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On a conjecture of Aris: Proof and remarks
Author(s) -
Luss Dan,
Amundson Neal R.
Publication year - 1967
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.690130431
Subject(s) - symmetrization , conjecture , mathematics , isothermal process , domain (mathematical analysis) , particle (ecology) , order (exchange) , cylinder , calculus (dental) , pure mathematics , thermodynamics , mathematical analysis , physics , geometry , medicine , oceanography , dentistry , finance , economics , geology
In this paper a conjecture of Aris is proved to be correct, that of all catalyst particles of fixed volume for isothermal first‐order chemical reactions the spherical particle has the lowest effectiveness factor. The method of proof uses a process of symmetrization. Some conjectures are also made about other chemical reactions. The method of proof is also valid for two‐dimensional domain (infinite cylinder).