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Optimization by lumped control of reactors with langmuir‐hinshelwood catalyst deactivation
Author(s) -
GonzálezVelasco Juan Ramón,
GutiérrezOrtiz Miguel Angel,
Salvador Arturo Romero
Publication year - 1985
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.5450630219
Subject(s) - dehydrogenation , benzaldehyde , optimal control , catalysis , kinetic energy , differential (mechanical device) , reaction rate , chemistry , mathematics , thermodynamics , physics , mathematical optimization , classical mechanics , organic chemistry
A method is proposed for solving the problem of temperature optimal control in tubular fixed‐bed reactors with reaction systems described by Langmuir‐Hinshelwood‐Hougen‐Watson kinetic equations. The optimization problem is formulated by N state differential equations corresponding to the N differential fixed‐bed reactors in which the integral reactor is divided. It is solved using the control vector parameterization computational technique. The proposed method when applied to a simple reaction system reported previously in the literature gives analogous results, and thus validates the theory. This theory is applied to the dehydrogenation of benzyl alcohol to benzaldehyde. An analysis of optimality problem shows a strong influence of the temperature dependence of the ratio of reaction rate to deactivation reaction rate on the optimal policy.