The present paper aims at investigating the applicability of hybrid cells in the series model for pollution transport inside the layered porous media. For this purpose, four layers of rock material have fallen inside the experimental flume, with eight sensors installed longitudinally inside the media to obtain experimental BTCs. In order to measure time parameters of the model, named , two diff...

The Lattice Boltzmann (LB) method has been shown to be a highly efficient numerical method for solving fluid flow in confined domains such as pipes, irregularly shaped channels or porous media. Traditionally the LB method has been applied to flow in void regions (pores) and no flow in solid regions. However, in a number of scenarios, this may not suffice. That is partial flow may occur in semi-...

This paper introduces a new localized approach to construct an efficient reduced order model for fluid flow simulation and optimization in porous media flow. For nonlinear systems, one of the most common methodology used is the proper orthogonal decomposition (POD) combined with discrete empirical interpolation method (DEIM) due to its computational efficiency and good approximation. Whereas re...

In this talk we present a continuum model and numerical results for transient flows over and through porous media. First, we briefly discuss the derivation of the model and present an algorithm for its numerical treatment. Subsequently, we present results from direct numerical simulations for developing flows over porous layers of large porosity. Due to the steep velocity gradients across the i...

we present a conformal theory for the random fractal fields. As an example, the density of the porous matter is considered. The equation that expresses density in terms of a nonfractal field is evaluated. Assuming the hypothesis of scale and conformal symmetry for the latter, we derive the correlation functions for density. The log-normal conformal model is studied. @ 2001 Elsevier Science Ltd....

1 Fellow, ASME Abstract A semi-empirical model for conduction/convection in a thin “fin-like” porous wall of arbitrary composition and thickness is developed. The model assumes one-dimensional conduction in the porous matrix and one-dimensional flow of the coolant through the wall. Closed form solutions are obtained for a uniform composition and thickness porous wall having an insulated tip. An...

The topological complexity inherent to all porous media can impart complicated transport dynamics under steady flow conditions. Recently, it has been established [2] that such topological complexity imparts ubiquitous and persistent chaotic advection via a 3D fluid mechanical analogue of the baker’s map. In the presence of molecular diffusion, chaotic Lagrangian dynamics are well-known to impar...

A new model for turbulent flows in porous media developed in an accompanying paper [F.E. Teruel, Rizwan-uddin, A new turbulence model for porous media flows. Part I: Constitutive equations and model closure, Int. J. Heat Mass Transfer (2009), doi:10.1016/j.ijheatmasstransfer.2009.04.017.], in which new definitions of the macroscopic turbulence quantities are introduced, is analyzed and validate...

In this work, total smooth air-water interfacial areas were measured for a series of nine natural and model sandy porous media as a function of water saturation using synchrotron X-ray microtomography. Interfacial areas decreased linearly with water satuation, while the estimated maximum interfacial area compared favorably to the media geometric surface areas. Importantly, relative interfacial ...