✦ LIBER ✦

On the validity of Fick's law for transient diffusion through a porous medium

✍ Scribed by F.K. Lehner

Publisher: Elsevier Science
Year: 1979
Tongue: English
Weight: 474 KB
Volume: 34
Category: Article
ISSN: 0009-2509
DOI: 10.1016/0009-2509(79)85137-4

No coin nor oath required. For personal study only.

✦ Synopsis

The method of spatial averaging is apphed to derive a macroscopic form of Fick's law for unsteady diffusion through a rigid porous medium The validity of this form is found to be restricted by the requirements that diffusion is quasi-steady on a pore scale and that interphase mass transfer rates depend at most hnearly upon concentration Under these conditions the effective diffusivity of the porous medium involves the product of the molecular diffusivity and a dimensionless "intrinsic conductivity" of the porous medium, which is found to be a symmetric and positive definite second order tensor A reciprocal theorem plays a key role in achieving the macroscopization of Fick's law

📜 SIMILAR VOLUMES

On the validity of a generalized Kirchho

On the validity of a generalized Kirchhoff's law for a nonisothermal scattering and absorptive medium

✍ Jeffrey L. Linsky; George H. Mount 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 407 KB

Prediction of the release characteristic

Prediction of the release characteristics of alcohols from EVA using a model based on Fick's second law of diffusion

✍ Arnoldus J. Krüger; Andries T. Tolmay 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 116 KB 👁 1 views

On the Steady-State Flow of an Incompres

On the Steady-State Flow of an Incompressible Fluid through a Randomly Perforated Porous Medium

✍ Steve Wright 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 403 KB

New methods for the determination of the

New methods for the determination of the parameters of a concentration-dependent diffusion law for molecular penetrants from transient permeation or sorption data

✍ Stephane Marais; Michel Métayer; Quang Trong Nguyen; Michel Labbé; Dominique Lan 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 121 KB 👁 2 views

## Model development for transient permeation In the experimental differential permeation technique, the upstream face of a dry polymer sheet is put into contact

Thermal Diffusion and MHD Effects on Com

Thermal Diffusion and MHD Effects on Combined Free-Forced Convection and Mass Transfer of a Viscous Fluid Flow Through a Porous Medium with Heat Generation

✍ G. M. Abdel-Rahman 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB 👁 2 views

Effects of a magnetic field on the free

Effects of a magnetic field on the free convective flow through a porous medium bounded by an infinite vertical porous plate with constant heat flux

✍ A.A. Raptis 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 293 KB

This paper investigates the effects of a magneticjield on thefree convectivejlow of a viscous, incompressible, dissipative @id through a porous medium, occupying a semi-i$inite region of the space bounded by an injinite vertical and porous plate. The plate is subjected to a normal suction velocity a