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New temperature integral approximation for nonisothermal kinetics
Author(s) -
Cai Junmeng,
Yao Fusheng,
Yi Weiming,
He Fang
Publication year - 2006
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.10732
Subject(s) - kinetic energy , integral equation , thermodynamics , mathematics , statistical physics , mathematical analysis , physics , classical mechanics
A new approximation for the temperature integral has been obtained by using Pattern Search method. The corresponding equation for the evaluation of kinetic parameters is presented, which can be put in the form$${\rm ln}\biggl[{g(\alpha) \over T^{2}}\biggr] = {\rm ln}\biggl[{AR \over \beta E} {E + 0.66691RT \over E + 2.64943RT}\biggr] - {E \over RT}$$The validity of the new temperature integral approximation has been tested by numerical calculation. Its deviation from the values calculated by numerical integrating was discussed. Compared with several published approximate formulas, this new one is much superior to all other approximations, and is the most suitable solution for the evaluation of kinetic parameters from nonisothermal kinetic analysis. © 2006 American Institute of Chemical Engineers AIChE J, 2006