Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles
Abstract
In this study, we applied the variational model to fluidization of small spherical particles. Fluidizationexperiments were carried out for spherical particles with 13 diameters between dp= 0.13 and 5.00 mm.We propose a generalized form of our variational model to predict the superficial velocity U and inter-phase drag coefficient ˇ by introducing an exponent n to describe the different dependences of the dragforce Fdon fluid velocity for different particle sizes (different flow regimes). By comparing the predictionswith the experimental results, we conclude that n=1 should be used for small particles (dp< 1 mm) andn = 2 for larger particles (dp> 1 mm). This conclusion is generalized by proposing n = 1 for particles withRet< 160 and n = 2 for particles with Ret> 160. The average mean absolute error was 5.49% in calculatingsuperficial velocity for different bed voidages using the modified variational model for all of the particlesexamined. The calculated values of ˇ were compared with va...lues of literature models for particles withdp< 1.0 mm. The average mean absolute error of the modified variational model was 8.02% in calculatingˇ for different bed voidages for all of the particles examined.
Keywords:
Calculus of variations / Isoperimetric problem / Bed expansion / Drag coefficient / Fluidization / Spherical particlesSource:
Particuology, 2020, 51, 184-192Publisher:
- Elsevier
Funding / projects:
DOI: 10.1016/j.partic.2019.11.002
ISSN: 1674-2001; 2210-4291
WoS: 000524974900019
Scopus: 2-s2.0-85077152147
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Institution/Community
IHTMTY - JOUR AU - Đuriš, Mihal AU - Arsenijević, Zorana AU - Garić Grulović, Radmila AU - Kaluđerović-Radoičić, Tatjana PY - 2020 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/3598 AB - In this study, we applied the variational model to fluidization of small spherical particles. Fluidizationexperiments were carried out for spherical particles with 13 diameters between dp= 0.13 and 5.00 mm.We propose a generalized form of our variational model to predict the superficial velocity U and inter-phase drag coefficient ˇ by introducing an exponent n to describe the different dependences of the dragforce Fdon fluid velocity for different particle sizes (different flow regimes). By comparing the predictionswith the experimental results, we conclude that n=1 should be used for small particles (dp< 1 mm) andn = 2 for larger particles (dp> 1 mm). This conclusion is generalized by proposing n = 1 for particles withRet< 160 and n = 2 for particles with Ret> 160. The average mean absolute error was 5.49% in calculatingsuperficial velocity for different bed voidages using the modified variational model for all of the particlesexamined. The calculated values of ˇ were compared with values of literature models for particles withdp< 1.0 mm. The average mean absolute error of the modified variational model was 8.02% in calculatingˇ for different bed voidages for all of the particles examined. PB - Elsevier T2 - Particuology T1 - Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles VL - 51 SP - 184 EP - 192 DO - 10.1016/j.partic.2019.11.002 ER -
@article{ author = "Đuriš, Mihal and Arsenijević, Zorana and Garić Grulović, Radmila and Kaluđerović-Radoičić, Tatjana", year = "2020", abstract = "In this study, we applied the variational model to fluidization of small spherical particles. Fluidizationexperiments were carried out for spherical particles with 13 diameters between dp= 0.13 and 5.00 mm.We propose a generalized form of our variational model to predict the superficial velocity U and inter-phase drag coefficient ˇ by introducing an exponent n to describe the different dependences of the dragforce Fdon fluid velocity for different particle sizes (different flow regimes). By comparing the predictionswith the experimental results, we conclude that n=1 should be used for small particles (dp< 1 mm) andn = 2 for larger particles (dp> 1 mm). This conclusion is generalized by proposing n = 1 for particles withRet< 160 and n = 2 for particles with Ret> 160. The average mean absolute error was 5.49% in calculatingsuperficial velocity for different bed voidages using the modified variational model for all of the particlesexamined. The calculated values of ˇ were compared with values of literature models for particles withdp< 1.0 mm. The average mean absolute error of the modified variational model was 8.02% in calculatingˇ for different bed voidages for all of the particles examined.", publisher = "Elsevier", journal = "Particuology", title = "Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles", volume = "51", pages = "184-192", doi = "10.1016/j.partic.2019.11.002" }
Đuriš, M., Arsenijević, Z., Garić Grulović, R.,& Kaluđerović-Radoičić, T.. (2020). Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles. in Particuology Elsevier., 51, 184-192. https://doi.org/10.1016/j.partic.2019.11.002
Đuriš M, Arsenijević Z, Garić Grulović R, Kaluđerović-Radoičić T. Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles. in Particuology. 2020;51:184-192. doi:10.1016/j.partic.2019.11.002 .
Đuriš, Mihal, Arsenijević, Zorana, Garić Grulović, Radmila, Kaluđerović-Radoičić, Tatjana, "Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles" in Particuology, 51 (2020):184-192, https://doi.org/10.1016/j.partic.2019.11.002 . .