This paper describes a novel hybrid method for fluid simulation of saturating anisotropic porous material via fluid-structure coupling. Our framework employs particle finite element method (PFEM) that not only adopts Lagrangian scheme to model the motion of freely-moving particles, but also produces the extended Delaunay Tessellation to furnish the governing equations with FEM discretization. W...

This paper describes a theoretical study to investigate the heat transfer characteristics of porous radiant burners. A one dimensional model is used to solve the governing equations for porous medium and gas flow before the premixed flame to the exhaust gas. Combustion in the porous medium is modeled as a spatially dependent heat generation zone. The homogeneous porous media, in addition to its...

Here, we investigate the possible optical anisotropy of vacuum due to gravitational field. In doing this, we provide sufficient evidence from direct coordinate integration of the null-geodesic equations obtained from the Lagrangian method, as well as ray-tracing equations obtained from the Plebanski’s equivalent medium theory. All calculations are done for the Schwarzschild geometry, which resu...

The objective of this article is to highlight certain features of a number of coefficients that appear in models of phenomena of transport in anisotropic porous media, especially the coefficient of dispersion, the 2nd rank tensor Dij , and the dispersivity coefficient, the 4th rank tensor aijkl , that appear in models of solute transport. Although we shall focus on the transport of mass of a di...

A general approach for investigating transport phenomena in porous media is presented. This approach has the capacity to represent various kinds of irregularity in porous media without the need for excessive detail or computational effort. The overall method combines a generalized effective medium approximation (EMA) with a macroscopic continuum model in order to derive a transport equation wit...

We investigate clogging in depth filtration, in which a dirty fluid is ‘‘cleaned’’ by the trapping of dirt particles within the pore space during flow through a porous medium. This leads to a self-generated gradient percolation process that exhibits a power-law distribution for the density of trapped particles at downstream distance x from the input. To achieve a nonpathological clogging ~perco...

Abstract The initial boundary value problem of an anisotropic porous medium equation is considered in this paper. existence a weak solution proved by the monotone convergent method. By showing that $\nabla u\in L^{\infty}(0,T; L^{2}_{\mathrm{loc}}(\Omega ))$ ∇ u ∈ L</m...

In the present paper, double-diffusive convection, taking into account Coriolis effects, in a horizontal layer of Brinkman-anisotropic bi-disperse porous medium is analysed. Via linear instability analysis, we find that convection can set through stationary or oscillatory motions and critical Rayleigh numbers for onset secondary flow (steady convection) overstability (oscillatory are determined.

steady state natural convection of al2o3-water nanofluid inside a square cavity filled with a porous medium is investigated numerically. the temperatures of the two side walls of the cavity are maintained at th and tc, where tc has been considered as the reference condition. the top and the bottom horizontal walls have been considered to be insulated i.e., non-conducting and impermeable to mass...