Startseite Reinterpretation of the Geldart A powder classification based on Eulerian–Eulerian CFD simulation
Artikel
Lizenziert
Nicht lizenziert Erfordert eine Authentifizierung

Reinterpretation of the Geldart A powder classification based on Eulerian–Eulerian CFD simulation

  • Janani Kannan und Priya C. Sande ORCID logo EMAIL logo
Veröffentlicht/Copyright: 18. Juli 2022
Veröffentlichen auch Sie bei De Gruyter Brill

Abstract

Geldart classified powders into four categories and assigned each category its own unique characteristic. Geldart A particles, being easily aeratable, show a unique feature of ‘Homogenous expansion’ before bubbling. In this work, an additional feature for the Geldart chart is proposed which adds significant utility for the processing of Geldart A particles. CFD was used to characterize the entire Geldart A region of the Geldart chart based on detailed fluidization behavior. For this, Eulerian–Eulerian Two-fluid model (TFM) simulations were conducted for 25 particle systems across the entire span of the Geldart A region. The simulations (Solid volume fraction (SVF) contours) of bed evolution, taken before the appearance of multiple bubbles, were analyzed in detail. The particle systems were then sub-categorized into Red (5% average bed expansion), Orange (12.5% average bed expansion), and Green (30% average bed expansion) sub-types. The sub-types were plotted on Geldart chart, and for the first time a continuum heat map was generated, from which the ‘level of fluidizability’ of all Geldart A powders can be conveniently gaged. The map can be used for a more informed choice of powder for various industrial applications. Also, the A/B boundary proposed by Verloop was found to be a better fit for our proposed continuum when compared to the original Geldart A/B boundary. The 2D Simulation results performed in this work, found adequate validation against experimental findings in literature. Further, fine mesh 2D simulation results compared well with 3D simulations for dense bed, and were thereby deemed adequate for revealing dense bed behavior before onset of multiple bubbles.


Corresponding author: Priya C. Sande, Department of Chemical Engineering, Birla Institute of Technology and Science (Pilani campus), Pilani 333031, Rajasthan, India, Phone: +91-01596-515812, E-mail:

Acknowledgments

We are grateful to Department of Chemical Engineering, Birla Institute of Technology and Science, Pilani, Pilani campus, for providing the computational facilities. We thank our department colleagues and Computer Lab staff for their support in completing this work.

  1. Author contributions: Both authors have accepted responsibility for the entire content of this submitted manuscript and have approved submission.

  2. Research funding: None.

  3. Conflict of interest statement: The authors declare no conflict of interest regarding this article.

References

Abrahamsen, A. R., and D. Geldart. 1980. “Behaviour of Gas-Fluidized Beds of Fine Powders Part I. Homogeneous Expansion.” Powder Technology 26 (1): 35–46, https://doi.org/10.1016/0032-5910(80)85005-4.Suche in Google Scholar

Amblard, B., R. Singh, E. Gbordzoe, and L. Raynal. 2017. “CFD Modeling of the Coke Combustion in an Industrial FCC Regenerator.” Chemical Engineering Science 170: 731–42, https://doi.org/10.1016/j.ces.2016.12.055.Suche in Google Scholar

Baharanchi, A. A., S. Gokaltun, and G. Dulikravich. 2015. “Performance Improvement of Existing Drag Models in Two-Fluid Modeling of Gas-Solid Flows Using a PR-DNS Based Drag Model.” Powder Technology 286, 257–68. Elsevier.10.1016/j.powtec.2015.07.001Suche in Google Scholar

Beetstra, R., M. A. van der Hoef, and J. A. M. Kuipers. 2007. “Numerical Study of Segregation Using a New Drag Force Correlation for Polydisperse Systems Derived from Lattice-Boltzmann Simulations.” Chemical Engineering Science 62 (1–2): 246–55, https://doi.org/10.1016/j.ces.2006.08.054.Suche in Google Scholar

