We study the asymptotic behavior of compressible isentropic flow through porous medium when the initial mass is finite. The model system is the compressible Euler equation with frictional damping. As t → ∞, the density is conjectured to obey to the well-known porous medium equation and the momentum is expected to be formulated by Darcy’s law. In this paper, we prove that any L∞ weak entropy sol...

We study the asymptotic behavior of a compressible isentropic flow through a porous medium when the initial mass is finite. The model system is the compressible Euler equation with frictional damping. As t → ∞, the density is conjectured to obey the well-known porous medium equation and the momentum is expected to be formulated by Darcy’s law. In this paper, we give a definite answer to this co...

This paper deals with the hydrodynamic and thermal analysis of a new type of porous heat exchanger (PHE). This system operates based on energy conversion between gas enthalpy and thermal radiation. The proposed PHE has one high temperature (HT) and two heat recovery (HR1 and HR2) sections. In HT section, the enthalpy of flowing high temperature gas flow that is converted to thermal radiation em...

The meshless local radial point interpolation (MLRPI) method is applied to examine the magnetohydrodynamic (MHD) ow of third grade uid in a porous medium. The uid saturates the porous space between the two boundaries. Several limiting cases of fundamental ows can be obtained as the special cases of present analysis. The variations of pertinent parameters are addressed.

Under a sharp asymptotic growth condition at infinity, we prove Liouville type theorem for the inhomogeneous porous medium equation, provided it stays universally close to heat equation. Additionally, homogeneous show that conclusion hold, is enough assume infinity only in space variable. The results are optimal, meaning cannot be weakened.

We consider a time-independent variable coefficients fractional porous medium equation and formulate an associated inverse problem. determine both the conductivity absorption coefficient from exterior partial measurements of Dirichlet-to-Neumann map. Our approach relies on time-integral transform technique as well unique continuation property operator.

Biofilms are a common constituent of the subsurface and are known to influence contaminant transport; however only a few studies to date have addressed microbial controls on nanoparticle mobility in porous media. The impact of a 3-day Pantoea agglomerans biofilm on the mobility of zinc oxide (ZnO) nanoparticles was studied in column experiments containing sand and glass beads at near-neutral pH...

The coefficients of dispersion, Dij , and the dispersivity, aijkl , appear in the expression for the flux of a solute in saturated flow through porous media. We present a detailed analysis of these tensors in an axially symmetric porous medium and show that in such a medium, the dispersivity is governed by 6 independent moduli. We present also the constraints that have to be satisfied by these ...

AbstracG-The hydrodynamic boundary condition at the interface between a porous and a plain medium is examined by direct simulation of the two-dimensional flow field near the interface of a porous medium made of cylinders. The existing slip boundary condition, which contains a slip coefficient a, and the noslip boundary condition, which contains an effective viscosity p’, are examined. The depen...

the meshless local radial point interpolation (mlrpi) method is applied to examine the magnetohydrodynamic (mhd) ow of third grade uid in a porous medium. the uid saturates the porous space between the two boundaries. several limiting cases of fundamental ows can be obtained as the special cases of present analysis. the variations of pertinent parameters are addressed.