In this paper, the reflection and refraction of longitudinal wave from a plane surface separating a micropolar viscoelastic solid half space and a fluid saturated incompressible half space is studied. A longitudinal wave (P-wave) impinges obliquely at the interface. Amplitude ratios for various reflected and transmitted waves have been obtained. Then these amplitude ratios have been computed nu...

Steady-state solutions for two mixed initial-boundary value problems are provided. They describe isothermal MHD steady-state motions of incompressible Burgers’ fluids over an infinite flat plate embedded in a porous medium when differential expressions shear stress given on part the boundary. The fluid is electrically conductive under influence uniform transverse magnetic field. For validation ...

Henry Darcy's experimental studies in 1856 of saturated water flowthrough a homogeneous porous medium contained in a vertical column have provided the basis for the quantitative description of fluid flow in a wide variety of both natural and engineered porous medium environmental systems. Extrapolation of Darcy's original observations and conclusions has led to several commonly applied equation...

The Keller-Segel model is a well-known system representing chemotaxis in living organisms. We study the convergence of generalized nonlinear variant to degenerate Cahn-Hilliard system. This analysis made possible from observation that equivalent relaxed version Furthermore, this latter has an interesting application modelling tissues. Indeed, compressible and incompressible porous medium type e...

In this paper, we consider the Cauchy problem for a porous medium equation in Fingero-imbibition phenomena arising in double phase flow through porous media during oil recovery process. Fingero-imbibition is a physical phenomenon which represents the simultaneous occurrence of two special phenomenon viz. fingering and imbibitions in a porous media. We obtain a series solution of porous medium e...

The effect of hall current onan unsteady magnetohydrodynamic flow of heat and mass transfer of an electrically conducting incompressible fluid along an infinite vertical porous plate in presence ofthermal radiation, viscous dissipationand chemical reaction has been studied.The fluid is considered to be a gray, absorbing emitting but non – scattering medium and the Rosseland approximation is use...

The radiative properties of any porous medium are statistically defined by a cumulated extinction distribution function, a cumulated absorption probability and a bidirectional phase function. These functions are obtained by a Monte Carlo technique, from both the medium morphology data, known or issued from a X or γ ray tomography, and the radiative properties at a scale lower than the tomograph...

In this paper we consider one-dimensional capillary redistribution of two immiscible and incompressible fluids in a porous medium with a single discontinuity. We study a special time-dependent solution, a similarity solution, which is found when the initial saturation is discontinuous at the same point as the permeability and porosity, and is constant elsewhere. The similarity solution can be u...