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Parameterbestimmung bei linearen chemischen Prozessen
Author(s) -
Blume Thomas,
Prüß Jan,
Warnecke HansJoachim
Publication year - 1993
Publication title -
chemie ingenieur technik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.365
H-Index - 36
eISSN - 1522-2640
pISSN - 0009-286X
DOI - 10.1002/cite.330650804
Subject(s) - eigenvalues and eigenvectors , exponential function , mathematics , linear system , mathematical model , computer science , mathematical analysis , physics , statistics , quantum mechanics
Determination of Parameters in Linear Chemical Processes . The authors describe a straightforward and extremely reliable method for determination of the physicochemical parameters occurring in mathematical models of chemical processes. It is based on the restrictive assumption that the system considered is linear and the number of parameters is small. These assumptions permit a detailed eigenvalue analysis of the system, permitting a complete insight into its behaviour. The eigenvalues λ k and the factors a k of the corresponding exponential functions are determined by curve fitting. These in turn are determined by system parameters and thus afford relations from which the latter can be calculated. Use of the proposed model requires the design of experiments which can be described by approximately linear models. This is indeed possible in many cases.
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