𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The equations of motion in porous media

✍ Scribed by S. Whitaker


Publisher
Elsevier Science
Year
1966
Tongue
English
Weight
752 KB
Volume
21
Category
Article
ISSN
0009-2509

No coin nor oath required. For personal study only.

✦ Synopsis


Ah&act-The continuity equation and the equations of motion are developed for flow in anisotropic porous media, and the conditions under which Darcy's law holds are clearly established.


πŸ“œ SIMILAR VOLUMES


Equations of frost propagation in unsatu
✍ J.M. Menot πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 352 KB

The equations of soil freezing are established where the soil is partially water-saturated, i.e., when it contains air. We choose a macroscopic viewpoint, using leveled parameters (averages on a "small" volume surrounding the considered point). We assume that water can exist at a temperature below 0

Elliptic equations in highly heterogeneo
✍ Li-Ming Yeh πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 395 KB

Uniform estimate and convergence for highly heterogeneous elliptic equations are concerned. The domain considered consists of a connected fractured subregion (with high permeability) and a disconnected matrix block subregion (with low permeability). Let e denote the size ratio of one matrix block to

Stabilization estimates for penetrative
✍ Franca Franchi πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 403 KB

## Abstract The physical model for penetrative convection in porous media is here considered to study the effects of variation of the source parameters on the flow. In this note we study the continuous dependence upon the heat supply and the body force of the classical solutions to the initial‐boun

Scaling Analysis in Modeling Transport a
✍ Krantz, William B. πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley & Sons, Inc. 🌐 English βš– 119 KB πŸ‘ 2 views

Scaling analysis takes the guesswork out of developing and using models Scaling analysis facilitates assessing the viability of a process or technology without the need for prior bench- or pilot-scale data. It also provides a template for the design of experiments used to explore a new process or t

Structural Stability for the Brinkman Eq
✍ F. Franchi; B. Straughan πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 537 KB

## Communicated by L. Payne Explicit a priori continuous dependence estimates are derived for the Brinkman equations for nonisothermal flow in porous media. Continuous dependence on the cooling coefficient is shown when a boundary condition of Newton cooling type is employed. Continuous dependence

On the Eulerian–Lagrangian formulation o
✍ Jacob Bear; Shaul Sorek; Viacheslav Borisov πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 194 KB πŸ‘ 2 views

The article presents a general approach to modeling the transport of extensive quantities in the case of flow of multiple multicomponent fluid phases in a deformable porous medium domain under nonisothermal conditions. The models are written in a modified Eulerian-Lagrangian formulation. In this mod