Abstract
In this paper, the Discrete Element Method of simulation was used to study the catalytic granule size effect on the efficiency of a bed reactor for the ethylbenzene dehydrogenation reaction. The model constructed for the laboratory experiment was made of catalyst granules of lengths 3, 6 and 9 mm, and diameters 2.8, 3, and 3.2 mm. A detailed evaluation of the catalyst total surface area and porosity effect was conducted owing to the analysis of particles size effect on the packing. Different results were observed for a wide feed gas mixture rate. Calculations performed allowed to deduce dependences of the reaction product concentration, the pressure drops, and the reactor productivity for all the particle sizes investigated.
Funding source: Russian Foundation for Basic Research 10.13039/501100002261
Award Identifier / Grant number: 18-41-160005
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Author contributions: All the authors have accepted responsibility for theentire content of this submitted manuscript and approved submission.
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Research funding: The reported research was funded by Russian Foundation for Basic Research and the government of the Republic of Tatarstan of the Russian Federation, Grant No. 18-41-160005.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
1. Calis, HPA, Nijenhuis, J, Paikert, BC, Dautzenberg, FM, van den Bleek, CM. CFD modelling and experimental validation of pressure drop and flow profile in a novel structured catalytic reactor packing. Chemeng Sci 2001;56:1713–20. https://doi.org/10.1016/s0009-2509(00)00400-0.Search in Google Scholar
2. Freund, H, Zeiser, T, Huber, F, Klemm, E, Brenner, G, Durst, F, et al.. Numerical simulations of single phase reacting flows in randomly packed fixed-bed reactors and experimental validation. Chemeng Sci 2003;58:903–10. https://doi.org/10.1016/s0009-2509(02)00622-x.Search in Google Scholar
3. Giese, M, Rottschäfer, K, Vortmeyer, D. Measured and modeled superficial flow profiles in packed beds with liquid flow. AIChE J 1998;44:484–90. https://doi.org/10.1002/aic.690440225.Search in Google Scholar
4. Eppinger, T, Seidler, K, Kraume, M. DEM–CFD simulations of fixed bed reactors with small tube to particle diameter ratios. Chemeng J 2011;166:324–1. https://doi.org/10.1016/j.cej.2010.10.053.Search in Google Scholar
5. Bey, O, Eigenberger, G. Fluid flow through catalyst filled tubes. Chemeng Sci 1997;52:1365–76. https://doi.org/10.1016/s0009-2509(96)00509-x.Search in Google Scholar
6. Winterberg, M, Tsotsas, E, Krischke, A, Vortmeyer, D. A simple and coherent set of coefficients for modelling of heat and mass transport with and without chemical reaction in tubes filled with spheres. Chemeng Sci 2000;55:967–79. https://doi.org/10.1016/s0009-2509(99)00379-6.Search in Google Scholar
7. Cundall, PA. The measurement and analysis of accelerations in rock slopes [Ph.D. thesis]. Imperial College; 1971.Search in Google Scholar
8. Cundall, PA, Strack, OD. A discrete numerical model for granular assemblies. Geotechnique 1979;29:47–65. https://doi.org/10.1680/geot.1979.29.1.47.Search in Google Scholar
9. Theuerkauf, J, Witt, P, Schwesig, D. Analysis of particle porosity distribution in fixed beds using the discrete element method. Powder Technol 2006;165:92–9. https://doi.org/10.1016/j.powtec.2006.03.022.Search in Google Scholar
