The fundamental solution or Green's function for flow in porous media is determined using Stokesian dynamics, a molecular-dynamics-like simulation method capable of describing the motions and forces of hydrodynamically interacting particles in Stokes flow. By evaluating the velocity disturbance caused by a source particle on field particles located throughout a monodisperse porous medium at a g...

Explicit conditions are presented for the existence, uniqueness and ergodicity of the strong solution to a class of generalized stochastic porous media equations. Our estimate of the convergence rate is sharp according to the known optimal decay for the solution of the classical (deterministic) porous medium equation. AMS subject Classification: 76S05, 60H15.

For controlled release and targeted delivery of curcumin in an aqueous medium a method of encapsulating curcumin and magnetic nanoparticles inside porous silica matrix has been developed. Curcumin and superparamagnetic nanoparticles are loaded inside porous silica in a single process. The graphic shows the TEM image of microtomed sample of Fe(3)O(4) particles surrounded by a silica matrix.

Porous media column experiments were used to investigate Pseudomonas fluorescens strain P17 transport as a function of water content and the influences of the solid–liquid and gas–liquid interfaces. Retention of radiolabeled P17 in washed quartz sand was evaluated at 100, 84, and 46% water saturation. At the completion of each experiment, the porous medium was extruded and sampled directly for ...

An exact solution of unsteady free convective and mass transfer flow through porous medium bounded by a vertical porous plate with an oscillating free stream velocity is obtained. The entire system rotates about an axis normal to the plate. Existence of multiple Ekman boundary layer modified by the presence of free convection and mass transfer is observed near the neighbourhood of plate wall.

numerous techniques have been presented by different researchers to analyze piled raft. in order to analyze pile foundation, soil can be modeled as spring, continuous medium, or porous media. pile can also be modeled as spring or continuous medium. this study includes three main stages: a short description of different types of analysis methods of pile foundation, writing a computer program bas...

this paper a novel homotopy perturbation method has been presented for forced convection boundary layer problems in a porous medium. Noting the infinite condition, a homotopy form which is similar to the singular perturbation form has been considered. The inner and outer solutions have been achieved and the coincidence of the results has been investigated with a proper matching method. The resu...

A mathematical model presented in this paper describes the dispersion and concentration ofcontaminants (fine and coarse) in porous medium with the effect of chemical reaction. Solutetransport in porous media is discussed by means of advection-dispersion equation. The effectof particle mass parameter and reaction rate parameter on the dispersion coefficient and meanconcentration of a chemical so...

The propagation of gravity waves in an emerged three-layer porous medium is considered in this paper. Based on the assumption that the flow can be described by Darcy’s Law, an asymptotic theory is developed for small-amplitude long waves. This leads to a weakly nonlinear Boussinesqtype diffusion equation for the wave height, with coefficients dependent on the conductivities and depths of each l...

The resistance is offered when the fluid flows through a porous medium which acts tangentially and perpendicularly to the surface of the media. This resistance offered by the porous mass can be analyzed by evaluating the ease with which water can flow through the porous media, and is expressed in terms of hydraulic conductivity or permeability of the porous medium. It involves a large number of...