Boateng, A. A., L. T. Fan, W. P. Walawender, and C. S. Chee. 1991. “Morphological Development of Rice-Hull-Derived Charcoal in a Fluidized-Bed Reactor.” Fuel 70 (8): 995–1000, https://doi.org/10.1016/0016-2361(91)90057-h.Suche in Google Scholar

Breault, R. W., C. J. Ludlow, and P. C. Yue. 2005. “Cluster Particle Number and Granular Temperature for Cork Particles at the Wall in the Riser of a CFB.” Powder Technology 149 (2): 68–77, https://doi.org/10.1016/j.powtec.2004.11.003.Suche in Google Scholar

Baerns, M. 1967. Proceedings of the International Symposium on Fluidization, Eindhoven, 403. Amsterdam: Netherlands Univ. Press.Suche in Google Scholar

Chaouki, J., C. Chavarie, D. Klvana, and G. Pajonk. 1985. “Effect of Interparticle Forces on the Hydrodynamic Behaviour of Fluidized Aerogels.” Powder Technology 43 (2): 117–25, https://doi.org/10.1016/0032-5910(85)87003-0.Suche in Google Scholar

Davies, P. A., G. R. Dunstan, D. F. Heaney, and T. J. Mueller. 2004. “Comparison of Master Alloy and Pre-alloyed 316L Stainless Steel Powders for Metal Injection Molding (MIM).” In PM2TEC 2004 World Congress, MPIF, Chicago, IL.Suche in Google Scholar

Davies, L., and J. F. Richardson. 1966. “Gas Interchange between Bubbles and the Continuous Phase in a Fluidised Bed.” Transactions of the Institution of Chemical Engineers (44).Suche in Google Scholar

Donsi, G., and L. Massimilla. 1973. “Bubble-Free Expansion of Gas-Fluidized Beds of Fine Particles.” AICHE 19 (6): 1104–10, https://doi.org/10.1002/aic.690190604.Suche in Google Scholar

Ergun, S., and A. A. Orning. 1949. “Fluid Flow through Randomly Packed Columns and Fluidized Beds.” Industrial and Engineering Chemistry 41 (6): 1179–84. American Chemical Society, https://doi.org/10.1021/ie50474a011.Suche in Google Scholar

Espin, M. J., M. A. S. Quintanilla, and J. M. Valverde. 2017. “Magnetic Stabilization of Fluidized Beds: Effect of Magnetic Field Orientation.” Chemical Engineering Journal 313: 1335–45, https://doi.org/10.1016/j.cej.2016.11.023.Suche in Google Scholar

Gary, J. H., and G. E. Handwerk. 2001. Petroleum Refining: Technology and Economics. Boca Raton: CRC Press.10.1201/9780824745172Suche in Google Scholar

Geldart, D. 1973. “Types of Gas Fluidization.” Powder Technology 7 (5): 285–92, https://doi.org/10.1016/0032-5910(73)80037-3.Suche in Google Scholar

Geldart, D., and A. C. Y. Wong. 1984. “Fluidization of Powders Showing Degrees of Cohesiveness – I. Bed Expansion.” Chemical Engineering Science 39: 1481–8.10.1016/0009-2509(84)80006-8Suche in Google Scholar

Gidaspow 1994. Multiphase Flow and Fluidization: Continuum and Kinetic Theory Description. New York: Academic Press.Suche in Google Scholar

Gidaspow, D., R. Bezburuah, and J. Ding. 1991. Hydrodynamics of Circulating Fluidized Beds: Kinetic Theory Approach. Chicago, IL, United States: Department of Chemical Engineering, Illinois Institute of Tech.Suche in Google Scholar

Girimonte, R., and B. Formisani. 2009. “The Minimum Bubbling Velocity of Fluidized Beds Operating at High Temperature.” Powder Technology 189 (1): 74–81, https://doi.org/10.1016/j.powtec.2008.06.006.Suche in Google Scholar

