Results 291 to 300 of about 135,655 (317)

Darcy's Law for a Heterogeneous Porous Medium

Journal of Porous Media, 2001
Summary: We consider slow flow of Newtonian fluid through a spatially varying porous medium. Applying the method of homogenization to a heterogeneous porous medium possessing a microscopic locally periodic structure, we are able to derive an appropriate form of Darcy's law.
Neto, F. Moura, Melo, S. T.
openaire   +1 more source

Knudsen Flow through a Porous Medium

The Physics of Fluids, 1968
Rigorous bounds on the permeability of a porous medium to Knudsen flow are formulated by applying the variational procedure of DeMarcus. The bounds are expressed in terms of certain averages characterizing the random-pore geometry. Explicit calculations are given for a model pore structure generated from randomly overlapped spheres.
Strieder, W. C., Prager, Stephen
openaire   +1 more source

DNA electrophoresis in a monodisperse porous medium

Physical Review E, 2000
Electrophoresis of DNA migrating in an ordered matrix is studied and compared with classical agarose gel electrophoresis. A well-defined migration medium is obtained by crystallization of monodisperse silica spheres. Electrophoretic mobility of DNA is measured with fluorescence recovery after photobleaching experiments.
L, Meistermann, B, Tinland
openaire   +2 more sources

Phase transitions in a model porous medium

Physical Review B, 1993
An exact solution is presented for Ising-like transitions in a decorated lattice model of a porous medium. The model is solved by decimation of the spins, leading to a space-filling lattice with renormalized parameters. The critical temperature is found to vary as 1/lnL, where L is the number of sites between intersections of the spin chains.
, Swift, , Cheng, , Cole, , Banavar
openaire   +2 more sources

Drag forces of porous-medium acoustics

Physical Review B, 1993
The drag forces controlling the amount of relative flow induced in a fluid-saturated porous material by a mechanical wave are modeled here from first principles. Specifically, analytical expressions for the drag are derived for material models that possess variable-width pores; i.e., pores that have widths that vary with distance along their axis.
, Pride, , Morgan, , Gangi
openaire   +2 more sources

A Note on the Solute Dispersion in a Porous Medium

Bulletin of the Malaysian Mathematical Sciences Society, 2017
In this paper we study the solute transport through a semi-infinite channel filled with a fluid saturated sparsely packed porous medium. A small perturbation of magnitude $\varepsilon$ is applied on the channel's walls on which the solute particles undergo a first-order chemical reaction. The effective model for solute concentration in the small--P\'{;
openaire   +3 more sources

Porous Medium Combustion

1990
I shall study a model of porous medium combustion, derived by Norbury and Stuart [1], restricting attention to the class of travelling wave solutions. Under this simplifying assumption the model reduces to a fifth—order system of coupled, nonlinear ordinary differential equations with a discontinuous forcing term (this corresponds to the reaction rate ...
openaire   +1 more source

The Porous Medium Equation

2006
Abstract The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood.
openaire   +1 more source

Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium

International Journal of Heat and Mass Transfer, 2009
Swati Mukhopadhyay
exaly  

Formation of gas hydrates in a porous medium during an injection of cold gas

International Journal of Heat and Mass Transfer, 2015
N G Musakaev, M K Khasanov
exaly