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Some observations on uniqueness and multiplicity of steady states in non‐adiabatic chemically reacting systems
Author(s) -
Varma Arvind,
Amundson Neal R.
Publication year - 1973
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.5450510211
Subject(s) - multiplicity (mathematics) , uniqueness , adiabatic process , continuous stirred tank reactor , thermodynamics , mechanics , adiabatic theorem , physics , mathematics , mathematical analysis , chemistry
An investigation of uniqueness and multiplicity of the steady states in two non‐adiabatic chemically reacting systems, the stirred tank and the tubular reactors, is presented. Exact uniqueness and multiplicity criteria are presented, and some conclusions derived therefrom, for the stirred tank reactor. For the tubular reactor, some numerical results are reported and multiplicities of the type 1‐3‐1, 1‐3‐1‐3‐1 and 1‐3‐5‐3‐1 noted. Criteria obtained earlier and those obtained from a lumping approximation of the distributed system are evaluated. In addition, two asymptotic solutions are obtained for the non‐adiabatic tubular reactor.