10. Yang, X, Gui, N, Tu, J, Jiang, S. 3D DEM simulation and analysis of void fraction distribution in a pebble bed high temperature reactor. Nucleng Des 2014;270:404–11. https://doi.org/10.1016/j.nucengdes.2014.02.010.Search in Google Scholar
11. Chen, L, Wang, C, Moscardini, M, Kamlah, M, Liu, S. A DEM-based heat transfer model for the evaluation of effective thermal conductivity of packed beds filled with stagnant fluid: thermal contact theory and numerical simulation. Int J Heat Mass Tran 2019;132:331–46. https://doi.org/10.1016/j.ijheatmasstransfer.2018.12.005.Search in Google Scholar
12. Gan, JQ, Yu, AB, Zhou, ZY. DEM simulation on the packing of fine ellipsoids. Chemeng Sci 2016;156:64–76. https://doi.org/10.1016/j.ces.2016.09.017.Search in Google Scholar
13. Kumar, P, Topin, F. Investigation of fluid flow properties in open cell foams: Darcy and weak inertia regimes. Chemeng Sci 2014;116:793–805. https://doi.org/10.1016/j.ces.2014.06.009.Search in Google Scholar
14. Taskin, ME, Troupel, A, Dixon, AG, Nijemeisland, M, Stitt, EH. Flow, transport, and reaction interactions for cylindrical particles with stronglyendothermic reactions. Indeng Chem Res 2010;49:9026–37. https://doi.org/10.1021/ie1003619.Search in Google Scholar
15. Pohar, A, Belavic, D, Dolanc, G, Hocevar, S. Modeling of methanol decomposition on Pt/CeO2/ZrO2 catalyst in a packed bed microreactor. J Power Sources 2014;256:80–7. https://doi.org/10.1016/j.jpowsour.2014.01.051.Search in Google Scholar
16. Atmakidis, T, Kenig, EY. Numerical analysis of mass transfer in packed-bed reactors with irregular particle arrangements. Chemeng Sci 2012;81:77–83. https://doi.org/10.1016/j.ces.2012.06.048.Search in Google Scholar
17. Atmakidis, T, Kenig, EY. Numerical analysis of residence time distribution in packed bed reactors with irregular particle arrangements. Chem Prod Process Model 2015;10:17–26. https://doi.org/10.1515/cppm-2014-0021.Search in Google Scholar
18. Yang, Y, Xiang, Y, Li, Y, Chu, G, Zou, H, Arowo, M, et al.. 3D CFD modelling and optimization of single‐phase flow in rotating packed beds. Can J Chemeng 2015;93:1138–48. https://doi.org/10.1002/cjce.22183.Search in Google Scholar
19. Shi, X, Xiang, Y, Wen, LX, Chen, JF. CFD analysis of liquid phase flow in a rotating packed bed reactor. Chemeng J 2013;228:1040–9. https://doi.org/10.1016/j.cej.2013.05.081.Search in Google Scholar
20. Guo, K, Guo, F, Feng, Y, Chen, J, Zheng, C, Gardner, NC. Synchronous visual and RTD study on liquid flow in rotating packed-bed contactor. Chemeng Sci 2000;55:1699–706. https://doi.org/10.1016/s0009-2509(99)00369-3.Search in Google Scholar
21. Dixon, AG, Nijemeisland, M, Stitt, EH. Systematic mesh development for 3D CFD simulation of fixed beds: contact points study. Comput Chemeng 2013;48:135–53. https://doi.org/10.1016/j.compchemeng.2012.08.011.Search in Google Scholar
22. Nijemeisland, M, Dixon, AG. Comparison of CFD simulations to experiment for convective heat transfer in a gas–solid fixed bed. Chemeng J 2001;82:231–46. https://doi.org/10.1016/s1385-8947(00)00360-0.Search in Google Scholar
23. Guardo, A, Coussirat, M, Larrayoz, MA, Recasens, F, Egusquiza, E. CFD flow and heat transfer in nonregular packings for fixed bed equipment design. Indeng Chem Res 2004;43:7049–56. https://doi.org/10.1021/ie034229+.10.1021/ie034229+Search in Google Scholar
24. Guardo, A, Coussirat, M, Recasens, F, Larrayoz, MA, Escaler, X. CFD study on particle-to-fluid heat transfer in fixed bed reactors: convective heat transfer at low and high pressure. Chemeng Sci 2006;61:4341–53. https://doi.org/10.1016/j.ces.2006.02.011.Search in Google Scholar
