Premium
A general algorithm for multistage multicomponent separation calculations
Author(s) -
Ishii Yoshikazu,
Otto Fred D.
Publication year - 1973
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.5450510512
Subject(s) - distillation , algorithm , enthalpy , computer science , mathematics , multivariate statistics , separation (statistics) , flow (mathematics) , mathematical optimization , thermodynamics , chemistry , physics , chromatography , geometry , machine learning
This paper presents a new general calculational method for equilibrium stage processes. The method employs a multivariate Newton procedure to solve all equations simultaneously for corrections to temperatures, flow rates and compositions. The linearized model equations are selected so that only 2N (1 + NCP) partial derivatives need to be evaluated per iteration. Experience to date indicates that the method is reliable for both distillation and absorption problems and requires less computing time than current procedures. The rigorous solution of a reboiled absorber problem for 16 stages and 15 components required 5 iterations and 14.4 seconds on an IBM 360/67 computer even when the Chao‐Seader correlation was employed for the direct calculation of composition dependent equilibrium and enthalpy data.