Guo, Q., S. Meng, Y. Zhao, L. Ma, D. Wang, M. Ye, W. Yang, and Z. Liu. 2018. “Experimental Verification of Solid-like and Fluid-like States in the Homogeneous Fluidization Regime of Geldart A Particles.” Industrial & Engineering Chemistry Research 57 (7): 2670–86. American Chemical Society, https://doi.org/10.1021/acs.iecr.7b04559.Suche in Google Scholar

de Groot, J. H. 1967. “Scaling up of Gas-Fluidised Bed Reactors.” In Proceedings of International Symposium on Fluidization, Amsterdam, 348. Eindhoven: Netherlands University Press.Suche in Google Scholar

Jajcevic, D., E. Siegmann, C. Radeke, and J. G. Khinast. 2013. “Large-Scale CFD–DEM Simulations of Fluidized Granular Systems.” Chemical Engineering Science 98: 298–310, https://doi.org/10.1016/j.ces.2013.05.014.Suche in Google Scholar

Kia, S. A., and J. Aminian. 2017. “Hydrodynamic Modeling Strategy for Dense to Dilute Gas–Solid Fluidized Beds.” Particuology 31: 105–16, https://doi.org/10.1016/j.partic.2016.06.004.Suche in Google Scholar

Kobayashi, T., T. Tanaka, N. Shimada, and T. Kawaguchi. 2013. “DEM–CFD Analysis of Fluidization Behavior of Geldart Group A Particles Using a Dynamic Adhesion Force Model.” Powder Technology 248: 143–52, https://doi.org/10.1016/j.powtec.2013.02.028.Suche in Google Scholar

Kuipers, J. A. M., H. Tammes, W. Prins, and W. P. M. van Swaaij. 1992. “Experimental and Theoretical Porosity Profiles in a Two-Dimensional Gas-Fluidized Bed with a Central Jet.” Powder Technology 71 (1): 87–99, https://doi.org/10.1016/0032-5910(92)88008-6.Suche in Google Scholar

Lettieri, P., D. Newton, and J. G. Yates. 2002. “Homogeneous Bed Expansion of FCC Catalysts, Influence of Temperature on the Parameters of the Richardson-Zaki Equation.” Powder Technology 123: 221–31, doi:https://doi.org/10.1016/s0032-5910(01)00463-6.Suche in Google Scholar

Li, J., T. Nakazato, and K. Kato. 2004. “Effect of Cohesive Powders on the Elutriation of Particles from a Fluid Bed.” Chemical Engineering Science 59 (13): 2777–82, https://doi.org/10.1016/j.ces.2004.02.021.Suche in Google Scholar

Lun, C. K. K., S. B. Savage, D. J. Jeffrey, and N. Chepurniy. 1984. “Kinetic Theories for Granular Flow: Inelastic Particles in Couette Flow and Slightly Inelastic Particles in a General Flowfield.” Journal of Fluid Mechanics 140: 223–56. Cambridge University Press, https://doi.org/10.1017/s0022112084000586.Suche in Google Scholar

di Maio, F. P., and A. di Renzo. 2007. “DEM-CFD Simulations of Fluidized Beds with Application in Mixing Dynamics.” KONA Powder and Particle Journal 25: 205–16, https://doi.org/10.14356/kona.2007018.Suche in Google Scholar

Massimilla, L., G. Donsi, and C. Zucchini. 1972. “The Structure of Bubble-free Gas Fluidized Beds of Fine Fluid Cracking Catalyst Particles.” Chemical Engineering Science 27. Pergamon Press, https://doi.org/10.1016/0009-2509(72)87059-3.Suche in Google Scholar

Nikku, M., A. Daikeler, A. Stroh, and K. Myöhänen. 2019. “Comparison of Solid Phase Closure Models in Eulerian-Eulerian Simulations of a Circulating Fluidized Bed Riser.” Chemical Engineering Science 195: 39–50, https://doi.org/10.1016/j.ces.2018.11.031.Suche in Google Scholar