25. Ookawara, S, Kuroki, M, Street, D, Ogawa, K. High-fidelity DEM-CFD modeling of packed bed reactors for process intensification. In: Proceedings of European Congress Of Chemicalengineering (ECCE-6). Copenhagen; 2007. 16–20 pp.Search in Google Scholar
26. Kuroki, M, Ookawara, S, Street, D, Ogawa, K. High-fidelity CFD modeling of particle-to-fluid heat transfer in packed bed reactors. In: Proceedings of European Congress of Chemicalengineering (ECCE-6). Copenhagen; 2007. 16–21 pp.Search in Google Scholar
27. Dixon, AG, Nijemeisland, M, Stitt, EH. Packed tubular reactor modeling and catalyst design using computational fluid dynamics. Adv Chemeng 2006;31:307–89. https://doi.org/10.1016/s0065-2377(06)31005-8.Search in Google Scholar
28. Wehinger, GD. Particle-resolved CFD simulations of catalytic flow reactors. Berlin: Technische Universitaet Berlin; 2016.Search in Google Scholar
29. Partopour, B, Dixon, AG. Computationally efficient incorporation of microkinetics into resolved-particle CFD simulations of fixed-bed reactors. Comput Chemeng 2016;88:126–34. https://doi.org/10.1016/j.compchemeng.2016.02.015.Search in Google Scholar
30. Fischedick, T, Kind, M, Dietrich, B. Radial two-phase thermal conductivity of ceramic sponges up to high temperatures–experimental results and correlation. Int J Therm Sci 2017;114:98–113. https://doi.org/10.1016/j.ijthermalsci.2016.11.020.Search in Google Scholar
31. Sinn, C, Pesch, GR, Thöming, J, Kiewidt, L. Coupled conjugate heat transfer and heat production in open-cell ceramic foams investigated using CFD. Int J Heat Mass Tran 2019;139:600–12. https://doi.org/10.1016/j.ijheatmasstransfer.2019.05.042.Search in Google Scholar
32. Kiewidt, L, Thöming, J. Multiscale modeling of monolithic sponges as catalyst carrier for the methanation of carbon dioxide. Chemeng Sci X 2019;2:100016. https://doi.org/10.1016/j.cesx.2019.100016.Search in Google Scholar
33. Dong, Y, Korup, O, Gerdts, J, Cuenya, BR, Horn, R. Microtomography-based CFD modeling of a fixed-bed reactor with an open-cell foam monolith and experimental verification by reactor profile measurements. Chemeng J 2018;353:176–88. https://doi.org/10.1016/j.cej.2018.07.075.Search in Google Scholar
34. Hettel, M, Daymo, E, Deutschmann, O. 3D modeling of a CPOX-reformer including detailed chemistry and radiation effects with DUO. Comput Chemeng 2018;109:166–78. https://doi.org/10.1016/j.compchemeng.2017.11.005.Search in Google Scholar
35. Sinn, C, Kranz, F, Wentrup, J, Thöming, J, Wehinger, GD, Pesch, GR. CFD Simulations of radiative heat transport in open-cell foam catalytic reactors. Catalysts 2020;10:716. https://doi.org/10.3390/catal10060716.Search in Google Scholar
36. Paek, JW, Kang, BH, Kim, SY, Hyun, JM. Effective thermal conductivity and permeability of aluminum foam materials. Int J Thermophys 2000;21:453–64. https://doi.org/10.1023/a:1006643815323.10.1023/A:1006643815323Search in Google Scholar
37. Partopour, B, Dixon, AG. Integrated multiscale modeling of fixed bed reactors: studying the reactor under dynamic reaction conditions. Chemeng J 2019;377:119738. https://doi.org/10.1016/j.cej.2018.08.124.Search in Google Scholar
38. Yang, X, Wang, S, Zhang, K, He, Y. Evaluation of coke deposition in catalyst particles using particle-resolved CFD model. Chemeng Sci 2021;229:116122. https://doi.org/10.1016/j.ces.2020.116122.Search in Google Scholar
39. Zhu, L-T, Liu, Y-X, Luo, Z-H. Anenhanced correlation for gas-particle heat and mass transfer in packed and fluidized bed reactors. Chemeng J 2019;374:531–44. https://doi.org/10.1016/j.cej.2019.05.194.Search in Google Scholar
