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Some complements in combinatorics of sharp separation systems synthesis
Author(s) -
Floquet P.,
Domenech S.,
Pibouleau L.,
Aly S. M.
Publication year - 1993
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.690390607
Subject(s) - mathematics , combinatorics , catalan number , simple (philosophy) , expression (computer science) , generating function , term (time) , separation (statistics) , function (biology) , component (thermodynamics) , computer science , physics , statistics , philosophy , epistemology , quantum mechanics , evolutionary biology , biology , programming language , thermodynamics
Abstract The analysis of combinatorics of sequences of sharp separation systems is a problem extensively studied in chemical engineering. Thompson and King (1972) first presented a closed‐form expression for determining a number of possible sequences for separating an n‐component mixture into pure products by using simple (one input and two outputs) sharp separators. Then, Shoaei and Sommerfeld (1986) showed that this determination could be interpreted in term of Catalan numbers; recently Wahl and Lien (1990) derived this formula from a generating function. This article presents a closed‐form expression for a number of different possible separation sequences when complex (one input and three or more outputs) separators are used.