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A general and robust approach for defining and solving microkinetic catalytic systems
Author(s) -
Gusmão Gabriel S.,
Christopher Phillip
Publication year - 2015
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.14627
Subject(s) - linearization , robustness (evolution) , a priori and a posteriori , selectivity , nonlinear system , catalysis , chemistry , chemical reaction engineering , algebraic number , mathematics , physics , mathematical analysis , biochemistry , philosophy , epistemology , quantum mechanics , gene
Recent approaches for the rational design of heterogeneous catalysts have relied on first‐principles‐based microkinetic modeling to efficiently screen large phase spaces of catalytic materials for optimal activity and selectivity. Microkinetic modeling allows the calculation of catalytic rate and selectivity under a given set of conditions without a priori assumptions of rate or selectivity controlling steps by simultaneously solving nonlinear algebraic equations comprising species mass balances bound by the pseudo steady‐state approximation. We introduce a general approach to define and solve microkinetic systems that relies solely on its stoichiometric matrix and kinetic parameters of considered reaction steps. Our approach relies on linearization of the microkinetic system, enabling analytical calculation of system derivatives for use in quasi‐Newton solution schemes that exhibit excellent robustness and efficiency with minimal dependence on initial conditions. © 2014 American Institute of Chemical Engineers AIChE J , 61: 188–199, 2015