By Guy B. Marin
The cross-fertilization of physico-chemical and mathematical rules has an extended old culture. This quantity of Advances in Chemical Engineering is nearly thoroughly devoted to a convention on ''Mathematics in Chemical Kinetics and Engineering'' (MaCKiE-2007) which was once held in Houston in February 2007, bringing jointly approximately forty mathematicians, chemists, and chemical engineers from ten nations to debate the applying and improvement of mathematical instruments of their respective fields.* Updates and informs the reader at the most recent examine findings utilizing unique studies* Written through top specialists and students* studies and analyses advancements within the box
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Additional resources for Advances in Chemical Engineering: Mathematics in Chemical Kinetics and Engineering
Equations of Mathematical Physics’’. URSS, Moscow (1996). , ‘‘Partial Differential Equations’’. Cambridge University Press, Cambridge (1987). CHAPT ER 2 Overall Reaction Rate Equation of Single-Route Complex Catalytic Reaction in Terms of Hypergeometric Series Mark Z. Lazman1 and Gregory S. Yablonsky2,* Contents 1. 4 Relationships between forward and reverse overall reaction rates: Horiuti–Boreskov problem 2. 2 Non-linear mechanisms: the kinetic polynomial 3. 2 Overall reaction rate as a hypergeometric series 4.
2 Non-linear mechanisms: the kinetic polynomial 3. 2 Overall reaction rate as a hypergeometric series 4. Discussion and Conclusions References Appendix 1. Reaction Overall Rate Equations for Linear Mechanisms A. Two-stage mechanism of water–gas shift reaction B. Three-stage mechanism of catalytic isomerization Appendix 2. , Campus Box 1180, Washington Univ. in St. Louis, St. Louis, MO 63130-4899, USA ÃCorresponding author. 1016/S0065-2377(08)00002-1 r 2008 Elsevier Inc. All rights reserved. 47 48 Mark Z.
1 Linear and non-linear mechanisms Regarding the participation of intermediate in the steps of detailed mechanism, Temkin (1963) classified catalytic reaction mechanisms as linear and non-linear ones. For linear mechanisms, every reaction involves the participation of only one molecule of the intermediate substance. g. water–gas shift 52 Mark Z. Lazman and Gregory S. Yablonsky reaction: 1: Z þ H2 O3ZO þ H2 2: ZO þ CO3Z þ CO2 , Overall reaction: CO þ H2 O3H2 þ CO2 where Z and ZO are reduced and oxidized forms of catalyst, respectively, Boudart and Diega-Mariadassou (1984).
Advances in Chemical Engineering: Mathematics in Chemical Kinetics and Engineering by Guy B. Marin