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On the steady states of distributed parameter systems with chemical reactions, heat, and mass transfer

Gavalas, G. R. (1966) On the steady states of distributed parameter systems with chemical reactions, heat, and mass transfer. Chemical Engineering Science, 21 (6-7). pp. 477-492. ISSN 0009-2509. https://resolver.caltech.edu/CaltechAUTHORS:20151104-112515516

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Abstract

The number of steady states for a distributed system with chemical reactions, heat, and mass transfer is investigated by means of fixed point methods. The main step in the analysis is the establishment of a priori bounds for the steady state concentrations and temperature. Such bounds can be derived from the conservation of atomic species and energy, independently of the reaction rates and the size of the medium. It is shown in great generality that steady states exist and they are odd in number. Improved bounds obtained by considering the reaction rates and the size of the medium are used in developing criteria for the uniqueness of the steady state. It is shown that if the medium is sufficiently small there is one only steady state. An example of two second order simultaneous exothermic chemical reactions in a catalyst particle is treated in detail and numerical results are obtained.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0009-2509(66)85062-5DOIArticle
http://www.sciencedirect.com/science/article/pii/0009250966850625PublisherArticle
ORCID:
AuthorORCID
Gavalas, G. R.0000-0003-1468-6835
Additional Information:© 1966 Pergamon Press Ltd. Received 8 December 1965; in revised form 21 January 1966.
Issue or Number:6-7
Record Number:CaltechAUTHORS:20151104-112515516
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20151104-112515516
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:61820
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:04 Nov 2015 21:26
Last Modified:03 Oct 2019 09:12

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