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On the numerical solution of problems in multicomponent distillation at the steady state
Author(s) -
Billingsley D. S.
Publication year - 1966
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.690120617
Subject(s) - distillation , jacobian matrix and determinant , convergence (economics) , numerical analysis , steady state (chemistry) , basis (linear algebra) , mathematics , mathematical analysis , chemistry , geometry , economics , economic growth , organic chemistry
A part of the empirical and generally effective θ method of Holland for the numerical solution of steady state multicomponent distillation problems is placed on a sound mathematical basis. Additional analysis of two other aspects of the numerical procedure is also presented. Finally, some numerical Jacobian types of matrices are discussed for two test problems. This discussion provides a numerical comparison between the strength of convergence of Holland's approach and direct iteration.