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Solution of the linearized equations of multicomponent mass transfer: II. Matrix methods
Author(s) -
Toor H. L.
Publication year - 1964
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690100410
Subject(s) - mass transfer coefficient , mass transfer , coefficient matrix , matrix (chemical analysis) , chemistry , thermodynamics , binary number , inverse , diffusion , mass matrix , transfer matrix , mathematics , physics , chromatography , geometry , eigenvalues and eigenvectors , arithmetic , quantum mechanics , computer science , nuclear physics , neutrino , computer vision
Solutions to the equations of multicomponent mass transfer may be written as matrix generalizations of the solution to the equivalent binary mass transfer equation when intial and boundary concentrations are constant, there are no homogeneous reactions, and all physical properties including the diffusion coefficient matrix are concentration independent. The analogue of the binary mass transfer coefficient is a multicomponent mass transfer coefficient matrix which depends only upon the mass transfer coefficients of the equivalent binary system and the diffusion coefficient matrix of the multicomponent system. When interphase transfer takes place, the inverse multicomponent mass transfer coefficient matrices of each phase are additive. Their sum yields an overall resistance to mass transfer which is the inverse of the overall multicomponent mass transfer coefficient matrix.