–Forchheimer model is utilized to evaluate momentum media, Caputo-time derivative term introduced as well energy equation. Further, non-di...

The effect of non-uniform heat generation on an unsteady MHD laminar boundary layer flow of viscous, incompressible fluid over a vertical stretching plate embedded in a sparsely packed porous medium is investigated numerically. The flow in the porous medium is governed by Brinkman-Forchheimer extended Darcy model. The variation of porosity, permeability and thermal conductivity is assumed. By a...

The problem of hydrodynamic dispersion in non-Darcy free convection heat and mass transfer from vertical surface embedded in a porous medium has been presented. The Forchheimer extension is considered in the flow equations. The flow, temperature and concentration fields in Darcy and non-Darcy porous media are observed to be governed by complex interactions among the diffusion rate Le, buoyancy ...

Our study is based on a column experiment of water flow through a porous granular bed. In Part 1 we propose eight methods to derive parameters of flow models based on measurement data. These parameters are permeability and Forchheimer coefficient for Darcy’s and Forchheimer’s laws. The approach presented in this part uses two numerical models to perform simulations of flow. One model is based o...

In the present work, forced convection heat transfer of slip flow in porous micro-tubes with local thermal non-equilibrium between the gas and the solid matrix is investigated numerically. For this purpose, the flow is considered hydrodynamically developed but thermally developing. The Darcy-Brinkman-Forchheimer model in conjunction with separate energy equations for the gas and the solid matri...

Transient water table systems under the influence of decaying groundwater mounds are studied in terms of the Dupuit-Forcheimer approximation, its linearization and linear potential theory. Parabolic mounds spreading and shrinking due to gravity and évapotranspiration are derived from the general class defined by PolubarinovaKochina (1945). The penetration curves are calculated as characteristic...