A Note on the Multiplicity of the Weisz-Hicks Problem for an Arbitrary "Geometry Factor" Научная публикация
Журнал |
Chemical Engineering Science
ISSN: 0009-2509 , E-ISSN: 1873-4405 |
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Вых. Данные | Год: 1978, Том: 33, Номер: 1, Страницы: 41-46 Страниц : 6 DOI: 10.1016/0009-2509(78)85066-0 | ||||
Ключевые слова | CATALYSTS | ||||
Авторы |
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Организации |
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Реферат:
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.
Библиографическая ссылка:
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
Даты:
Поступила в редакцию: | 30 нояб. 1976 г. |
Принята к публикации: | 24 мар. 1977 г. |
Опубликована в печати: | 1 янв. 1978 г. |
Опубликована online: | 9 окт. 2001 г. |
Идентификаторы БД:
Web of science | WOS:A1978EH84200007 |
Scopus | 2-s2.0-0017918603 |
РИНЦ | 30969970 |
Chemical Abstracts | 1978:412694 |
Chemical Abstracts (print) | 89:12694 |
OpenAlex | W1964400270 |