Hydrodynamic mechanisms of jet mixing-induced cooling enhancement​ for reactor thermal stability using an experimental-CFD approach

Authors

  • Nadia Kamarrudin Faculty of Chemical Engineering, Universiti Teknologi MARA (UiTM), Shah Alam 40450, Malaysia , MARA University of Technology image/svg+xml , Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600, Bandar Baru Bangi Selangor, Malaysia , National University of Malaysia image/svg+xml , Surface Coating Research Group, Faculty of Chemical Engineering, Universiti Teknologi MARA (UiTM), Shah Alam 40450, Malaysia https://orcid.org/0000-0003-0374-2061
  • Masli Irwan Rosli Faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, 43600, Bandar Baru Bangi Selangor, Malaysia , National University of Malaysia image/svg+xml
  • Mohd Sobri Takriff Chemical and Water Desalination Engineering Program, College of Engineering, University of Sharjah, P.O.Box 27272 Sharjah, United Arab Emirates , University of Sharjah image/svg+xml

DOI:

https://doi.org/10.15282/jmes.20.3.2026.1.0878

Keywords:

cooling enhancement, Reynolds number, Jet mixing, CFD, Hydrodynamic mechanism

Abstract

Thermal runaway is a severe process safety hazard, particularly in stirrerless reactors, where the absence of mechanical agitation limits heat redistribution under abnormal operating conditions. Jet mixing cooling combines coolant injection with internal circulation; however, the hydrodynamic mechanisms by which jet configuration influences the transient thermal response remain insufficiently characterized. This study integrates experiments and Computational Fluid Dynamics (CFD) to examine jet Reynolds number (Rej) effects for a 45° side jet and 90° axial bottom jet in a cylindrical vessel (0.16 m in diameter and 0.24 m in liquid height). Experiments were conducted at Rej = 3828, 4290, 4752, and 5148. After validation, the CFD analysis was extended to Rej = 5610 and 5808. The CFD model was validated for the representative 90° axial bottom jet at two thermocouple locations, with average relative errors of 0.91% at TC1 and 0.88% at TC2. Increasing Rej reduced t50 and t90 by approximately 35% to 36% for both configurations. At the same Rej, the axial bottom jet reduced t50 by 7.2% to 8.1% and t90 by 3.8% to 5.5% relative to the side jet, consistently providing better cooling performance. The CFD fields show that increasing Rej increases transport intensity, whereas jet orientation determines how momentum is organized within the vessel. The axial jet develops symmetric recirculation throughout the vessel depth, whereas the side jet produces an asymmetric circulation pathway. The results establish how jet momentum and hydrodynamic structure influence transient cooling and provide practical guidance for stirrerless reactor cooling systems during thermal excursions.

References

[1] A. Kummer, T. Varga, and J. Abonyi, “Genetic programming-based development of thermal runaway criteria,” Computer Chemical Engineering, vol. 131, p. 106582, 2019, https://doi.org/10.1016/j.compchemeng.2019.106582.

[2] C. Villemur, L. Petit, N. Bianchini, and P. Rotureau, “Runaway reaction hazard assessment for chemical processes safety,” Chemical Engineering Transactions, vol. 77, pp. 451–456, 2019, https://doi.org/10.3303/CET1977076.

[3] S. G. Balasubramanian and J. F. Louvar, “Study of major accidents and lessons learned,” Process Safety Progress, vol. 21, no. 3, pp. 237–244, 2002, https://doi.org/10.1002/prs.680210309.

[4] A. Dakkoune, L. Vernières-Hassimi, S. Leveneur, D. Lefebvre, and L. Estel, “Risk analysis of French chemical industry,” Safety Science, vol. 105, pp. 77-85, 2018, https://doi.org/10.1016/j.ssci.2018.02.003.

[5] V. V. Londhe and K. S. Deshmukh, “Practical approach to prediction and prevention of runaway reactions,” World Journal of Advanced Research and Reviews, vol. 16, no. 2, pp. 139–144, 2022, https://doi.org/10.30574/wjarr.2022.16.2.1137.

[6] T. Abbasi, H. J. Pasman, and S. A. Abbasi, “A scheme for the classification of explosions in the chemical process industry,” Journal of Hazardous Materials, vol. 174, no. 1–3, pp. 270–280, 2010, https://doi.org/10.1016/j.jhazmat.2009.09.047.

