Scale-up and thermal stability analysis of fluidized bed reactors for ethylene polymerization

doi:10.1016/j.cjche.2023.03.023

中国化学工程学报 ›› 2023, Vol. 62 ›› Issue (10): 281-290.DOI: 10.1016/j.cjche.2023.03.023

• Full Length Article • 上一篇下一篇

Scale-up and thermal stability analysis of fluidized bed reactors for ethylene polymerization

Xiaoqiang Fan^1,2, Jingyuan Sun², Jingdai Wang², Zhengliang Huang³, Zuwei Liao², Guodong Han⁴, Yongrong Yang²

1. Ningbo Research Institute, Zhejiang University, Ningbo 315100, China;
2. State Key Laboratory of Chemical Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou 310027, China;
3. Zhejiang Provincial Key Laboratory of Advanced Chemical Engineering Manufacture Technology, Hangzhou 310027, China;
4. Sinopec Tianjin Company, Tianjin 300271, China

收稿日期:2022-11-27 修回日期:2023-03-21 出版日期:2023-10-28 发布日期:2023-12-23
通讯作者: Jingyuan Sun,E-mail:sunjy@zju.edu.cn
基金资助:
The authors gratefully acknowledge financial supports from the Project of the National Natural Science Foundation of China (22178304, 22108239) and the Start-up Funding of Ningbo Research Institute of Zhejiang University (20201207Z0204).

Scale-up and thermal stability analysis of fluidized bed reactors for ethylene polymerization

Xiaoqiang Fan^1,2, Jingyuan Sun², Jingdai Wang², Zhengliang Huang³, Zuwei Liao², Guodong Han⁴, Yongrong Yang²

1. Ningbo Research Institute, Zhejiang University, Ningbo 315100, China;
2. State Key Laboratory of Chemical Engineering, College of Chemical and Biological Engineering, Zhejiang University, Hangzhou 310027, China;
3. Zhejiang Provincial Key Laboratory of Advanced Chemical Engineering Manufacture Technology, Hangzhou 310027, China;
4. Sinopec Tianjin Company, Tianjin 300271, China

Received:2022-11-27 Revised:2023-03-21 Online:2023-10-28 Published:2023-12-23
Contact: Jingyuan Sun,E-mail:sunjy@zju.edu.cn
Supported by:
The authors gratefully acknowledge financial supports from the Project of the National Natural Science Foundation of China (22178304, 22108239) and the Start-up Funding of Ningbo Research Institute of Zhejiang University (20201207Z0204).

摘要/Abstract

摘要： A set of hydrodynamic similarity laws is applied to the scale-up of ethylene polymerization fluidized bed reactors (FBRs) under the condensed mode operation. The thermal stability of open-loop controlled FBRs is investigated by the homotopy continuation method. And the Hopf bifurcation point is selected as an index of the thermal stability similarity. The simulation results show the similarity in state variables, operation parameters, the space–time yield (STY), and the thermal stability of FBRs with different scales. Furthermore, the thermal stability behaviors and similarity of the closed-loop controlled FBRs with different scales are analyzed. The observed similar trend of Hopf bifurcation curves reveals the similarity in the thermal stability of closed-loop controlled FBRs with different scaling ratios. In general, the results of the thermal stability similarity confirm that the hydrodynamics scaling laws proposed in the work are applicable to the scale-up of FBRs under the condensed mode operation.

关键词: Stability, Scale-up, Polymerization, Bifurcation theory, Fluidized bed

Abstract: A set of hydrodynamic similarity laws is applied to the scale-up of ethylene polymerization fluidized bed reactors (FBRs) under the condensed mode operation. The thermal stability of open-loop controlled FBRs is investigated by the homotopy continuation method. And the Hopf bifurcation point is selected as an index of the thermal stability similarity. The simulation results show the similarity in state variables, operation parameters, the space–time yield (STY), and the thermal stability of FBRs with different scales. Furthermore, the thermal stability behaviors and similarity of the closed-loop controlled FBRs with different scales are analyzed. The observed similar trend of Hopf bifurcation curves reveals the similarity in the thermal stability of closed-loop controlled FBRs with different scaling ratios. In general, the results of the thermal stability similarity confirm that the hydrodynamics scaling laws proposed in the work are applicable to the scale-up of FBRs under the condensed mode operation.

Key words: Stability, Scale-up, Polymerization, Bifurcation theory, Fluidized bed

Xiaoqiang Fan, Jingyuan Sun, Jingdai Wang, Zhengliang Huang, Zuwei Liao, Guodong Han, Yongrong Yang. Scale-up and thermal stability analysis of fluidized bed reactors for ethylene polymerization[J]. 中国化学工程学报, 2023, 62(10): 281-290.

