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Perturbation solution and moment expansion for nonlinear adsorption in a CSTR
Author(s) -
Allal K.,
Hinds B. C.,
McCoy B. J.
Publication year - 1985
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.690310923
Subject(s) - continuous stirred tank reactor , nonlinear system , perturbation (astronomy) , mathematics , laguerre polynomials , series expansion , impulse response , moment (physics) , mathematical analysis , control theory (sociology) , mechanics , chemistry , physics , classical mechanics , computer science , control (management) , quantum mechanics , artificial intelligence
Regular perturbation theory is applied to determine the response to an impulse input in a continuous‐flow stirred‐tank reactor (CSTR) with nonlinear adsorption. A series expansion for temporal moments is a result of the procedure. This moment expansion allows the usual restriction of linearity in analysis of experimental data by moments to be waived. The response at each order can be expressed as an expansion in Laguerre polynomials involving moments, which, in the present example, converges to the exact solution.