Multiple reaction scheme modelling |
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Authors: | J. P. Elder |
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Affiliation: | 1. Merck & Co., Inc., P.O. Box 2000, 07065-0900, Rahway, NJ, USA
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Abstract: | An analysis has been performed of the characteristics of the effective reactions, generated under non-isothermal conditions at constant heating rates, resulting from various equal weight combinations of sets of mutually independent, individual reactions obeying the Avrami-Erofeev kinetics laws in which two and three dimensional random nucleation phenomena are the rate-controlling mechanisms. As in previous analyses, dealing with multiple sets of first andn th order singular reactions, with regard to the separation of the individual extent and rate of reaction — temperature curves, three model classes have been considered. The relative spacing at one defined temperature either decreases/increases by a set increment or remains constant. Sets comprising from five to fifty members have been examined. The effective reaction data at each heating rate has been subjected to Arrhenius analysis, and data, generated over a range of heating rates, has been analyzed using the generalized Kissinger and Friedman iso-conversional approach. The effective reaction may be analyzed assuming it obeys the Avrami-Erofeev law or as ann th order reaction. The several features resulting from the various analyses will be discussed. |
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