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Accelerated successive substitution schemes for bubble‐point and dew‐point calculations
Author(s) -
Peng DingYu
Publication year - 1991
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.5450690421
Subject(s) - iterated function , substitution (logic) , bubble point , mathematics , dew point , saturation (graph theory) , substitution method , acceleration , simple (philosophy) , bubble , mathematical analysis , computer science , thermodynamics , physics , mechanics , combinatorics , telecommunications , philosophy , classical mechanics , epistemology , programming language
The accelerated successive substitution (SS) algorithms developed by Mehra et al. for flash calculations have been extended to the prediction of saturation points. A transformation matrix which is used to calculate the acceleration parameter has been rewritten in a form that is applicable at the saturation conditions. Simple equations for estimating the initial values and recursive formulae according to which the iterates can be updated are presented. The proposed schemes were compared with the conventional SS method and a multivariate Newton's method. The comparison suggests that the accelerated SS schemes are more tolerant of poor initial values and sometimes more efficient than Newton's method.