Heat transfer in a fixed bed Elliptical Cylindrical Reactor via heterogeneous model: effect of the shape of the particles on the porous bed
DOI:
https://doi.org/10.33448/rsd-v9i12.11404Keywords:
Heat; Elliptical cylindrical reactor; Porous bed; Heterogeneous model; Simulation.Abstract
The main purpose of this work is to study the heat transfer in an elliptical cylindrical reactor with a bed filled with particles. A heterogeneous mathematical model (two-phase model) was developed, applied to the solid and fluid phases separately. To solve the partial differential equations, the finite volume method, the fully implicit formulation, and the WUDS scheme for convective and diffusive terms were used. Results of temperature distribution in the fluid and solid phases, along the reactor, for particles with prolate spheroidal and spherical shape are presented and analyzed. It was found that the shape of the particle that fills the porous bed slightly affects the temperature distribution inside the reactor and that the dimensionless temperature of the fluid phase is slightly lower than that of the solid phase.
References
Curray, J. R., & Griffiths, J. C. (1955). Sphericity and roundness of quartz grains in sediments. Geological Society of America Bulletin, 66(9), 1075-1096. https://doi.org/10.1130/0016-7606(1955)66[1075:SAROQG]2.0.CO;2
Dixon, A. G., & Cresswell, D. L. (1979). Theoretical prediction of effective heat transfer parameters in packed beds. AIChE Journal, 25(4), 663-676. https://doi.org/10.1002/aic.690250413
Dullien, F. A. L. (1992). Porous Media: Fluid Transport and Pore Structure. 2 ed, San Diego, USA: Academic Press.
Freire, J. T. (1979). Transferência de calor em meios porosos. Tese de Doutorado. COPPE/UFRJ.
Happel, J., & Brenner, H. (2012). Low Reynolds number hydrodynamics: with special applications to particulate media (Vol. 1). Springer Science & Business Media.
McCabe, W.L., Smith, J.C, & Harriot, P. (1985). Unit Operations of Chemical Engineering. 2 ed, McGraw - Hill International Editions, 1985.
Mendes, N. (1997) Modelos para previsão da Transferência de Calor e de Umidade em Elementos Porosos de Edificações. Tese de Doutorado. Universidade Federal de Campina Grande. Obtido em: https://repositorio.ufsc.br/handle/123456789/77246
Miyauchi, T., Furusaki, S., Morooka, S., & Ikeda, Y. (1981). Transport phenomena and reaction in fluidized catalyst beds. In Advances in Chemical Engineering (Vol. 11, pp. 275-448). Academic Press. https://doi.org/10.1016/S0065-2377(08)60028-9
Oliveira, L. G., Swarnakar, R., & de Lima, A. G. (2008). Steady state model for heat transfer in a packed bed reactor of elliptic cylindrical shape. International Journal of Chemical Reactor Engineering, 6(1). https://doi.org/10.2202/1542-6580.1771
Pereira A. S., Shitsuka, D. M., Parreira, F. J., Shitsuka, R. (2018). Metodologia da pesquisa científica. Editora UAB/NTE/UFSM, Santa Maria/RS. Recuperado de https://repositorio.ufsm.br/bitstream/handle/1/15824/Lic_Computacao_MetodologiaPesquisa Cientifica.pdf?sequence=1.
Pereira, A. S., Moura da Silva, R., Machado, M. C. N., Azerêdo, L. P. M., Vilela, A. F., Andrade, R. O., & Barbosa de Lima, A. G. (2020). Heat Transfer in Fixed Bed Elliptic Cylindrical Reactor via Two-Phase Model. Defect and Diffusion Forum, 400, 45–50. https://doi.org/10.4028/www.scientific.net/ddf.400.45.
Pereira, A. S., Silva, R. M., Santos, R. S., Lima, A. G. B., Andrade, R. O., Lima, W. M. P. B., & de Lima, G. S. (2021). Heat Transfer in a Packed-Bed Elliptic Cylindrical Reactor: Theory, Heterogeneous Transient Modeling, and Applications. In Transport Processes and Separation Technologies (pp. 185-214). Springer, Cham. https://doi.org/10.1007/978-3-030-47856-8_7
Polyaev, V. M., Mozhaev, A. P., Galitseysky, B. M., & Lozhkin, A. L. (1996). A study of internal heat transfer in nonuniform porous structures. Experimental thermal and fluid science, 12(4), 426-432. https://doi.org/10.1016/0894-1777(95)00132-8
Silva Filho, A. A. (2013). Transporte de calor em reator cilíndrico elíptico de leito fixo recheado de partículas: modelagem, simulação e otimização. Tese de Doutorado, Universidade Federal de Campina Grande, 2013, 170 p. Obtido em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/2088
Silva, R. M. (2018). Reator cilíndrico - elíptico de leito fixo. Avaliações fenomenológica e geométrica transientes. Tese de Doutorado. Universidade Federal de Campina Grande. Obtido em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/7127
Silva, R. M., Lima, A. G. B., Pereira, A. S., Machado, M. C. N., & Santos, R. S. (2018). Unsteady state heat transfer in packed-bed elliptic cylindrical reactor: theory, advanced modeling and applications. In Transport Phenomena in Multiphase Systems (pp. 139-179). Springer, Cham. https://doi.org/10.1007/978-3-319-91062-8_5
Silva, R. M., Pereira, A. S., de Lima, A. G. B., Araújo, M. V., & Santos, R. S. (2019). Heat Transfer in Packed Bed Elliptic-Cylindrical Reactor: The Geometry Effect. Defect and Diffusion Forum, 391, 54–59. https://doi.org/10.4028/www.scientific.net/ddf.391.54
Wakao, N., Kaguei, S., & Funazkri, T. (1979). Effect of fluid dispersion coefficients on particle-to-fluid heat transfer coefficients in packed beds: correlation of Nusselt numbers. Chemical engineering science, 34(3), 325-336. https://doi.org/10.1016/0009-2509(79)85064-2
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Copyright (c) 2020 Antonildo Santos Pereira; Rodrigo Moura da Silva; Hortência Luma Fernandes Magalhães; Ricardo Soares Gomez; Túlio Rafael Nascimento Porto; Wanderson Magno Paiva Barbosa de Lima; Elisiane Santana de Lima; Stephane Katherine Barbosa Moura da Silva; Antonio Gilson Barbosa de Lima
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