40. Stitt, H, Marigo, M, Wilkinson, S, Dixon, T. How good is your model? Johnson Matthey Technol Rev 2015;59:74–89. https://doi.org/10.1595/205651315x686804.Search in Google Scholar
41. Dong, Y, Sosna, B, Korup, O, Rosowski, F, Horn, R. Investigation of radial heat transfer in a fixed-bed reactor: CFD simulations and profile measurements. Chemeng J 2017;317:204–14. https://doi.org/10.1016/j.cej.2017.02.063.Search in Google Scholar
42. Dixon, AG, Walls, G, Stanness, H, Nijemeisland, M, Stitt, EH. Experimental validation of high Reynolds number CFD simulations of heat transfer in a pilot-scale fixed bed tube. Chemeng J 2012;200:344–56. https://doi.org/10.1016/j.cej.2012.06.065.Search in Google Scholar
43. Nijemeisland, M, Dixon, AG, Stitt, EH. Catalyst design by CFD for heat transfer and reaction in steam reforming. Chemeng Sci 2004;59:5185–91. https://doi.org/10.1016/j.ces.2004.07.088.Search in Google Scholar
44. Tsory, T, Ben-Jacob, N, Brosh, T, Levy, A. Thermal DEM–CFD modeling and simulation of heat transfer through packed bed. Powder Technol 2013;244:52–60. https://doi.org/10.1016/j.powtec.2013.04.013.Search in Google Scholar
45. Das, S, Deen, NG, Kuipers, JAM. Multiscale modeling of fixed-bed reactors with porous (open-cell foam) non-spherical particles: hydrodynamics. Chemeng J 2018;334:741–59. https://doi.org/10.1016/j.cej.2017.10.047.Search in Google Scholar
46. Bu, SS, Yang, J, Zhou, M, Li, SY, Wang, QW, Guo, ZX. On contact point modifications for forced convective heat transfer analysis in a structured packed bed of spheres. Nucleng Des 2014;270:21–33. https://doi.org/10.1016/j.nucengdes.2014.01.001.Search in Google Scholar
47. Zhang, W, Thompson, KE, Reed, AH, Beenken, L. Relationship between packing structure and porosity in fixed beds of equilateral cylindrical particles. Chemeng Sci 2006;61:8060–74. https://doi.org/10.1016/j.ces.2006.09.036.Search in Google Scholar
48. Tao, H, Jin, B, Zhong, W, Wang, X, Ren, B, Zhang, Y, et al.. Discrete element method modeling of non-spherical granular flow in rectangular hopper. Chemeng Process: Proc Intens 2010;49:151–8. https://doi.org/10.1016/j.cep.2010.01.006.Search in Google Scholar
49. Hosseininia, ES. Investigating the micromechanical evolutions within inherently anisotropic granular materials using discrete element method. Granul Matter 2012;14:483–503. https://doi.org/10.1007/s10035-012-0340-5.Search in Google Scholar
50. Oda, M, Kazama, H, Konishi, J. Effects of induced anisotropy on the development of shear bands in granular materials. Mech Mater 1998;28:103–11. https://doi.org/10.1016/s0167-6636(97)00018-5.Search in Google Scholar
51. Golshan, S, Sotudeh-Gharebagh, R, Zarghami, R, Mostoufi, N, Blais, B, Kuipers, JAM. Review and implementation of CFD-DEM applied to chemical process systems. Chemeng Sci 2020;221:115646. https://doi.org/10.1016/j.ces.2020.115646.Search in Google Scholar
52. Dixon, AG, Nijemeisland, M. CFD as a design tool for fixed-bed reactors. Indeng Chem Res 2001;40:5246–4. https://doi.org/10.1021/ie001035a.Search in Google Scholar
53. Romkes, SJP, Dautzenberg, FM, van den Bleek, CM, Calis, HPA. CFD modelling and experimental validation of particle-to-fluid mass and heat transfer in a packed bed at very low channel to particle diameter ratio. Chemeng J 2003;96:3–13. https://doi.org/10.1016/j.cej.2003.08.026.Search in Google Scholar
