Transport with time-dependent boundary conditions in a ν-dimensional membrane

被引：11

作者：

Ash, R ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci & Technol, Dept Chem, Phys Chem Labs, London SW7 2AZ, England

来源：

JOURNAL OF MEMBRANE SCIENCE | 2004年 / 232卷 / 1-2期

关键词：

diffusion; sorption kinetics; theory; time-lags;

D O I：

10.1016/j.memsci.2003.11.010

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

Following Favre et al. [J. Membr. Sci. 207 (2002) 59], a detailed study has been made of the effect of time-dependence in the boundary conditions upon the four measurable time-lags associated with transport through a membrane. A new procedure for deriving the modified time-lags is presented which encompasses three membrane geometries and a variety of boundary conditions. While the greater part of the treatment involves a constant diffusion coefficient, some attention has been given to the corresponding problem of transport in a slab membrane,governed by a concentration-dependent diffusion coefficient. The application of this procedure to a particular aspect of constant-pressure sorption kinetics is also indicated. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：9 / 18

页数：10

共 16 条

[1] TRANSPORT AND SOLUBILITY OF ISOMERIC PARAFFINS IN RUBBER [J].

AITKEN, A ;

BARRER, RM .

TRANSACTIONS OF THE FARADAY SOCIETY, 1955, 51 (01) :116-130

[2] DIFFUSION IN MULTIPLE LAMINATES [J].

ASH, R ;

BARRER, RM ;

PALMER, DG .

BRITISH JOURNAL OF APPLIED PHYSICS, 1965, 16 (06) :873-&

[3] MEASUREMENTS OF ADSORPTION FOR MEMBRANES INSITU WITH THE USE OF TIME-LAGS AND STEADY-STATE FLOWS [J].

ASH, R ;

BARRER, RM ;

CHIO, HT ;

EDGE, AVJ .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1979, 365 (1722) :267-281

[4] THEORY OF TRANSPORT IN MEMBRANES .1. STEADY-STATE [J].

ASH, R ;

BARRER, RM .

JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1971, 4 (07) :888-&

[5] Transient-state transport in some finite systems .3. Some historical and hitherto largely-unexplored aspects of time-lag theory [J].

Ash, R .

JOURNAL OF MEMBRANE SCIENCE, 1996, 117 (1-2) :79-108

[6] Transport through a slab membrane governed by a concentration-dependent diffusion coefficient Part II.: The four time-lags for some particular D(C) [J].

Ash, R ;

Espenhahn, SE ;

Whiting, DEG .

JOURNAL OF MEMBRANE SCIENCE, 2000, 166 (02) :281-301

[7] TIME-LAG IN DIFFUSION [J].

ASH, R ;

BARRIE, JA .

JOURNAL OF APPLIED POLYMER SCIENCE, 1986, 31 (05) :1209-1218

[8] SORPTION AND SURFACE FLOW IN GRAPHITIZED CARBON MEMBRANES .2. TIME-LAG AND BLIND PORE CHARACTER [J].

ASH, R ;

BAKER, RW ;

BARRER, RM .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1968, 304 (1479) :407-+

[9] SORPTION KINETICS AND TIME-LAG THEORY .1. CONSTANT DIFFUSION-COEFFICIENT [J].

ASH, R ;

BARRER, RM ;

CRAVEN, RJB .

JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II, 1978, 74 :40-56

[10]

Crank J., 1979, MATH DIFFUSION

← 1 2 →