In this work, we study the convergence of the finite element method when applied to the following parabolic equation: ut = div(|u|∇u)− λ|u|σ(x,t)−2u+ f(x, t), x ∈ Ω ⊂ R, t ∈]0, T ]. Since the equation may be of degenerate type, we utilise an approximate problem, regularised by introducing a parameter ε. We prove, under certain conditions on γ, σ and f , that the weak solution of the approximate...

The interaction of mixed convection with thermal radiation of an optical dense viscous fluid adjacent to an isothermal cone imbedded in a porous medium with Rosseland diffusion approximation incorporating the variation of permeability and thermal conductivity is numerically investigated. The transformed conservation laws are solved numerically for the case of variable surface temperature condit...

We investigate the effect of transverse magnetic field to heat and mass transfer flow in a channel filled with saturated porous medium with variable permeability and periodic suction. The dimensionless governing equations are solved using perturbation technique. The effects of velocity, temperature and concentration are studied for different magnetic Reynolds number, Schmidt number, suction par...

This investigation deals with the three-dimensional boundary layer flow in a porous medium. The flow is induced by an exponentially stretching surface. Analysis is presented in the presence of heat transfer. Two cases, namely prescribed surface temperature (PST) and prescribed surface heat flux (PHF), are considered. Effects of thermal radiation are also present. The nonlinear partial different...

this work presents a numerical study to investigate the heat transfer characteristics of a 2-d rectangular composite porous radiant burner (cprb). in the construction of porous burner, the porous layer is considered to be of composite type consisting of upstream and downstream layers with equal thickness but with different physical and radiative properties. in the present work, a two dimensiona...

The effect of drainage front morphology on gaseous diffusion through partially saturated porous media is analyzed using the lattice Boltzmann method (LBM). Flow regimes for immiscible displacement in porous media have been characterized as stable displacement, capillary fingering, and viscous fingering. The dominance of a flow regime is associated with the relative magnitudes of gravity, viscou...

We present modeling of an incompressible viscous flow through a fracture adjacent to a porous medium. A fast stationary flow, predominantly tangential to the porous medium is considered. Slow flow in such setting can be described by the Beavers-Joseph-Saffman slip. For fast flows, a nonlinear filtration law in the porous medium and a nonlinear interface law are expected. In this paper we rigoro...

A model coupling a three dimensional gas liquid compositional Darcy flow in a fractured porous medium, and a one dimensional compositional free gas flow is presented. The coupling conditions at the interface between the gallery and the porous medium account for the molar normal fluxes continuity for each component, the gas liquid thermodynamical equilibrium, the gas pressure continuity and the ...

Evaporation of saline solutions from a porous medium often leads to the precipitation of salt at the surface of the porous medium. It is commonly observed that the crystallized salt does not form everywhere at the porous medium surface but only at some specific locations. To explain this phenomenon, we consider efflorescence formation at the surface of a saturated heterogeneous porous column (f...