Steady-state multiplicity for autocatalytic reactions in a nonideal mixing of CSTR with two unpremixed feeds

• Published in: Chemical engineering science Vol. 50; no. 22; pp. 3645 - 3650
• Main Authors: Chien, Yu-Shu, Liou, Ching-Tien
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 1995; Elsevier
• Subjects: Applied sciences; Chemical engineering; Exact sciences and technology; Reactors; Isothermal condition; Multiplicity of steady states; Theoretical study; Numerical simulation; Autocatalysis; Mathematical model; Continuous stirred tank reactor; Modeling; Non ideal mixture
• ISSN: 0009-2509; 1873-4405
• DOI: 10.1016/0009-2509(95)00194-A

The necessary and sufficient conditions for multiplicity are derived for isothermal autocatalytic reactions in a nonideal mixing of CSTR with two unpremixed feeds. Cholette's model is utilized in this paper. The ratio of the fraction of the feed for A to B entering the zone of perfect mixing, ( n b n a ), is indicated to determine significantly the multiplicity and uniqueness region. When the ( n b n a ) is larger (smaller) than 1, the multiplicity region decreases (increases), and the conversion in active space increases (decreases). When ( n b n a ) is equal to 1, the multiplicity region and the conversion in active space are the same as those in the ideal mixing. If operating in a unique region in the ideal mixing, the system may show multiplicity when ( n b n a ) < 1 . On the other hand, if operating in a multiplicity region in the ideal mixing, the system may show uniqueness when ( n b n a ) > 1 .