Mathematical model of runaway reaction pressure in closed container and its application in vent calculation

DONG Ze; CHEN Liping; CHEN Wanghua; MA Yingying

doi:10.11949/j.issn.0438-1157.20170403

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Mathematical model of runaway reaction pressure in closed container and its application in vent calculation

更新时间：2025-12-10

- Mathematical model of runaway reaction pressure in closed container and its application in vent calculation
- CIESC Journal Issue 11, Pages: 4453-4460(2017)
- 作者机构：
  
  1. 南京理工大学化工学院,江苏,南京,210094
  2. 索尔维投资有限公司(中国),上海,201108
- 作者简介：
- 基金信息：
- DOI：10.11949/j.issn.0438-1157.20170403
  CLC： X933}
- Online First：05 November 2017，
  
  Published：05 November 2017
- 稿件说明：
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DONG Ze, CHEN Liping, CHEN Wanghua, et al. Mathematical model of runaway reaction pressure in closed container and its application in vent calculation[J]. CIESC Journal, 2017, (11): 4453-4460.
DOI：

DONG Ze, CHEN Liping, CHEN Wanghua, et al. Mathematical model of runaway reaction pressure in closed container and its application in vent calculation[J]. CIESC Journal, 2017, (11): 4453-4460. DOI： 10.11949/j.issn.0438-1157.20170403.

摘要

安全泄放是在失控条件下降低反应体系风险最为经济有效的技术措施之一。研究压力的数学模型既可以为泄放计算提供必要的参数，又可以让工程师深入了解样品在容器内的压力变化情况，设计出更可靠的泄放系统，并且在减少实验量的同时，还可以计算不同装载率下的泄放面积。以20% DTBP（过氧化二叔丁基）的ARC（加速度量热仪）测试为标准，结合理论推导得到了绝热条件下密闭容器中失控反应超压的数学模型，并将绝热修正后的压力测试曲线与模型模拟的压力曲线对比，验证了模型的正确性。最后，将模型的压力模拟数据应用于20% DTBP的泄放计算中，结合Leung方法，得到了不同装载率下的泄放面积，发现在装载率为20%时，泄放面积达到最大为0.0035 m2。研究结果表明建立的压力数学模型是正确可靠的，并且该模型能较好地应用于压力泄放的计算中。

Abstract

Venting system that can reduce risks under runaway reactions was one of the most economical and effective measures. The study of pressure mathematical model provided necessary parameters for vent calculation

and helped engineers design more reliable venting system by understanding pressure tendency. Moreover

this model supported to calculate vent area in different filling ratios with less experiment. The ARC (accelerating rate calorimeter) test of 20%DTBP (di-tert-butyl peroxide) was chosen as the standard test. Combined with theory

the mathematical model of pressure in closed container was first deduced

which was suitable for adiabatic condition. Then

according to the comparison between adiabatic corrected test data and model simulated data

the correctness for this model was verified. Combined with Leung method

vent calculation was carried out with the model pressure simulation data. From the calculation

the vent area reached its maximum

while the filling ratio equaled 20%. The established closed container pressure model was correct and reliable. Furthermore

this model can be applied to the calculation of vent area.

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