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Reduced dynamic model of a fixed bed reactor
Author(s) -
Mcgreavy C.,
Naim H. M.
Publication year - 1977
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.5450550315
Subject(s) - computation , exothermic reaction , simple (philosophy) , set (abstract data type) , computer science , variable (mathematics) , differential (mechanical device) , mathematics , algebraic equation , differential equation , algebraic number , mathematical optimization , control theory (sociology) , algorithm , nonlinear system , mathematical analysis , engineering , artificial intelligence , physics , philosophy , epistemology , control (management) , quantum mechanics , thermodynamics , programming language , aerospace engineering
The solution of dynamic distributed parameter models describing complex highly exothermic reactions in fixed bed reactors usually requires excessive computation times which are too demanding for detailed explorations. A lumping technique has been applied to a dynamic distributed parameter model, in which the radial differential operators have been approximated and effectively replaced by simple algebraic expressions by redefining the dependent variable. The resulting reduced model retains the accuracy of description and the necessary structure which is implicit in the full set of equations. This has been achieved by relating a suitably defined set of pseudoparameters to the chemical and physical processes taking place. The direct benefit of this is that the computation time and storage requirements have been reduced to a more realistic level for design purposes.