Parametric sensitivity for thermal runaway and its critical criterion in batch rectors

The parametrically sensitive point of batch reactor was proved to be the contact point where the operation curve is tangent with the locus of inflection points of operation curves by taking the definition of parametric sensitivity as the theoretical basis and mathematical starting point. The upper limit of the safe operation temperature of the batch reactor was derived in which a first order reaction was carried out. An new safe operation criterion of the reaction system was obtained by tanking advantage of the relationship between the maxima temperature point on the critical operation curve and the inflection point on the supercritical one. This new criterion was compared with the classic criteria which proposed by Adler and Enig, van Welsenaere and Froment, Morbidelli and Varma and it agrees well with the experimental data measured by Allen and Rice.