A Note on the Multiplicity of the Weisz-Hicks Problem for an Arbitrary "Geometry Factor" Full article
Journal |
Chemical Engineering Science
ISSN: 0009-2509 , E-ISSN: 1873-4405 |
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Output data | Year: 1978, Volume: 33, Number: 1, Pages: 41-46 Pages count : 6 DOI: 10.1016/0009-2509(78)85066-0 | ||||
Tags | CATALYSTS | ||||
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Abstract:
A general non linear equation, derived from the mass and energy balance for non isothermal nth order reaction on catalyst pellets, but with “geometry factor” s different from 0, 1 and 2, is considered.
Numerical solution of this equation for the heat generation parameter β → ∞ shows that an infinite number of steady states exist when 1 <s < 9 while no more than 3 steady states exist for s ⩽ or s > 10.44. A finite number of solutions exist when 9 <s < 10.44. Similar results are obtained for a finite β and it is proved that no more than 3 steady states can exist in cylinder geometry (s = 1) for any value of the reaction parameters.
The results obtained for an Arrhenius type rate constant are discussed and explained by comparison with the simplified model that appears with an exponential approximation of the Arrhenius rate constant.
Apart from their theoretical significance models with variable geometry factor may be useful in explaining results obtained with pellets in the usual geometries but with radially variable diffusivity and catalyst activity.
Cite:
Villadsen J.
, Ivanov E.
A Note on the Multiplicity of the Weisz-Hicks Problem for an Arbitrary "Geometry Factor"
Chemical Engineering Science. 1978. V.33. N1. P.41-46. DOI: 10.1016/0009-2509(78)85066-0 WOS Scopus РИНЦ
A Note on the Multiplicity of the Weisz-Hicks Problem for an Arbitrary "Geometry Factor"
Chemical Engineering Science. 1978. V.33. N1. P.41-46. DOI: 10.1016/0009-2509(78)85066-0 WOS Scopus РИНЦ
Dates:
Submitted: | Nov 30, 1976 |
Accepted: | Mar 24, 1977 |
Published print: | Jan 1, 1978 |
Published online: | Oct 9, 2001 |
Identifiers:
Web of science | WOS:A1978EH84200007 |
Scopus | 2-s2.0-0017918603 |
Elibrary | 30969970 |
Chemical Abstracts | 1978:412694 |
Chemical Abstracts (print) | 89:12694 |
OpenAlex | W1964400270 |