0017-9310/$ see front matter 2010 Elsevier Ltd. A doi:10.1016/j.ijheatmasstransfer.2010.11.043 ⇑ Corresponding author. Tel.: +82 53 950 7951; fax E-mail addresses: [email protected] (M. Sa (Y. Park), [email protected] (J.M. Lopez), yhdo@knu In this paper natural convection flows in a vertical annulus filled with a fluid-saturated porous medium has been investigated when the inner wall is ...

steady state natural convection of al2o3-water nanofluid inside a square cavity filled with a porous medium is investigated numerically. the temperatures of the two side walls of the cavity are maintained at th and tc, where tc has been considered as the reference condition. the top and the bottom horizontal walls have been considered to be insulated i.e., non-conducting and impermeable to mass...

The coupled Darcy–Stokes problem is widely used for modeling fluid transport in physical systems consisting of a porous part and free part. In this work we consider preconditioners monolithic solution algorithms the problem, where Darcy primal form. We employ operator preconditioning framework utilize fractional solver at interface between problems to obtain order optimal schemes that are robus...

Mathematical models of fluid exchange in the microcirculation can help to understand complex processes and may guide treatment of diseases in the future. To this end, a model with reduced computational demand is investigated making it possible to model large networks of vessels in interaction with the surrounding tissue. We derive a reduced model from a spatially resolved model and assess the e...

The unsteady two-dimensional laminar g-Jitter mixed convective boundary layer flow of Cu-water and Al2O3-water nanofluids past a permeable stretching sheet in a Darcian porous is studied by using an implicit finite difference numerical method with quasi-linearization technique. It is assumed that the plate is subjected to velocity and thermal slip boundary conditions. We have considered tempera...

A rigorous solution is developed from first principles to guide the preliminary design of cutoff walls installed to contain the migration of contaminants from source zones. The full analytic solution is used to develop a criterion for determining the configuration and hydraulics of optimal wall designs. The solution is used to demonstrate the interaction between the properties of the wall, the ...

Analysis of non-laminar flows in coarse alluvial beds has a wide range of applications in various civil engineering, oil and gas, and geology problems. Darcy equation is not valid to analyze transient and turbulent flows, so non-linear equations should be applied. Non-linear equations are classified into power and binomial equations. Binomial equation is more accurate in a wide range of velocit...

In this article we investigate the numerical approximation of the Darcy equations in an axisymmetric domain, subject to axisymmetric data. Rewriting the problem in cylindrical coordinates reduces the 3-D problem to a problem in 2-D. This reduction to 2-D requires the numerical analysis to be studied in suitably weighted Hilbert spaces. In this setting the Raviart-Thomas (RT) and Brezzi-Douglas-...

This note aims to give a brief account on some recent progress of the simulation techniques of stochastic processes associated to divergence-form opertors with discontinuous coefficients, such as the one used in the Darcy law.

Least stable mode of convective flow, induced by external pressure gradient and buoyancy force in the vertical pipe filled with porous medium, is investigated. Non-Darcy Brinkman-extended model has been considered. To study least stable mode of the fully developed flow linear theory of stability analysis has been used for an wide range [0.01, 100] of Prandtl number (Pr). To this end, coupled or...