3D-porous anisotropic solids are fabricated by using horizontally and vertically aligned assemblies of silica rods with a length of ca. 2 μm and a diameter of 500 nm as templates. Templated materials include examples from metals, semiconductors, ceramics, and polymers, Ni, Si, HfO2, and PMMA, respectively. By varying the infilling conditions, the detailed mesoscale structure and degree of aniso...

An analysis has been carried out to obtain the free convective heat and mass transfer characteristics of an incompressible MHD viscoelastic fluid flow immersed in a porous medium of variable permeability bounded by an infinite porous vertical plate in slip flow regime in the presence of a transverse magnetic field with heat source and radiation effects. The permeability of the porous medium dec...

Plume dilution and transverse mixing can be considerably enhanced by helical flow occurring in three-dimensional heterogeneous anisotropic porous media. In this study, we perform tracer experiments in a fully three-dimensional flow-through chamber to investigate the effects of helical flow on plume spiraling and deformation, as well as on its dilution. Porous media were packed in angled stripes...

We propose a method for the direct inversion of the permeability field of a porous medium from the analysis of the displacement of a passive tracer. By monitoring the displacement front at successive time intervals (for example, using a tomographic method), the permeability can be directly obtained from the solution of a nonlinear boundary-value problem. Well posedness requires knowledge of the...

The emergence of structure in reactive geofluid systems is of current interest. In geofluid systems, the fluids are supported by a porous medium whose physical and chemical properties may vary in space and time, sometimes sharply, and which may also evolve in reaction with the local fluids. Geofluids may also experience pressure and temperature conditions within the porous medium that drive the...

In this paper, we present the calculation of the effective parameters of an artificial medium made of planar conducting obstacles. The evaluation of both the effective permittivity and of the effective permeability is addressed here. It is well known that this type of artificial medium exhibits anisotropy. One possible application for this artificial medium is the fabrication of non-homogeneous...

A degenerate nonlinear nonlocal evolution equation is considered; it can be understood as a porous medium equation whose pressure law is nonlinear and nonlocal. We show the existence of sign changing weak solutions to the corresponding Cauchy problem. Moreover, we construct explicit compactly supported selfsimilar solutions which generalize Barenblatt profiles — the well-known solutions of the ...

We show that the Euclidean Wasserstein distance between two compactly supported solutions of the one–dimensional porous medium equation having the same center of mass decays to zero for large times. As a consequence, we detect an improved L1–rate of convergence of solutions of the one–dimensional porous medium equation towards well–centered self–similar Barenblatt profiles, as time goes to infi...

A commonly used model for a transversely anisotropic crack rock is that by Hudson (1980, 1981). This model is based on a simplified analysis of a thin circular crack, with displacement and stress conditions specified on the boundary. These papers have a second order correction in addition to the first order term in porosity/crack density. In this paper we compare the results of Hudson with thos...

A stable method of calculation of the electromagnetic response of planar anisotropic laminates to an active source with limited distribution along the strata direction is developed. The laminates can be sandwiched between isotropic, anisotropic, or perfectly conducting covers/substrates. The source is either inside the laminates or in the cover or substrate. Based on the propagator matrix metho...