In this talk we present a continuum model and numerical results for transient flows over and through porous media. First, we briefly discuss the derivation of the model and present an algorithm for its numerical treatment. Subsequently, we present results from direct numerical simulations for developing flows over porous layers of large porosity. Due to the steep velocity gradients across the i...

Henry Darcy's experimental studies in 1856 of saturated water flowthrough a homogeneous porous medium contained in a vertical column have provided the basis for the quantitative description of fluid flow in a wide variety of both natural and engineered porous medium environmental systems. Extrapolation of Darcy's original observations and conclusions has led to several commonly applied equation...

Bioreactors allowing direct perfusion of culture medium through tissueengineered constructs may overcome diffusion limitations associated with static culturing, and may provide flow-mediated mechanical stimuli. The hydrodynamic stress imposed on cells in these systems will depend not only on the culture medium flow rate but also on the scaffold three-dimensional (3D) micro-architecture. We perf...

B ioreactors allowing direct perfusion of culture medium through tissue-engineered constructs may overcome diffusion limitations associated with static culturing, and may provide flow-mediated mechanical stimuli. The hydrodynamic stress imposed on cells in these systems will depend not only on the culture medium flow rate but also on the scaffold three dimensional (3D) micro-architecture. We pe...

in this paper, the ritz-galerkin method in bernstein polynomial basis is applied for solving the nonlinear problem of the magnetohydrodynamic (mhd) flow of third grade fluid between the two plates. the properties of the bernstein  polynomials together with the ritz-galerkin method are used to reduce the solution of the mhd couette flow of non-newtonian fluid in a porous medium to the solution o...

abstract: 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 composite consisting of upstream and downstream layers with equal thickness but with different physical and radiative properties. in the present work, a two dimensio...

A cellular automata (CA) approach is proposed for simulating a fluid flow through the porous material with tortuous channels and different wetting properties of pore walls. The approach aims to combine CA methods both for construction the structure of porous material model and to simulate the fluid flow through it. It is shown that any kind of tortuous structure may be obtained by pattern forma...

Peristaltic transport of a Williamson fluid in an asymmetric channel through porous medium is studied under long wavelength and low Reynolds number assumptions. The nonlinear governing equations of the peristaltic flow are solved using perturbation method. The solution for the stream function is obtained by neglecting inertia and curvature effects. The velocity distribution, the volume flow rat...

We prove that the signed porous medium equation can be regarded as limit of an optimal transport variational scheme, therefore extending the classical result for positive solutions of [13] and showing that an optimal transport approach is suited even for treating signed densities.

In this article, we analyze the flow of a fluid through a coupled Stokes-Darcy domain. The fluid in each domain is non-Newtonian, modeled by the generalized nonlinear Stokes equation in the free flow region and the generalized nonlinear Darcy equation in the porous medium. A flow rate is specified along the inflow portion of the free flow boundary. We show existence and uniqueness of a variatio...