We use confocal microscopy to directly visualize the formation and complex morphologies of trapped non-wetting fluid ganglia within a model 3D porous medium. The wetting fluid continues to flow around the ganglia after they form; this flow is characterized by a capillary number, Ca. We find that the ganglia configurations do not vary for small Ca; by contrast, as Ca is increased above a thresho...

In this paper, we study the pulsatile flow of blood through stenotic arteries. The inner layer of arterial walls is modeled as a porous medium and human blood is assumed as an incompressible fluid. A numerical algorithm based on the finite element method is developed to simulate the blood flow through both the lumen region and the porous wall. The algorithm is then applied to study the flow beh...

-------------------------------------------------------Abstract-----------------------------------------------------This paper investigation is concerned with the first-order homogeneous chemical reaction and thermal rad iation on hydromagnetic free convection heat and mass transfer for a micropolar flu id past a semi-infinite vert ical moving porous plate in the presence of thermal diffusion a...

The purpose of the present paper is to study an unsteady laminar flow of an incompressible conducting viscous dusty fluid between two infinitely non-conducting parallel plates, where above plate is bounded by porous medium. The flow is influenced by pulsatile pressure gradient, uniform magnetic field which is applied perpendicular to the plates and due to oscillations of the plates under the ef...

The transport of heat and mass from the surface a cylinder coated with catalyst subject to an impinging flow Casson rheological fluid is investigated. features circumferentially non-uniform transpiration embedded inside homogeneous porous medium. non-equilibrium thermodynamics problem, including Soret Dufour effects local thermal in medium, are considered. Through introduction similarity variab...

We describe the imbibition process from a point source into a homogeneous semi-infinite porous material. When body forces are negligible, the advance of the wetting front is driven by capillary pressure and resisted by viscous forces. With the assumption that the wetting front assumes a hemispherical shape, our analytical results show that the absorbed volume flow rate is approximately constant...

We explore the problem of a moving free surface in a water-saturated porous medium that has either a homogeneous or a periodically heterogeneous permeability field. We identify scaling relations and derive similarity solutions for the homogeneous, constant coefficient case in both a Cartesian and an axisymmetric, radial coordinate system. We utilize these similarity scalings to identify half-he...

This paper investigated numerically a natural convection in porous cavity saturated by nanofluide. The left and right wall of the are maintained at hot-cold temperature respectively, other walls adiabatic. two-phase Buongiorno model has been adopted to take account Brownian thermophoretic diffusion order demonstrate spatial distribution local nanoparticles concentration. After following tempora...