Nowakowski, A. F., and M. J. Doby. 2008. “The Numerical Modelling of the Flow in Hydrocyclones.” KONA Powder and Particle Journal 26: 66–80, https://doi.org/10.14356/kona.2008008.Suche in Google Scholar

Ogawa, S., A. Umemura, and N. Oshima. 1980. “On the Equations of Fully Fluidized Granular Materials.” Zeitschrift für angewandte Mathematik und Physik ZAMP 31 (4): 483–93, https://doi.org/10.1007/bf01590859.Suche in Google Scholar

Ostermeier, P., S. DeYoung, A. Vandersickel, S. Gleis, and H. Spliethoff. 2019. “Comprehensive Investigation and Comparison of TFM, DenseDPM and CFD-DEM for Dense Fluidized Beds.” Chemical Engineering Science 196: 291–309, https://doi.org/10.1016/j.ces.2018.11.007.Suche in Google Scholar

Patankar, S. 1980. Numerical Heat Transfer and Fluid Flow. Boca Raton: CRC Press.Suche in Google Scholar

Sánchez Quintanilla, M. Á., M. J. Espin, and J. M. Valverde. 2014. “Effect of Magnetic Field Orientation on Fluidized Beds of Magnetic Particles: Theory and Experiment.” Particuology 12 (1): 54–63. Elsevier, https://doi.org/10.1016/j.partic.2013.03.002.Suche in Google Scholar

Sande, P. C., and S. Ray. 2014. “Mesh Size Effect on CFD Simulation of Gas-Fluidized Geldart A Particles.” Powder Technology 264: 43–53, https://doi.org/10.1016/j.powtec.2014.05.019.Suche in Google Scholar

Sande, P. C., and S. Ray. 2016. “Fine Mesh Computational Fluid Dynamics Study on Gas-Fluidization of Geldart A Particles: Homogeneous to Bubbling Bed.” Industrial & Engineering Chemistry Research 55 (9): 2623–33. American Chemical Society, https://doi.org/10.1021/acs.iecr.5b03565.Suche in Google Scholar

Santana, D., J. M. Rodrıguez, and A. Macıas-Machın. 1999. “Modelling Fluidized Bed Elutriation of Fine Particles.” Powder Technology 106: 110–8, doi:https://doi.org/10.1016/s0032-5910(99)00057-1.Suche in Google Scholar

Sidorenko, I., and M. J. Rhodes. 2004. “Influence of Pressure on Fluidization Properties.” Powder Technology 141 (1): 137–54, https://doi.org/10.1016/j.powtec.2004.02.019.Suche in Google Scholar

Syamlal, M., W. Rogers, and T. J. O’Brien. 1993. MFIX Documentation: Theory Guide, Technical Note. Springfield: National Technical Information Service.10.2172/10145548Suche in Google Scholar

Tan, L., I. Roghair, and M. van Sint Annaland. 2017. “Discrete Particle Simulations of Bubble-To-Emulsion Phase Mass Transfer in Single-Bubble Fluidized Beds.” Particuology 33: 80–90, https://doi.org/10.1016/j.partic.2016.09.008.Suche in Google Scholar

Tsuji, Y. 1993. “Discrete Particle Simulation of Gas-Solid Flows (From Dilute to Dense Flows).” KONA Powder and Particle Journal 11: 57–68, https://doi.org/10.14356/kona.1993010.Suche in Google Scholar

Valverde, J. M., A. Castellanos, P. Mills, and M. A. S. Quintanilla. 2003a. “Effect of Particle Size and Interparticle Force on the Fluidization Behavior of Gas-Fluidized Beds.” Physical Review E 67 (5): 051305, https://doi.org/10.1103/physreve.67.051305.Suche in Google Scholar

