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Multiple minima in a fluidized reactor—heater system
Author(s) -
Chen Herbert T.,
Fan L. T.
Publication year - 1976
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.690220408
Subject(s) - maxima and minima , fluidized bed , work (physics) , nonlinear system , type (biology) , mathematical optimization , mathematics , optimal design , control theory (sociology) , computer science , process engineering , engineering , mechanical engineering , mathematical analysis , physics , waste management , geology , artificial intelligence , paleontology , control (management) , quantum mechanics , statistics
A minimum cost design problem for a single‐reaction fluidized‐bed reactor system is analyzed in this paper. The problem's mathematical interest stems from Wilde's statements (1974) that there can be only two types of design to this nonlinear, nonconvex, multimodal problem. It is shown by a direct search procedure that, in fact, there are at least four types of optimal design. Furthermore, the type 3, rather than the type 1 design, is the global solution to the numerical example considered in Wilde's work, if the required auxiliary cooler cost is excluded.