参考文献

[1] K.B. McAuley, D.A. MacDonald, P.J. McLellan, Effects of operating conditions on stability of gas-phase polyethylene reactors, AIChE J. 41 (4) (1995) 868–879.
[2] S. Atashrouz, R. Mohammad, B. Nasernejad, J. Soares, Prediction of temperature and concentration profiles in an industrial polymerization fluidized bed reactor under condensed-mode operation, Ind. Eng. Chem. Res. 60 (2) (2021) 990-1013.
[3] J.Y. Sun, H.T. Wang, S.H. Tian, X.Q. Fan, Q. Shi, Y. Liu, X.B. Hu, Y. Yang, J.D. Wang, Y.R. Yang, Important mesoscale phenomena in gas phase fluidized bed ethylene polymerization, 颗粒学报(英文版) (2020) (1)116–143.
[4] rocess for polymerizing monomers in fluidized beds, US.
[5] A. Ben Mrad, N. Sheibat-Othman, S. Valaei, M. Bartke, T.F.L. McKenna, Diffusivity of multicomponent gas mixtures in polyethylene, Macromol. Chem. Phys. 223 (2) (2022) 2100406.
[6] A. Ben Mrad, N. Sheibat-Othman, T.F.L. McKenna, A single particle model to predict the impact of induced condensing agents on polymerizing particles during the gas phase polymerization of ethylene, Macromol. React. Eng. 15 (6) (2021) 2100016.
[7] Process for polymerizing monomers in fluidized beds, US.
[8] L.R. Glicksman, Scaling relationships for fluidized beds, Chem. Eng. Sci. 39 (1984) 1373-1379.
[9] L. Glicksman, M. Hyre, K. Woloshun, Simplified scaling relationships for fluidized beds, Powder Technol. 77 (2) (1993) 177–199.
[10] M. Horio, A. Nonaka, Y. Sawa, I. Muchi, A new similarity rule for fluidized bed scale-up, AIChE J. 32 (9) (1986) 1466–1482.
[11] J. Schouten, M. Vander Stappen, C. Van den Bleek, Scale-up of chaotic fluidized bed hydrodynamics, Chem. Eng. Sci. 51 (1996) 1991-2000.
[12] V.V. Kelkar, K.M. Ng, Development of fluidized catalytic reactors: screening and scale-up, AIChE J. 48 (7) (2002) 1498–1518.
[13] Y.F. Zhou, Q. Shi, Z.L. Huang, Z.W. Liao, J.D. Wang, Y.R. Yang, Realization and control of multiple temperature zones in liquid-containing gas-solid fluidized bed reactor, AIChE J. 62 (5) (2016) 1454–1466.
[14] Y.K. Ho, A. Shamiri, F.S. Mjalli, M. Hussain, Control of industrial gas phase propylene polymerization in fluidized bed reactors, J. Process. Control 22 (6) (2012) 947–958.
[15] R.A. Hutchinson, W.H. Ray, Polymerization of olefins through heterogeneous catalysis—the effect of condensation cooling on particle ignition, J. Appl. Polym. Sci. 43 (7) (1991) 1387–1390.
[16] J. Kosek, Z. Grof, A. Ák, F. Štěpánek, M.Marek, Dynamics of particle growth and overheating in gas-phase polymerization reactors, Chem. Eng. Sci. 56 (13) (2001) 3951–3977.
[17] B. A, Gorbach, Dynamics and stability analysis of solid catalyzed gas-phase polymerization of olefins in continuous stirred bed reactors, Chem. Eng. Sci. 55 (20) (2000) 4461–4479.
[18] L. Luo, N. Zhang, Z. Xia, T. Qiu, Dynamics and stability analysis of gas-phase bulk polymerization of propylene, Chem. Eng. Sci. 143 (2016) 12–22.
[19] H.Z. Wang, N. Zhang, T. Qiu, J.S. Zhao, X.R. He, B.Z. Chen, A process design framework for considering the stability of steady state operating points and Hopf singularity points in chemical processes, Chem. Eng. Sci. 99 (2013) 252–264.
[20] N.P.G. Salau, A.R. Secchi, J.O. Trierweiler, G.A. Neumann, Dynamic behaviour and control of an industrial fluidised-bed polymerisation reactor, Comput. Aided Chem. Eng. 20 (C) (2005) 409–414.
[21] A. Ajbar, K. Alhumaizi, Gas phase polyethylene reactors A global study of stability behaviour, Chem. Eng. Res. Des. 79 (2) (2001) 195–208.
[22] Kyu-Yong, Choi, The dynamic behaviour of fluidized bed reactors for solid catalysed gas phase olefin polymerization, Chem. Eng. Sci. 40 (12) (1985) 2261–2279.
