Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Volumes:
Volume 23, 2020 Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i7.20
pages 573-586

MEMBRANE TRANSPORT IN CONCENTRATION POLARIZATION CONDITIONS: NETWORK THERMODYNAMICS MODEL EQUATIONS

Kornelia M. Batko
Department of Informatics for Economics, Membrane Science Group, University of Economics, Bogucicka 3B, 40287 Katowice, Poland
Izabella Slezak-Prochazka
Institute of Marteting, Membrane Science Group, Czestochowa University of Technology, 36b Armia Krajowa al., 42200 Czestochowa, Poland
Slawomir Grzegorczyn
Department of Biophysics, Membrane Science Group, Silesian Medical University, 19 Henryk Jordan Str., 41808 Zabrze, Poland
Andrzej Slezak
Chair of Public Health, Membrane Science Group, Czestochowa University of Technology, 36b Armia Krajowa al., 42200 Czestochowa, Poland

ABSTRACT

The Kedem−Katchalsky equations in matrix version for homogeneous and nonhomogeneous solutions were applied for the interpretation of membrane transport. Coefficients L*ij (for unstirred solutions), Lij (for mechanically stirred solutions) (ij = 1, 2), and L*ij/Lij were calculated, on the basis of experimentally determined coefficients (Lp, σ, ω), for an aqueous glucose solution and configurations A and B of the membrane system, in which a cellulose membrane was mounted in a horizontal plane. In configuration A, the upper chamber contained aqueous glucose solution at concentration Cl, and the lower chamber contained aqueous glucose solution at concentration Ch. In configuration B, the position of solutions with concentrations Cl. and Ch. was reversed. From the calculations, it results that the values of coefficients L*11 = L11 are constant, but the values of coefficients L*12, L12, L21, L*21, and L22 depend linearly on solution concentration in the membrane ( C). However, the value of coefficient L*22 depends nonlinearly on C as well as on a membrane system configuration. A concentration Rayleigh number (RC) was used in a thermodynamic model based on Kedem−Katchalsky equations for counting L*ij/Lij . It can be also stated that for RC greater than threshold value ((RC)crit), conductance coefficients L*12/L12, L*22/L22, and det[L*]/det[L] depend on a configuration of the membrane system.


Articles with similar content:

AN EXPERIMENTAL AND ANALYTICAL STUDY OF THE SPRAY CHARACTERISTICS OF AN INTERMITTENT AIR-ASSISTED FUEL INJECTOR
Atomization and Sprays, Vol.10, 2000, issue 2
Sangmin Choi, Changsoo Jang, Sung-Soo Kim
THE CRITICAL HEAT FLUX AT THE POOL BOILING OF SOME BINARY LIQUID MIXTURES
International Heat Transfer Conference 3 , Vol.2, 1966, issue
N.N. Mamontova, I. I. Gogonin, Samson Semenovich Kutateladze, V.N. Moskvicheva , G.I. Bobrovich
Calculation of the Minimum Scattering Field of an Arbitrary Antenna from its Pattern
Telecommunications and Radio Engineering, Vol.54, 2000, issue 5-6
V. V. Tebekin, Yu. P. Voropaev
Effects of inclination angle and subcooling on nucleate boiling and critical heat flux of HFE-7100
International Heat Transfer Conference 12, Vol.40, 2002, issue
Huseyin Bostanci, Mohamed S. El-Genk
Spatial Heterogeneity of Zooplankton in the Water Bodies of the Khmelnytsk NPP Technoecosystem
Hydrobiological Journal, Vol.53, 2017, issue 6
A. A. Protasov, Yu. F. Gromova