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An accelerated successive substitution method for single stage flash calculations
Author(s) -
Gupta Anup K.,
Bishnoi P. R.,
Kalogerakis N.
Publication year - 1988
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.5450660216
Subject(s) - substitution (logic) , acceleration , convergence (economics) , eigenvalues and eigenvectors , mathematics , stage (stratigraphy) , computer science , thermodynamics , physics , classical mechanics , quantum mechanics , economics , programming language , economic growth , paleontology , biology
An acceleration technique, based on the Dominant Eigenvalue Method of Orbach and Crowe (1971), is proposed to accelerate a successive substitution method in which liquid and vapor compositions are used as the iteration variables. The performance of this scheme is compared with the accelerated successive substitution method of Mehra et al. (1983) and the General Dominant Eigenvalue Method (GDEM) of Crowe and Nishio (1975) as implemented by Michelsen (1982, 1987) which iterate upon the equilibrium ratios. The proposed acceleration scheme exhibits a less oscillatory behavior during convergence, and requires less storage than the accelerated methods using the K ‐factors as the iteration variables. However, the number of thermodynamic evaluations is comparable with that of Mehra et al. (1983) and is more than that of Michelsen (1982, 1987).