[7] Y. N. Yang, J. Jin, L. T. Zhu, Y. N. Zhou, and Z. H. Luo, “Runaway criteria for predicting the thermal behavior of chemical reactors,” Current Opinion in Chemical Engineering, vol. 43, p. 100986, 2024, https://doi.org/10.1016/j.coche.2023.100986.

[8] Q. Chen, L. Ni, J. Jiang, and Q. Wang, “Modeling of runaway inhibition in batch reactors using encapsulated phase change materials,” Renewable Energy, vol. 170, pp. 387–399, 2021, https://doi.org/10.1016/j.renene.2021.01.132.

[9] Y. Wu, H. Ye, and H. Dong, “An inherently safer design approach based on process safety time for batch chemical reaction processes,” Process Safety and Environmental Protection, vol. 171, pp. 353–364, 2023, https://doi.org/10.1016/j.psep.2023.01.007.

[10] J. Jiang, J. Yang, J. Jiang, Y. Pan, Y. Yu, and D. Zhou, “Numerical simulation of thermal runaway and inhibition process on the thermal polymerization of styrene,” Journal of Loss Prevention in the Process Industries, vol. 44, pp. 465–473, 2016, https://doi.org/10.1016/j.jlp.2016.10.017.

[11] Y. Wu, H. Ye, and H. guang Dong, “A Multi-objective optimization for batch chemical reaction Processes: The trade-off between economy and safety,” Chemical Engineering Science, vol. 265, p. 118231, 2023, https://doi.org/10.1016/j.ces.2022.118231.

[12] J. Cui, L. Ni, J. Jiang, Y. Pan, H. Wu, and Q. Chen, “Computational fluid dynamics simulation of thermal runaway reaction of styrene polymerization,” Organic Process Research Development, vol. 23, no. 3, pp. 389–396, 2019, https://doi.org/10.1021/acs.oprd.9b00005.

[13] J. Jiang, H. Wu, L. Ni, and M. Zou, “CFD simulation to study batch reactor thermal runaway behavior based on esterification reaction,” Process Safety and Environmental Protection, vol. 120, pp. 87–96, 2018, https://doi.org/10.1016/j.psep.2018.08.029.

[14] S. Jayanti, “Hydrodynamics of jet mixing in vessels,” Chemical Engineering Science, vol. 56, no. 1, pp. 193–210, 2001, https://doi.org/10.1016/S0009-2509(99)00588-6.

[15] A. W. Patwardhan, “CFD modeling of jet mixed tanks,” vol. 57, no. 8, pp. 1307–1318, 2002, https://doi.org/10.1016/S0009-2509(02)00049-0.

[16] H. D. Zughbi and M. A. Rakib, “Mixing in a fluid jet agitated tank: effects of jet angle and elevation and number of jets,” Chemical Engineering Science, vol. 59, no. 4, pp. 829–842, 2004, https://doi.org/10.1016/j.ces.2003.09.044

[17] K. L. Wasewar, “A design of jet mixed tank,” Chemical and Biochemical Engineering Quarterly, vol. 20, pp. 31–45, 2006.

[18] T. A. Oluwadero, C. Xuereb, J. Aubin, and M. Poux, “Effect of jet nozzle position on mixing time in large tanks,” Processes, vol. 11, no. 7, p. 2200, 2023, https://doi.org/10.3390/pr11072200.

[19] E. Bumrungthaichaichan, N. Jaiklom, A. Namkanisorn, and S. Wattananusorn, “On the computational fluid dynamics (CFD) analysis of the effect of jet nozzle angle on mixing time for various liquid heights,” Scientific Research and Essays, vol. 11, no. 4, pp. 42–56, 2016, https://doi.org/10.5897/SRE2015.6353.

[20] J. P. Torré, D. F. Fletcher, T. Lasuye, and C. Xuereb, “An experimental and CFD study of liquid jet injection into a partially baffled mixing vessel: A contribution to process safety by improving the quenching of runaway reactions,” Chemical Engineering Science, vol. 63, no. 4, pp. 924–942, 2008, https://doi.org/10.1016/j.ces.2007.10.031.

[21] A. Kummer and T. Varga, “What do we know already about reactor runaway? – A review,” Process Safety and Environmental Protection, vol. 147, pp. 460-476, 2021, https://doi.org/10.1016/j.psep.2020.09.059.

[22] J. Jiang, J. Jiang, Z. Wang, and Y. Pan, “Thermal runaway criterion for chemical reaction systems: A modified divergence method,” Journal of Loss Prevention in Process Industries, vol. 40, pp. 199–206, 2016, https://doi.org/10.1016/j.jlp.2015.12.024.