[23] N.M. Ghasem, Effect of polymer growth rate and diffusion resistance on the behavior of industrial polyethylene fluidized bed reactor, Chem. Eng. Technol. 24 (10) (2001) 1049–1057.
[24] N.M. Ghasem, Effect of polymer particle size and inlet gas temperature on industrial fluidized bed polyethylene reactors, Chem. Eng. Technol. 22 (9) (1999) 777–783.
[25] N.P.G. Salau, G. Alberto Neumann, J.O. Trierweiler, A.R.Secchi, Multivariable control strategy based on bifurcation analysis of an industrial gas-phase polymerization reactor, J. Process. Control 19 (3) (2009) 530–538.
[26] Y.F. Zhou, C.J. Ren, J.D. Wang, Y.R. Yang, Characterization on hydrodynamic behavior in liquid-containing gas-solid fluidized bed reactor, AIChE J. 59 (4) (2013) 1056–1065.
[27] Y.F. Zhou, Q. Shi, Z.L. Huang, J.D. Wang, Y.R. Yang, Z.W. Liao, J. Yang, Effects of interparticle forces on fluidization characteristics in liquid-containing and high-temperature fluidized beds, Ind. Eng. Chem. Res. 52 (2013) 16666-16674.
[28] Y.F. Zhou, J.D. Wang, Y.R. Yang, W.Q. Wu, Modeling of the temperature profile in an ethylene polymerization fluidized-bed reactor in condensed-mode operation, Ind. Eng. Chem. Res. 52 (12) (2013) 4455–4464.
[29] S. R, Miller, Evaluation of equilibrium and non-equilibrium evaporation models for many-droplet gas-liquid flow simulations, Int. J. Multiph. Flow 24 (6) (1998) 1025–1055.
[30] T. Kitano, J. Nishio, R. Kurose, S.Komori, Evaporation and combustion of multicomponent fuel droplets, Fuel 136 (2014) 219–225.
[31] X.Q. Fan, J.Y. Sun, J.D. Wang, Z.L. Huang, Z.W. Liao, G.D. Han, Y.R. Yang, L. Xie, H.Y.Su, Stability analysis of ethylene polymerization in a liquid-containing gas-solid fluidized bed reactor, Ind. Eng. Chem. Res. 57 (16) (2018) 5616–5629.
[32] F, Jalali-Farahani, Use of homotopy-continuation method in stability analysis of multiphase, reacting systems, Comput. Chem. Eng. 24 (8) (2000) 1997–2008.
[33] Y.A. Kuznetsov, Element of applied bifurcation theory, In:Applied Mathematical Sciences, Springer, 1994.
[34] X.Q. Fan, J.Y. Sun, Y. Yang, J.D. Wang, Z.L. Huang, Z.W. Liao, G.D. Han, Y.R. Yang, L. Xie, H.Y. Su, Thermal-stability analysis of ethylene-polymerization fluidized-bed reactors under condensed-mode operation through a TPM-PBM integrated model, Ind. Eng. Chem. Res. 58 (2019) 9486-9499.
[35] K. Daizo, O. Levenspiel, Fluidization Engineering, 2nd edition, Butterworth Heinemann, New York, 1991.
[36] H. Hatzantonis, H. Yiannoulakis, A. Yiagopoulos, C. Kiparissides, Recent developments in modeling gas-phase catalyzed olefin polymerization fluidized-bed reactors: the effect of bubble size variation on the reactor’s performance, Chem. Eng. Sci. 55 (16) (2000) 3237–3259.
[37] A. Shamiri, S.W. Wong, M.F. Zanil, M.A. Hussain, N. Mostoufi, Modified two-phase model with hybrid control for gas phase propylene copolymerization in fluidized bed reactors, Chem. Eng. J. 264 (2015) 706–719.
[38] C.G. Yin, Modelling of heating and evaporation of n-heptane droplets: towards a generic model for fuel droplet/particle conversion, Fuel 141 (2015) 64–73.
[39] A. Dhooge, W. Govaerts, Y.A.Kuznetsov, Matcont, ACM Trans. Math. Softw. 29 (2) (2003) 141–164.
[40] H.C. Chang, L. Chen, Bifurcation characteristics of nonlinear systems under conventional pid control, Chem. Eng. Sci. 39 (7–8) (1984) 1127–1142.

Scale-up and thermal stability analysis of fluidized bed reactors for ethylene polymerization

Scale-up and thermal stability analysis of fluidized bed reactors for ethylene polymerization

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