Estimation of lumped effectiveness factor for many bimolecular reactions
โ Scribed by T.C. Ho; B.Z. Li; J.H. Wu
- Book ID
- 103007761
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 557 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0009-2509
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โฆ Synopsis
This paper addresses the overall behavior of a reaction mixture in which many irreversible bimolecular reactions occur in catalyst particles of three different shapes (slab, long cylinder, and sphere). Specifically, we develop a priori upper and lower bounds on the effectiveness factor for the mixture as a whole. These bounds provide information on the asymptotic behavior of the mixture under severe diffusion limitation. Improved bounds are obtained by reducing the problem to that of finding the effectiveness factor for a sinale second-order reaction. The bounds are used to estimate the mixture's effectiveness factor--based on information about the average and the spread of the Thiele moduli.
๐ SIMILAR VOLUMES
S~~~YIUI~ from the generalized theory of blmolwlar diffusion-controlled reactiorus betwatn reagents in soli& and liquids, we have performed calculations of Lhe A+B \* AB (F'renkel defecL anmhilalion) and A+A + B (exciton annihdation) reaction kinetics over a wide time interval and for high initial c
With the exception of work by Goto et al., all these earlier studies considered only a bimolecular reaction with pseudofirst-order kinetics; i.e., first order with respect to the limiting reactant and zero order for the excess reactant. Goto et al. used pseudo-nth-order kinetics. Recently, Beaudry e
The case of double parallel reaction scheme taking place in a porous catalytic pellet is analyzed. Effectiveness factor expressions for both reactions are derived after matching asymptotic solutions strictly valid for small and lame values of the Thiele moduli It is assumed that th: kinetics of both