[23] S. Wang, X. Peng, L. Jiang, and B. Li, “Investigation on the reaction characteristics and influencing factors of thermal runaway of di-tert-butyl peroxide,” Process Safety and Environmental Protection, vol. 182, pp. 1185–1195, 2024, https://doi.org/10.1016/j.psep.2023.12.063.

[24] J. Jiang, Y. Chen, R. Zhou, and G. Mao, “CFD simulation study of thermal runaway inhibition for styrene polymerization by jet mixing,” Asia-Pacific Journal of Chemical Engineering, vol. 19, no. 6, pp. 1–18, 2024, https://doi.org/10.1002/apj.3129.

[25] A. Milewska, and E. J. Molga, “CFD simulation of accidents in industrial batch stirred tank reactors,” Chemical Engineering Science, vol. 62, no. 18-20, pp. 4920-4925, 2007, https://doi.org/10.1016/j.ces.2006.12.036.

[26] Y. T. Moon, H. Do Lee, and G. C. Park, “CFD simulation of steam jet-induced thermal mixing in subcooled water pool,” Nuclear Engineering and Design, vol. 239, no. 12, pp. 2849–2863, 2009, https://doi.org/10.1016/j.nucengdes.2009.08.003.

[27] J. P. Torré, D. F. Fletcher, T. Lasuye, and C. Xuereb, “Single and multiphase CFD approaches for modelling partially baffled stirred vessels: Comparison of experimental data with numerical predictions,” Chemical Engineering Science, vol. 62, no. 22, pp. 6246–6262, 2007, https://doi.org/10.1016/j.ces.2007.06.044.

[28] J. Zhu, T. Frerich, and A. S. Herrmann, “CFD modeling and validation of heat transfer inside an autoclave based on a mesh independency study,” Journal of Composite Material, vol. 55, no. 18, pp. 2469–2487, 2021, https://doi.org/10.1177/0021998320979043.

[29] ANSYS Inc., “Ansys Fluent Theory Guide, Release 2025 R2,” Canonsburg, PA: ANSYS Inc, 2025. [Online]. Available: http://www.ansys.com.

[30] J. Li et al., “CFD simulation on the transient process of coolant mixing phenomenon in reactor pressure vessel,” Annals Nuclear Energy, vol. 153, p. 108045, 2021, https://doi.org/10.1016/j.anucene.2020.108045.

[31] ANSYS Inc., “Ansys Fluent User’s Guide, Release 2025 R2,” Canonsburg, PA: ANSYS Inc., 2025. [Online]. Available: http://www.ansys.com

[32] D. Lu, H. Wang, J. Chen, and Q. Su, “Flow and heat transfer experiment in a RPV with direct safety injection,” Nuclear Engineering and Design, vol. 261, pp. 212–224, 2013, https://doi.org/10.1016/j.nucengdes.2013.03.022.

[33] R. K. Grenville and J. N. Tilton, “Jet mixing in tall tanks: Comparison of methods for predicting blend times,” Chemical Engineering Research and Design, vol. 89, no. 12, pp. 2501–2506, 2011, https://doi.org/10.1016/j.cherd.2011.05.014.

[34] A. Patwardhan and S. G. Gaikwad, “Mixing in tanks agitated by jets,” Chemical Engineering Research and Design, vol. 81, no. 2, pp. 211–220, 2003, https://doi.org/10.1205/026387603762878674.

[35] E. Bumrungthaichaichan, “A review on numerical consideration for computational fluid dynamics modeling of jet mixing tanks,” Korean Journal of Chemical Engineering, vol. 33, pp. 3050–3068, 2016, https://doi.org/10.1007/s11814-016-0236-x.

[36] B. Kütük and İ. H. Güzelbey, “Computational fluid dynamics analyses of a VVER-1200 nuclear reactor vessel for symmetric inlet, asymmetric inlet, and LOCA conditions,” International Journal of Pressure Vessels and Piping, vol. 187, p. 104165, 2020, https://doi.org/10.1016/j.ijpvp.2020.104165.

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Published

2026-09-30

How to Cite

[1]
N. Kamarrudin, M. I. Rosli, and M. S. Takriff, “Hydrodynamic mechanisms of jet mixing-induced cooling enhancement​ for reactor thermal stability using an experimental-CFD approach”, J. Mech. Eng. Sci., vol. 20, no. 3, p. In-Press, Sep. 2026, doi: 10.15282/jmes.20.3.2026.1.0878.