54. Dixon, AG. Local transport and reaction rates in a fixed bed reactor tube:endothermic steam methane reforming. Chemeng Sci 2017;168:156–77. https://doi.org/10.1016/j.ces.2017.04.039.Search in Google Scholar
55. Benyahia, F, O’Neill, KE. Enhanced voidage correlations for packed beds of various particle shapes and sizes. Part Sci Technol 2005;23:169–77. https://doi.org/10.1080/02726350590922242.Search in Google Scholar
56. de Klerk, A. Voidage variation in packed beds at small column to particle diameter ratio. AIChE J 2003;49:2022–9. https://doi.org/10.1002/aic.690490812.Search in Google Scholar
57. Mueller, GE. Numerically packing spheres in cylinders. Powder Technol 2005;159:105–10. https://doi.org/10.1016/j.powtec.2005.06.002.Search in Google Scholar
58. Zhang, M, Dong, H, Geng, Z. Computational study of flow and heat transfer infixed beds with cylindrical particles for low tube to particle diameter ratios. Chemeng Res Des 2018;132:149–61. https://doi.org/10.1016/j.cherd.2018.01.006.Search in Google Scholar
59. Ergun, S. Fluid flow through packed columns. Chemeng Prog 1952;48:89–94.Search in Google Scholar
60. Eisfeld, B, Schnitzlein, K. The influence of confining walls on the pressure drop in packed beds. Chemeng Sci 2001;56:4321–9. https://doi.org/10.1016/s0009-2509(00)00533-9.Search in Google Scholar
61. Nemec, D, Levec, J. Flow through packed bed reactors: 1. Single-phase flow. Chemeng Sci 2005;60:6947–57. https://doi.org/10.1016/j.ces.2005.05.068.Search in Google Scholar
© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Research Articles
- CFD simulation of the ethylbenzene dehydrogenation reaction in the fixed bed reactor with a cylindrical catalyst of various sizes
- Energy and exergy optimization of oxidative steam reforming of acetone–butanol–ethanol–water mixture as a renewable source for H2 production via thermodynamic modeling
- A novel LSSVM-L Hammerstein model structure for system identification and nonlinear model predictive control of CSTR servo and regulatory control
- Environmental and thermodynamic performance assessment of biomass gasification process for hydrogen production in a downdraft gasifier
- Modeling of lime production process using artificial neural network
- Control of TITO processes using sliding mode controller tuned by ITAE minimizing criterion based Nelder-Mead algorithm
- To the problem of forming the equation system for pressure swing adsorption mathematical model
- Review
- A comparative study of various Smith predictor configurations for industrial delay processes
Articles in the same Issue
- Frontmatter
- Research Articles
- CFD simulation of the ethylbenzene dehydrogenation reaction in the fixed bed reactor with a cylindrical catalyst of various sizes
- Energy and exergy optimization of oxidative steam reforming of acetone–butanol–ethanol–water mixture as a renewable source for H2 production via thermodynamic modeling
- A novel LSSVM-L Hammerstein model structure for system identification and nonlinear model predictive control of CSTR servo and regulatory control
- Environmental and thermodynamic performance assessment of biomass gasification process for hydrogen production in a downdraft gasifier
- Modeling of lime production process using artificial neural network
- Control of TITO processes using sliding mode controller tuned by ITAE minimizing criterion based Nelder-Mead algorithm
- To the problem of forming the equation system for pressure swing adsorption mathematical model
- Review
- A comparative study of various Smith predictor configurations for industrial delay processes