Properties of matrices of multicomponent diffusion coefficients derived form irreversible thermodynamics

Authors
Citation
A. Burghardt, Properties of matrices of multicomponent diffusion coefficients derived form irreversible thermodynamics, INZ CHEM PR, 22(2), 2001, pp. 193-217
Citations number
18
Categorie Soggetti
Chemical Engineering
Journal title
INZYNIERIA CHEMICZNA I PROCESOWA
ISSN journal
02086425 → ACNP
Volume
22
Issue
2
Year of publication
2001
Pages
193 - 217
Database
ISI
SICI code
0208-6425(2001)22:2<193:POMOMD>2.0.ZU;2-0
Abstract
The matrix of multicomponent diffusion coefficients plays a fundamental rol e in the method of determining mass transfer coefficients in multicomponent systems. This matrix however has to fulfill strictly defined conditions in order to be applied in the method mentioned above; their eigenvalues must be real and positive. Basing on the principles of irreversible thermodynami cs as well as using the generalised form of Maxwell-Stefan equations, relat ionships have been developed and classified between the multicomponent and binary diffusion coefficients. By theorems of matrix calculus it was proved that strictly defined forms of the matrix of multicomponent diffusion coef ficients fulfill the conditions specified above, i.e. they posses real and positive eigenvalues.