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
Stability analysis of the catalyst particle through orthogonal collocation:
β Scribed by L. Hellinckx; J. Grootjans; B. Van Den Bosch
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 263 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0009-2509
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β¦ Synopsis
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 exact kinetic treatment will be of no greater value for these data. Rate profiles calculated in this way are plotted in two possible ways in Figs. 2 and3.
Both the temperature profiles and the rate profiles in the rapidly fouling catalyst bed show clear maxima, the loci of which advance through the bed as a function of process time. This experimentally confirms the theoretical prediction of Froment and Bischoff [ 11 about the nature of such profiles in nonsteady situations in a rapidly fouling catalyst bed. Since the results are at best semi-quantitative, a more direct and quantitative comparison with the Froment-Bischoff theory and its mathematical equations is not possible.
Detailed results [3] of the present study also show that, for a given initial reactor temperature and gas flow rate, the temperature peak in the catalyst bed advances with a constant velocity; this peak velocity increases with increasing H,S concentration and decreasing initial reactor temperature. The effective life of the catalyst bed, as indicated by the break-through of HsS through the bed, decreases linearly with increasing peak velocity.
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