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  • 1
    Electronic Resource
    Electronic Resource
    Lumped kinetics of many parallel nth-order reactions (1990)
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 36 (1990), S. 685-700 
    Details
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The kinetics of lumped nth-order reactions are examined both asymptotically and numerically. The lumped kinetics in most cases are Mth order at large times. There exist two critical values for n, denoted by n* and n*, which are expressed explicitly as functions of the feed properties. It is shown that (1) M = n when n 〉 n*, (2) M is linear in n when n* 〈 n 〈 n*, and (3) M does not exist when n = n* or n ≤ n*. Whenever the feed contains some unconvertibles, M is independent of n for -∞ 〈 n 〈 n*. The overall effective rate constant is not continuous at n = n* nor at n = n*. Unexpectedly, when n 〉 n* the lump's long-time behavior is governed by all species, not just by the most refractory species. Although the asymptotic kinetics are developed for long times, they are useful for fitting the whole-time behavior of the lump by an mth-order model. This is true even when M does not exist in the asymptotic regime. Numerical experiments show that M and m behave similarly in many respects. For example, as n increases, they both become closer to n and less dependent on the feed properties. Some published data are rationalized in light of the present results.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/aic.690360506
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  • 2
    Electronic Resource
    Electronic Resource
    Analysis of autocatalytic reactions in isothermal catalyst particles (1990)
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 36 (1990), S. 342-352 
    Details
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Multiplicity features of autocatalytic reactions in isothermal catalyst particles with diffusion interaction are presented. Discussed also are two types of autocatalytic reactions - A + B → 2B (quadratic) and A + 2B → 3B (cubic) - and a decay reaction for autocatalyst B, B → C, and a nonautocatalytic reaction, A → B, which generates the autocatalyst. For quadratic reactions, the bifurcation diagrams for a catalyst particle are similar to those for a CSTR. The location of the branch solution, however, is somewhat different. For cubic autocatalytic reactions, the exact parameter regions, where the isola, mushroom, reverse-S, and reverse-S-plus-isola patterns of bifurcation exist, are determined. Furthermore, the parameter space, where a unique solution exists for all Thiele moduli, is also given.
    Additional Material: 13 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/aic.690360304
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