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The mathematical representation of a light hydrocarbon refining network
Author(s) -
Petryschuk W. F.,
Johnson A. I.
Publication year - 1968
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.5450460512
Subject(s) - relaxation (psychology) , block (permutation group theory) , distillation , algebraic equation , computation , representation (politics) , refining (metallurgy) , column (typography) , fractionating column , nonlinear system , ibm , computer science , mathematics , simultaneous equations , algorithm , differential equation , chemistry , mathematical analysis , materials science , physics , chromatography , geometry , law , psychology , social psychology , quantum mechanics , political science , connection (principal bundle) , politics , nanotechnology
The block‐relaxation method, system‐tH equations and a direct sequential calculation have been combined to solve the non‐linear algebraic equations describing the steady‐state behavior of a multi‐recycle network of five distillation towers and two reactors. Approximately 2,000 such equations are solved in 30 minutes of IBM 7040 computation time. The existence of optimum tolerances on individual column calculations and on individual recycle calculations is demonstrated. The application of the block‐relaxation method to a network of distillation columns is numerically shown to simultaneously converge the network equations and the individual column equations to the final solution.