A two-dimensional model is used to simulate the motion and deformation of a single mammalian red blood cell (RBC) flowing close to the wall of a microvessel, taking into account the effects of a porous endothelial surface layer (ESL) lining the vessel wall. Migration of RBCs away from the wall leads to the formation of a cell-depleted layer near the wall, which has a large effect on the resista...

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.

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.

Pore network modeling uses a network of pores connected by throats to model the void space of a porous medium and tries to predict its various characteristics during multiphase flow of various fluids. In most cases, a non-realistic regular lattice of pores is used to model the characteristics of a porous medium. Although some methodologies for extracting geologically realistic irregular net...

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...

Porous media like air-saturated polymer foams with open cells, have a nontrivial frequency-dependent absorption that arises due to viscous and thermal effects at the scale of the rigid frame microstructure. In order to produce multiple scattering at ultrasonic frequencies, mesoscale scatterers are introduced in the porous medium host. The effective wave number of such a multiscale medium should...

Unsteady flow with magneto-hydrodynamics and heat generation through porous medium past an impulsively started vertical plate with constant wall temperature and mass diffusion is considered here. The effect studied is a combination of Hall current and chemical reaction. The motivation behind this study is the applications of such kind of problems in industry. In many industrial applications ele...