一维平推流反应器动态模型的新型求解方法

doi:10.16085/j.issn.1000-6613.2019-1207

化工进展 ›› 2019, Vol. 38 ›› Issue (s1): 70-76.DOI: 10.16085/j.issn.1000-6613.2019-1207

一维平推流反应器动态模型的新型求解方法

祁亮¹, 张波¹, 尚秦玉¹, 王雁冰², 曹志凯², 李薇², 周华²

1 中国石油天然气有限公司独山子石化分公司热电厂, 新疆独山子 833600;
2 厦门大学化学化工学院, 福建厦门 361005

收稿日期:2019-07-31 修回日期:2019-08-06 出版日期:2019-11-16 发布日期:2019-11-16
通讯作者: 周华,副教授,研究方向为过程系统工程。
作者简介:祁亮(1983-),男,工程师,研究方向为热工。E-mail:rdc_qiliang@petrochina.com.cn。
基金资助:
国家自然科学基金面上项目（21576228）。

A novel method for solution of the one-dimensional dynamic mathematical model of PFR

QI Liang¹, ZHANG Bo¹, SHANG Qinyu¹, WANG Yanbing², CAO Zhikai², LI Wei², ZHOU Hua²

1 Thermoelectric Power Plant of Dushanzi Petrochemical Corporation, Dushanzi 833600, Xinjiang, China;
2 College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, Fujian, China

Received:2019-07-31 Revised:2019-08-06 Online:2019-11-16 Published:2019-11-16

摘要/Abstract

摘要： 目前对一维平推流反应器动态模型求解时，常将反应体系中气体的体积流量假设为恒定参数。由于实际过程中气体的体积流量会随着温度等相关参数的改变而不断变化，该假设会对模拟结果带来一定的误差。本文针对此问题提出一种新的求解方法：首先通过有限差分法将动态模型中的空间和时间变量均离散化得到相应的代数方程组，再结合气体状态方程，推导出浓度关于气体摩尔流量和温度的函数，然后联立方程组进行求解；此方法有效克服了动态模拟中由于气体的体积流量变化而导致模型方程难以求解的困难。将所提出的方法应用于丙酮气相裂解生成乙烯酮过程的动态模拟，并将所得到的模拟结果与线上法动态模拟的结果进行比较，结果表明所提出的求解方法得到的模拟结果更加精确。

关键词: 动态仿真, 平推流反应器, 有限差分法, 体积流量, 算法

Abstract: The volumetric flowrate of reactants (i.e. gas or liquid) is simplified as constant in dynamic modeling of the one-dimensional piston flow reactor (PFR). However, the volumetric flowrate of the gas is often easily effected by many factors such as temperature, pressure and molar flowrate. Therefore, the relative error of simulation results should be enlarged because of the simplification. To solve this problem, a novel method for solution of the dynamic model of PFR is presented in this work. In the novel method, the finite difference method is improved by introducing a mathematical expression for the flowrate of gaseous feedstock. To validate the method, the provided novel method and classic method of line (MOL) are applied in dynamic modeling PFR of the vapor-phase cracking of acetone to ketene and methane. Furthermore, the simulation results of different methods are compared and more accurate simulation results is obtained by the novel method.

Key words: dynamic simulation, piston flow reactors, finite difference, volumetric flow rate, algorithm

中图分类号:

TQ015

祁亮, 张波, 尚秦玉, 王雁冰, 曹志凯, 李薇, 周华. 一维平推流反应器动态模型的新型求解方法[J]. 化工进展, 2019, 38(s1): 70-76.

QI Liang, ZHANG Bo, SHANG Qinyu, WANG Yanbing, CAO Zhikai, LI Wei, ZHOU Hua. A novel method for solution of the one-dimensional dynamic mathematical model of PFR[J]. Chemical Industry and Engineering Progress, 2019, 38(s1): 70-76.

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一维平推流反应器动态模型的新型求解方法

A novel method for solution of the one-dimensional dynamic mathematical model of PFR

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