Premium
A composite phase plane for tubular reactor stability studies
Author(s) -
Wang Frank S.,
Perlmutter D. D.
Publication year - 1968
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.690140222
Subject(s) - plug flow reactor model , composite number , adiabatic process , plane (geometry) , phase plane , mechanics , stability (learning theory) , phase (matter) , continuous stirred tank reactor , equivalence (formal languages) , materials science , control theory (sociology) , physics , mathematics , thermodynamics , engineering , computer science , geometry , chemical engineering , composite material , control (management) , discrete mathematics , nonlinear system , quantum mechanics , machine learning , artificial intelligence
A composite phase plane is introduced in order to describe geometrically the transients of a distributed parameter system with only one physical dimension. Its intrinsic features are discussed and compared with those of the ordinary phase plane. For the plug‐flow tubular reactor an equivalence is established between bounds on the reactor transients and the confinement of their projections on the composite phase plane. A constrained integration method is developed which enables one to find a region of stability for an adiabatic reactor, and a related technique is demonstrated for a nonadiabatic case. A hypothetical reactor system is analyzed numerically to illustrate the application.