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A note on the upper bound of the temperature solution of the axial dispersion model for a tubular reactor
Author(s) -
Viljoen H. J.
Publication year - 1986
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450640323
Subject(s) - upper and lower bounds , a priori and a posteriori , dispersion (optics) , lewis number , nonlinear system , mathematics , mechanics , mathematical analysis , thermodynamics , physics , mass transfer , optics , quantum mechanics , philosophy , epistemology
The existing a‐priori bound of the temperature solution of the axial dispersion one‐dimensional model of the tubular reactor does not take parameters like Damköhler number into consideration. Utilizing the properties of the nonlinear term in the model equations enables one to find improved upper bounds which depend on all the model parameters. Only for the case of Lewis number greater than unity and Damköhler number sufficiently large, is the existing bound not improved.