In this paper we outline an approach by Γ-convergence to some problems related to ‘double-porosity’ homogenization. Various such models have been discussed in the mathematical literature, the first rigorous result for a linear double-porosity model having been obtained by Arbogast, Douglas and Hornung in [7]. The two-scale convergence approach to double-porosity problems was developed by Allair...

“Multi-scale, multi-components, multi-phases” are the key words that characterize the double porosity media, like fissured rocks, aggregated soils or composite geomaterials, subject to environmental conditions. In relation to this context an integrated upscaling approach to the modelling of water flow and solute transport under unsaturated conditions in double porosity media, is presented. The ...

In the membrane-based bioartificial livers developed up to now, the hepatic cells were located either in the fibers lumen or in the cartridge, with limited capacity for cell hosting. Here, we designed a polysulfone (PSU) membrane with a double porosity level: (i) surface macroporosity emerging in macrochambers accessible to hepatic cell colonization; (ii) microporosity to ensure gas and molecul...

We introduce a novel approach for synthesizing mesoporous hydroxyapatite (HAp, (Ca)10, (PO4)6(OH)2) using double emulsion droplets as microreactors. By using capillary microfluidic techniques, the size and the geometry of the droplet microreactors can be tuned easily. Double emulsion droplets offer the combined advantages of both shielding the reactants and on-demand addition of reactants; this...

A dynamic two dimensional problem of thermoelasticity with double porous structure has been considered to investigate the disturbance due to normal force and thermal source. Laplace and Fourier transform technique is applied to the governing equations to solve the problem. The transformed components of stress and temperature distribution are obtained .The resulting expressions are obtained in t...