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高精度的数值法被用于求解邻二甲苯制取苯酐模型中。此方法是将基本的微分方程改写为S系统(synergisticandsaturablesystem)的标准形式,结合变阶变步长的泰勒级数法进行求解,得到了不同进料温度和不同压强下的苯酐和二氧化碳收率分布以及反应器床层的轴向温度分布曲线,并与龙格库塔法的计算结果做了对比。分析得出热点温度和苯酐及二氧化碳收率随着进料温度增大而增大,同时苯酐及二氧化碳收率也随着操作压强的增大而增大。当进料温度为638K时热点温度变的非常高,而且进料温度相差1度时热点温度会相差几十度。精确求解不同进料温度和操作压强下的热点温度对工程实际操作中催化剂的保护和设备维护有着十分重要的指导意义。
High-precision numerical method was used to solve o-xylene to prepare phthalic anhydride model. In this method, the basic differential equation is rewritten as the standard form of synergistic and systemic system, and the Taylor series method with variable step size is used to solve the equation. The yield distributions of phthalic anhydride and carbon dioxide under different feed temperatures and pressures are obtained As well as the axial temperature distribution curve of the reactor bed, and compared with the Runge-Kutta method. The results showed that the temperature of hot spots and the yield of phthalic anhydride and carbon dioxide increased with the increase of feed temperature. Meanwhile, the yield of phthalic anhydride and carbon dioxide also increased with the increase of operating pressure. When the feed temperature is 638K when the hot spot temperature becomes very high, and the feed temperature difference of 1 degree hot spot temperature difference of dozens of degrees. Accurately solving the temperature of hot spots under different feed temperatures and operating pressures has very important guiding significance for the catalyst protection and equipment maintenance in the practical operation of the project.