We show that chaotic advection is inherent to flow through all types of porous media, from granular and packed media to fractured and open networks. The basic topological complexity inherent to all porous media gives rise to chaotic flow dynamics under steady flow conditions, where fluid deformation local to stagnation points imparts a 3D fluid mechanical analog of the baker's map. The ubiquito...

In this thesis multi-component mass transport in thin supported amorphous silica membranes is discussed. These membranes are micro-porous, with pore diameters smaller than 4Å and show high fluxes for small molecules (such as hydrogen) combined with high selectivities for these molecules with respect to larger ones. The chemical and thermal stability of silica membranes are favourable compared t...

In this article, we develop a set of partial differential equations describing the flow of a dusty fluid in variable porosity media. The developed equations take into account the effect of the porous microstructure on the flowing phases. We presented and overview of the equations governing the flow of a dusty gas in various type media, including that in naturally occurring porous media. Numeric...

Sophisticated manipulation of surface roughness and solid surface energy are widely used to design super-hydrophobic layers. In this work, we designed highly porous silica layer with contact angle (CA) of 145°, and its robustness was promoted with thermal treatment. Wettability of coated layer is studied with CA measurement for different liquid surface tensions using diluted organi...

Our specific objectives are to develop models of ocean sediments that reveal the multi-scale aspects of sediment response. Frequency-dependent acoustic behavior is derived from macroscopic parameters, and these parameters in turn depend on microscopic features that characterize the material. In particular, this project details how electrokinetic phenomena—which have been used in seismology to c...

We study numerical methods for solving a coupled Stokes-Darcy problem in porous media flow applications. A two-grid method is proposed for decoupling the mixed model by a coarse grid approximation to the interface coupling conditions. Error estimates are derived for the proposed method. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid app...

Porous NiTi alloys has a series of unique properties such as shape memory effect, superelastic behavior and energy absorbability that make them usable in a wide range of medical and industrial appliances. But the more probability of Ni release from a porous NiTi compare to the nonporous one has restricted it’s uses in implants. In the present research for resolving the problem, performing a cal...

This paper investigates the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this kind of problems arise from viscoelasticity, electrochemistry control, porous media, electromagnetic and signal processing of wireless communication system. Some sufficient conditions for the exi...