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 ...

Darcy’s law has long been used to describe the flow in porous media. Despite progress that took place oil production industry research, it became clear there is a loss of pressure, especially area near wellbore region, where not applicable. For this reason, Forchheimer presented his equation 1910, he added new term dealing with pressure due inertial forces by introducing term, β coefficient, in...

The free conv ection boundary layer flow of a Darcy-Brinkman fluid that is induced by a constant-temperature horizontal semi-infinite surface embedded in a fluid-saturated porous medium is inv estigated in this work. It is shown that both the Darcy and Rayleigh numbers may be scaled out of the boundary layer equations, leav ing a parabolic system of equations with no parameters to vary. The equ...

In order to better understand groundwater influx and protection in coal mining extraction works, an in-house water flow apparatus coupled with an industrial rock testing system, known as MTS 815.02, were used to study the effects of grain size mixtures on the compaction and flow properties of disintegrated, or non-cemented, coal samples. From the Reynolds number evaluation of the samples with d...

In this article, we analyze the flow of a fluid through a domain modeled using the equations for generalized non-linear Stokes flow coupled with flow through a porous media, modeled using generalized non-linear Darcy flow equations. A prescribed flow rate is assumed specified along the inflow portion of the non-linear Stokes flow boundary. Existence and uniqueness of a variational solution to t...

Laminar convection of a fluid with a temperature-dependent viscosity in an enclosure filled with a porous medium is studied numerically based on a Lattice Boltzmann method. It is shown that the variation in viscosity has significant influences on both flow and heat transfer behaviours. In comparison with the results for constant viscosity, the fluid with variable viscosity exhibits a higher hea...

*Correspondence: [email protected] Department of Applied Mechanics, Chalmers University of Technology, Hörsalsvägen 7, 412 96 Göteborg, Sweden Abstract Background: Seepage in porous media is modeled as a Stokes flow in an open pore system contained in a rigid, impermeable and spatially periodic matrix. By homogenization, the problem is turned into a two-scale problem consisting of a Da...