Using Biot's theory, a set of boundary conditions is presented for wave transmission and reflection at the contact surface between an elastic medium (fluid or solid) and a fluid-saturated porous solid (Biot medium). The analysis shows the continuity of the normal component of the density energy flux vectors across the contact surfaces, so that total energy is preserved. Energy reflection and tr...

This paper investigates the influence of melting and thermo-diffusion effect on natural convection heat and mass transfer from vertical flat plate in a non-Newtonian fluid saturated non-Darcy porous medium. The wall and the ambient medium are maintained at constant but different levels of temperature and concentration such that the heat and mass transfer occurs from the wall to the medium. The ...

We present a numerical analysis of an implicit time discretization method applied to Richards’ equation. Written in its saturation-based form, this nonlinear parabolic equation models water flow into unsaturated porous media. Depending on the soil parameters, the diffusion coefficient may vanish or explode, leading to degeneracy in the original parabolic equation. The numerical approach is base...

A theoretical investigation has been made for a radiating and chemically reacting viscous-fluid of conducting gas over vertical porous surface immerse in saturated medium the impact magnetic drag-force, buoyancy forces thermal-diffusion (Soret) order under oscillatory suction heat absorption. The analytical solutions have derived physical variables related to governing equations appropriate bou...

The one-dimensional flow of a fluid near saturation through a micro-porous membrane is considered. Upstream of the porous membrane the fluid is in a state of saturated vapor. Downstream, the fluid is in a state of unsaturated vapor. Due to the Joule-Thomson effect, the fluid is cooler at the downstream side of the membrane than at the upstream side. Due to the temperature difference and the hea...

The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretching sheet saturated in porous medium are analyzed. The governing nonlinear coupled partial differential equations are transformed into ordinary coupled differential equations by similarity transformation and solved numerically using Runge-Kutta fourth order method with shooting technique. The study ...