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Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles

Authorized Users Only
2020
Authors
Đuriš, Mihal
Arsenijević, Zorana
Garić Grulović, Radmila
Kaluđerović-Radoičić, Tatjana
Article (Published version)
,
Elsevier
Metadata
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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 particles
Source:
Particuology, 2020, 51, 184-192
Publisher:
  • Elsevier
Funding / projects:
  • The development of efficient chemical-engineering processes based on the transport phenomena research and process intensification principles (RS-172022)

DOI: 10.1016/j.partic.2019.11.002

ISSN: 1674-2001; 2210-4291

WoS: 000524974900019

Scopus: 2-s2.0-85077152147
[ Google Scholar ]
URI
https://cer.ihtm.bg.ac.rs/handle/123456789/3598
Collections
  • Radovi istraživača / Researchers' publications
Institution/Community
IHTM
TY  - 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 . .

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