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在化学工业生产中,经常遇见许多多级化学反应过程。例如,多级的溶质串连提取。连续搅拌、热交换、绝热管道反应等等过程,都存在最佳设计问题,即在相同的设备情况下,如何选择操作条件,使得生产指标达到最好。这篇文章针对数学模型为差分方程X_1~(n-1)=X_1~n+θ~n(X_1~n);n=1、2、………NX_1~0=aX_2~(n-1)=X_2~n+θ~n(X_1~n);n=1、2、………NX_1~0=0的分级化学过程,介绍了有关最佳设计的一个有效算法(此算法是根据离散的最大值原理所导出的),讨论了串联提取过程的冲洗水的最佳分配问题和连续搅拌最佳温度和最佳时间的选择问题。并附有数值例子。
In the chemical industry, many multistage chemical reactions are often encountered. For example, multistage solute extraction in tandem. Continuous mixing, heat exchange, adiabatic pipe reactions and so on, there are the best design issues, that is, in the case of the same equipment, how to choose the operating conditions, making the production targets to achieve the best. This article aims at the mathematical model for the differential equation X_1 ~ (n-1) = X_1 ~ n + θ ~ n (X_1 ~ n); n = 1,2, ... NX_1 ~ 0 = aX_2 ~ (n-1) = X_2 ~ n + θ ~ n (X_1 ~ n); n = 1,2, ......... NX_1 ~ 0 = 0 The classification of the chemical process, introduced an effective algorithm for the best design (this algorithm is based on discrete Maximum principle), the optimal distribution of flushing water and the selection of the optimal temperature and the optimum time for continuous stirring are discussed. With numerical examples.