Abstract In this research, a mathematical model for an industrial methanol reactor is developed comparing different kinetic models: Graaf et al., Vanden Bussche and Froment, pseudo first order and pseudo zero order. Similar studies have not been carried out previously. The considered reactor is multi-tubular with a methanol productivity of 2061 ton/day. Comparing the results obtained by mathematical models with experimental data, it is evident that only the Vanden Bussche and Froment kinetic model describes the methanol industrial reactor better. Also, it results that for all kinetic models, the effectiveness factor is equal to 1: for industrial reactors at high pressure and low temperature limitation phenomena are not present (the calculated Weis-Prater parameter is equal to 0.03). A sensitivity analysis is developed to analyze the effect of recycling ratio, global heat exchange coefficient, temperature, pressure, tube diameter on carbon conversion and specific heat flux. By increasing the recycling ratio and temperature, carbon conversion decreases, while by increasing all parameters, excluding the recycling ratio, the exchanged heat decreases. Different feeds are also analyzed: coke oven gas allows the highest methanol production, while flue gas and hydrogen from water electrolysis ensure the lowest productivity.

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使用不同动力学模型对甲醇反应器进行数学建模

摘要 在这项研究中，建立了工业甲醇反应器的数学模型，比较了不同的动力学模型：Graaf 等人、Vanden Bussche 和 Froment、伪一级和伪零级。以前没有进行过类似的研究。所考虑的反应器是多管式的，甲醇生产率为 2061 吨/天。将数学模型得到的结果与实验数据进行比较，很明显只有 Vanden Bussche 和 Froment 动力学模型更好地描述了甲醇工业反应器。此外，它的结果是对于所有动力学模型，有效性因子等于 1：对于高压和低温的工业反应器，不存在限制现象（计算的 Weis-Prater 参数等于 0.03）。开发了敏感性分析来分析回收率、全局热交换系数、温度、压力、管径对碳转化率和比热通量的影响。通过增加回收率和温度，碳转化率降低，而通过增加除回收率之外的所有参数，交换热量减少。还分析了不同的进料：焦炉气允许最高的甲醇产量，而来自水电解的烟道气和氢气确保最低的生产率。