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Use of orthogonal collocation methods for the modeling of catalyst particles—I. Analysis of the multiplicity of the solutions

✍ Scribed by B. Van Den Bosch; L. Padmanabhan

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
704 KB
Volume
29
Category
Article
ISSN
0009-2509

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✦ Synopsis

Different collocation methods are compared in their ability to predict the effectiveness factor for the general case of a catalyst particle with both internal and external resistance to mass and heat transfer. The accuracy of the methods in determining the bifurcation points which separate regions of uniqueness and multiplicity of the steady states is tested. First order orthogonal collocation and the linearization method, shown to be almost equivalent for all cases, give poor approximations. Even high order orthogonal collocation is sometimes inaccurate in predicting the low concentration steady states. An excellent alternative is a variation of the Paterson-Cresswell technique which is a combination of the low and high reactivity models. This modified technique is able to predict the existence of five steady states first demonstrated by Hatfield and Ark.

📜 SIMILAR VOLUMES

Use of orthogonal collocation methods fo
Use of orthogonal collocation methods for the modeling of catalyst particles—II analysis of stability
✍ B. Van den Bosch; L. Padmanabhan 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 504 KB

The use of high-order orthogonal collocation methods leads to accurate prediction of the critical Lewis number characterizing the transient instability of the steady states of a catalyst particle with arbitrary external resistance. When combined with a suitable algorithm for the determination of the

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✍ L. Hellinckx; J. Grootjans; B. Van Den Bosch 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 263 KB

Obviously this is a rough approximation, Etiicularly since the time intervals are rather large for purposes of timeaveraging and the reaction rate itself changes rapidly with time. However, in view of the difficulties in the experimental procedure and limitations of accuracy attainable in it, a more