Valverde, J. M., M. A. S. Quintanilla, A. Castellanos, and P. Mills. 2003b. “Experimental Study on the Dynamics of Gas-Fluidized Beds.” Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 67 (1): 5, https://doi.org/10.1103/physreve.67.016303.Suche in Google Scholar

Valverde, J. M., A. Castellanos, M. A. S. Quintanilla, and F. A. Gilabert. 2008. “Effect of Inclination on Gas-Fluidized Beds of Fine Cohesive Powders.” Powder Technology 182 (3): 398–405, https://doi.org/10.1016/j.powtec.2007.07.004.Suche in Google Scholar

Valverde, J. M., and A. Castellanos. 2007. “Types of Gas Fluidization of Cohesive Granular Materials.” Physical Review E 75 (3): 031306, https://doi.org/10.1103/physreve.75.031306.Suche in Google Scholar

Verloop, J., and P. M. Heertjes. 1970. “Shock Waves as a Criterion for the Transition from Homogeneous to Heterogeneous Fluidization.” Chemical Engineering Science 25 (5): 825–32, https://doi.org/10.1016/0009-2509(70)85117-x.Suche in Google Scholar

Wang, J., M. A. van der Hoef, and J. A. M. Kuipers. 2009. “Why the Two-Fluid Model Fails to Predict the Bed Expansion Characteristics of Geldart A Particles in Gas-Fluidized Beds: A Tentative Answer.” Chemical Engineering Science 64 (3): 622–5.10.1016/j.ces.2008.09.028Suche in Google Scholar

Wang, J., M. A. van der Hoef, and J. A. M. Kuipers. 2010. “CFD Study of the Minimum Bubbling Velocity of Geldart A Particles in Gas-Fluidized Beds.” Chemical Engineering Science 65 (12): 3772–85, https://doi.org/10.1016/j.ces.2010.03.023.Suche in Google Scholar

Wang, J., M. Hoef, and H. Kuipers. 2011. “The Role of Scale Resolution versus Inter-particle Cohesive Forces in Two-Fluid Modeling of Bubbling Fluidization of Geldart A Particles.” Chemical Engineering Science 66: 4229–40, https://doi.org/10.1016/j.ces.2011.06.004.Suche in Google Scholar

Wen, C. Y., and Y. H. Yu. 1966. “Mechanics of Fluidization.” The Chemical Engineering Progress Symposium Series 62: 100–11.Suche in Google Scholar

Yang, W. -C. 2007. “Modification and Re-interpretation of Geldart’s Classification of Powders.” Powder Technology 171 (2): 69–74, https://doi.org/10.1016/j.powtec.2006.08.024.Suche in Google Scholar

Ye, M., M. A. van der Hoef, and J. A. M. Kuipers. 2005. “The Effects of Particle and Gas Properties on the Fluidization of Geldart A Particles.” Chemical Engineering Science 60 (16): 4567–80, https://doi.org/10.1016/j.ces.2005.03.017.Suche in Google Scholar

Zhang, Y., C. Lu, and M. Shi. 2009. “A New Homogeneity Index to Characterize the Fluidization Quality for Non-slugging Fluidized Beds of Geldart A Particles.” Powder Technology 191 (1): 182–7, https://doi.org/10.1016/j.powtec.2008.10.005.Suche in Google Scholar


Supplementary Material

Tables S1–S4 in supporting information doc. provide the modeling equations used in this study including all the empirical models used as closures (Solids pressure, Drag law, stress tensor). The online version of this article offers supplementary material (https://doi.org/10.1515/ijcre-2022-0039).


Received: 2022-02-24
Accepted: 2022-07-02
Published Online: 2022-07-18

© 2022 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 6.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/ijcre-2022-0039/html?lang=de&srsltid=AfmBOopaxz0d_IP7AZwRD33ymJP9pTYnupqUwwFM9XdJxql9sFEKxkct
Button zum nach oben scrollen