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- In relation to this article, we declare that there is no conflict of interest.
- Publication history
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Received October 1, 2022
Revised October 26, 2022
Accepted October 26, 2022
- Acknowledgements
- This study was supported by the Ministry of Trade, Industry, and Energy (MOTIE, Korea) under the Industrial Technology Innovation Program (No. 20011712) and by National Research Foundation of Korea (NRF) grants funded by the Ministry of Science and ICT (MSIT) of the Korean government (No. NRF-2016R1A5 A1009592 and NRF-2021M3H4A6A01041234).
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Lattice Boltzmann modeling and analysis of ceramic filtration with different pore structures
Department of Chemical and Biological Engineering, Korea University, Seoul 02841, Korea
bjchun@grtrkr.korea.ac.kr, hwjung@grtrkr.korea.ac.k
Korean Journal of Chemical Engineering, June 2023, 40(6), 1309-1316(8), 10.1007/s11814-022-1329-3
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Abstract
The pressure drop in the ceramic filter system of the after-treatment device has a great effect on automobile engine performance. To predict the pressure drop under various operating conditions, it is necessary to analyze
how the structural properties of porous media affect the permeability. The commonly used Kozeny-Carman model
correlating permeability and porosity is useful for porous media composed of spherical grains, but exhibits considerable deviations in the actual ceramic filter system with low porosity. In this study, the permeability of overlapped-random structured porous media with low porosity was numerically solved by mesoscopic lattice Boltzmann (LB) method
in Darcy flow regime. Based on LB simulation results, a new capillary model modified from Kozeny-Carman model is
proposed for practically predicting the permeability of complex porous filter systems, using key structural variables
such as porosity, tortuosity, and effective pore-throat radius.
Keywords
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3. S. Bensaid, D. L. Marchisio, D. Fino, G. Saracco and V. Specchia,Chem. Eng. J., 154, 211 (2009).
4. T.-T. Nguyen, A. Demortière, B. Fleutot, B. Delobel, C. Delacourt and S. J. Cooper, npj Comput. Mater., 6, 1 (2020).
5. M. F. Lagadec, R. Zahn and V. Wood, Nat. Energy, 4, 16 (2019).
6. G. Jeon, S. Y. Yang and J. K. Kim, J. Mater. Chem., 22, 14814 (2012).
7. M. Masoudi, A. G. Konstandopoulos, M. S. Nikitidis, E. Skaperdas, D. Zarvalis, E. Kladopoulou and C. Altiparmakis, SAE Transactions, 110, 650 (2001).
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16. P. C. Carman, Trans. Inst. Chem. Eng., 15, 150 (1937).
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18. M. Safari, R. Gholami, M. Jami, M. A. Ananthan, A. Rahimi and
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23. P. Guo, Transp. Porous Media, 95, 285 (2012).
24. C. Tien and B. V. Ramarao, Powder Technol., 237, 233 (2013).
25. R. Schulz, N. Ray, S. Zech, A. Rupp and P. Knabner, Transp. Porous Media, 130, 487 (2019).
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28. H. Darcy, Les fontaines publiques de la ville de Dijon, V. Dalmont,Paris (1856).
29. J. Happel and H. Brenner, Low Reynolds number hydrodynamics:With special applications to particulate media, Springer, Berlin (2012).
30. J. Happel, AIChE J., 4, 197 (1958).
31. B. Ghanbarian, A. G. Hunt, R. P. Ewing and M. Sahimi, Soil Sci.Soc. Am. J., 77, 1461 (2013).
32. M. Mota, J. A. Teixeira, W. R. Bowen and A. Yelshin, Trans. Filt.Soc., 1, 101 (2001).
33. M. M. Ahmadi, S. Mohammadi and A. N. Hayati, Phys. Rev. E, 83,026312 (2011).
34. A. Koponen, M. Kataja and J. Timonen, Phys. Rev. E, 54, 406 (1996).
35. M. Matyka, A. Khalili and Z. Koza, Phys. Rev. E, 78, 026306 (2008).
36. A. Duda, Z. Koza and M. Matyka, Phys. Rev. E, 84, 036319 (2011).
37. E. Mauret and M. Renaud, Chem. Eng. Sci., 52, 1807 (1997).
38. G. E. Archie, Trans. AIME, 146, 54 (1942).
39. C. F. Berg, Transp. Porous Med, 103, 381 (2014).
40. F. A. L. Dullien, Porous media: Fluid transport and pore structure,Academic Press, New York (1992).
41. C. F. Berg, Phys. Rev. E, 86, 046314 (2012).
42. E. E. Petersen, AIChE J., 4, 343 (1958).
43. X. Huang, Q. Wang, W. Zhou, D. Deng, Y. Zhao, D. Wen and J. Li,Powder Technol., 283, 618 (2015).
44. E. Brun, J. Vicente, F. Topin, R. Occelli and M. J. Clifton, Adv. Eng.Mater., 11, 805 (2009).
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47. A. J. C. Ladd, J. Fluid Mech., 271, 285 (1994).
48. A. J. C. Ladd and R. Verberg, J. Stat. Phys., 104, 1191 (2001).
49. N. Q. Nguyen and A. J. C. Ladd, Phys. Rev. E, 66, 046708 (2002).
50. B. Chun, J. S. Park, H. W. Jung and Y.-Y. Won, J. Rheol., 63, 437(2019).
51. B. Chun and H. W. Jung, Phys. Fluids, 33, 053318 (2021).
52. I. Ginzburg and D. d’Humieres, Phys. Rev. E, 68, 066614 (2003)
