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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)
Metadata
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Abstract
In this study, we applied the variational model to fluidization of small spherical particles. Fluidization experiments were carried out for spherical particles with 13 diameters between d(p) = 0.13 and 5.00 mm. We propose a generalized form of our variational model to predict the superficial velocity U and interphase drag coefficient beta by introducing an exponent n to describe the different dependences of the drag force F-d on fluid velocity for different particle sizes (different flow regimes). By comparing the predictions with the experimental results, we conclude that n=1 should be used for small particles (d(p) lt 1 mm) and n = 2 for larger particles (d(p) gt 1 mm). This conclusion is generalized by proposing n = 1 for particles with Re-t lt 160 and n = 2 for particles with Re-t gt 160. The average mean absolute error was 5.49% in calculating superficial velocity for different bed voidages using the modified variational model for all of the particles examined. The calcula...ted values of beta were compared with values of literature models for particles with d(p) lt 1.0 mm. The average mean absolute error of the modified variational model was 8.02% in calculating beta 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 Science Inc, New York
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

WoS: 000524974900019

Scopus: 2-s2.0-85077152147
[ Google Scholar ]
URI
http://TechnoRep.tmf.bg.ac.rs/handle/123456789/4462
Collections
  • Radovi istraživača / Researchers’ publications (TMF)
Institution/Community
Tehnološko-metalurški fakultet
TY  - JOUR
AU  - Đuriš, Mihal
AU  - Arsenijević, Zorana
AU  - Garić-Grulović, Radmila
AU  - Kaluđerović-Radoičić, Tatjana
PY  - 2020
UR  - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/4462
AB  - In this study, we applied the variational model to fluidization of small spherical particles. Fluidization experiments were carried out for spherical particles with 13 diameters between d(p) = 0.13 and 5.00 mm. We propose a generalized form of our variational model to predict the superficial velocity U and interphase drag coefficient beta by introducing an exponent n to describe the different dependences of the drag force F-d on fluid velocity for different particle sizes (different flow regimes). By comparing the predictions with the experimental results, we conclude that n=1 should be used for small particles (d(p)  lt  1 mm) and n = 2 for larger particles (d(p)  gt  1 mm). This conclusion is generalized by proposing n = 1 for particles with Re-t  lt  160 and n = 2 for particles with Re-t  gt  160. The average mean absolute error was 5.49% in calculating superficial velocity for different bed voidages using the modified variational model for all of the particles examined. The calculated values of beta were compared with values of literature models for particles with d(p)  lt  1.0 mm. The average mean absolute error of the modified variational model was 8.02% in calculating beta for different bed voidages for all of the particles examined.
PB  - Elsevier Science Inc, New York
T2  - Particuology
T1  - Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles
EP  - 192
SP  - 184
VL  - 51
DO  - 10.1016/j.partic.2019.11.002
UR  - conv_6092
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. Fluidization experiments were carried out for spherical particles with 13 diameters between d(p) = 0.13 and 5.00 mm. We propose a generalized form of our variational model to predict the superficial velocity U and interphase drag coefficient beta by introducing an exponent n to describe the different dependences of the drag force F-d on fluid velocity for different particle sizes (different flow regimes). By comparing the predictions with the experimental results, we conclude that n=1 should be used for small particles (d(p)  lt  1 mm) and n = 2 for larger particles (d(p)  gt  1 mm). This conclusion is generalized by proposing n = 1 for particles with Re-t  lt  160 and n = 2 for particles with Re-t  gt  160. The average mean absolute error was 5.49% in calculating superficial velocity for different bed voidages using the modified variational model for all of the particles examined. The calculated values of beta were compared with values of literature models for particles with d(p)  lt  1.0 mm. The average mean absolute error of the modified variational model was 8.02% in calculating beta for different bed voidages for all of the particles examined.",
publisher = "Elsevier Science Inc, New York",
journal = "Particuology",
title = "Prediction of interphase drag coefficient and bed expansion using a variational model for fluidization of small spherical particles",
pages = "192-184",
volume = "51",
doi = "10.1016/j.partic.2019.11.002",
url = "conv_6092"
}
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 Science Inc, New York., 51, 184-192.
https://doi.org/10.1016/j.partic.2019.11.002
conv_6092
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
conv_6092 .
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 .,
conv_6092 .

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