參考文獻 |
Alam, M., Trujillo, L., & Herrmann, H. J. (2006). Hydrodynamic theory for reverse brazil nut segregation and the non-monotonic ascension dynamics. Journal of Statistical Physics, 124(2–4), 587–623. https://doi.org/10.1007/s10955-006-9078-y
Aminu, K. T., Jibril, M. M., Bashir, S. D., & Jumba, A. G. (2020). Experimental Investigation of Segregation of Granular Materials using the Vibrational Phenomenon. International Journal of Advances in Scientific Research and Engineering, 05(12), 193–207. https://doi.org/10.31695/ijasre.2019.33673
Anita Mehta. (2007). Granular physics (Cambridge). New York: Cambridge University Press.
Balista, J. A. F., & Saloma, C. (2018). Modified inelastic bouncing ball model of the Brazil nut effect and its reverse. Granular Matter, 20(3). https://doi.org/10.1007/s10035-018-0821-2
Berzi, D., & Buzzaccaro, S. (2020). A heavy intruder in a locally-shaken granular solid. Soft Matter, 16(16), 3921–3928. https://doi.org/10.1039/c9sm02498k
Breu, A. P. J., Ensner, H. M., Kruelle, C. A., & Rehberg, I. (2003). Reversing the Brazil-Nut Effect: Competition between Percolation and Condensation. Physical Review Letters, 90(1), 3. https://doi.org/10.1103/PhysRevLett.90.014302
Brito, R., & Soto, R. (2009). Competition of Brazil nut effect, buoyancy, and inelasticity induced segregation in a granular mixture. European Physical Journal: Special Topics, 179(1), 207–219. https://doi.org/10.1140/epjst/e2010-01204-5
Chaiworn, P., Chung, F. F., Wang, C. Y., & Liaw, S. S. (2011). Brazil nut effect in annular containers. Granular Matter, 13(4), 379–384. https://doi.org/10.1007/s10035-010-0234-3
Chujo, T., Mori, O., Kawaguchi, J., & Yano, H. (2018). Categorization of Brazil nut effect and its reverse under less-convective conditions for microgravity geology. Monthly Notices of the Royal Astronomical Society, 474(4), 4447–4459. https://doi.org/10.1093/mnras/stx3092
Chung, Y. C., Liao, H. H., & Hsiau, S. S. (2013). Convection behavior of non-spherical particles in a vibrating bed: Discrete element modeling and experimental validation. Powder Technology, 237, 53–66. https://doi.org/10.1016/j.powtec.2012.12.052
Clement, C. P., Pacheco-Martinez, H. A., Swift, M. R., & King, P. J. (2010). The water-enhanced Brazil nut effect. Epl, 91(5). https://doi.org/10.1209/0295-5075/91/54001
Díaz-Melián, V. L., Serrano-Muñoz, A., Espinosa, M., Alonso-Llanes, L., Viera-López, G., & Altshuler, E. (2020). Rolling away from the Wall into Granular Matter. Physical Review Letters, 125(7), 78002. https://doi.org/10.1103/PhysRevLett.125.078002
Elperin, T., & Golshtein, E. (1997). Effects of convection and friction on size segregation in vibrated granular beds. Physica A: Statistical Mechanics and Its Applications, 247(1–4), 67–78. https://doi.org/10.1016/S0378-4371(97)00400-7
Feng, Y., Blumenfeld, R., & Liu, C. (2019). Support of modified Archimedes’ law theory in granular media. Soft Matter, 15(14), 3008–3017. https://doi.org/10.1039/c8sm02480d
Gutiérrez, G., Pozo, O., Reyes, L. I., Paredes, V. R., Drake, J. F., & Ott, E. (2004). Simple model for reverse buoyancy in a vibrated granular system. Europhysics Letters, 67(3), 369–375. https://doi.org/10.1209/epl/i2003-10300-3
Gutiérrez, G., Reyes, L. I., Sánchez, I., Rodríguez, K., Idler, V., & Paredes V, R. (2005). Vibration induced airflow through granular beds and density-dependent segregation. Physica A: Statistical Mechanics and Its Applications, 356(1), 83–87. https://doi.org/10.1016/j.physa.2005.05.017
Güttler, C., Von Borstel, I., Schräpler, R., & Blum, J. (2013). Granular convection and the Brazil nut effect in reduced gravity. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 87(4), 1–4. https://doi.org/10.1103/PhysRevE.87.044201
Hejmady, P., Bandyopadhyay, R., Sabhapandit, S., & Dhar, A. (2012). Scaling behavior in the convection-driven Brazil nut effect. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86(5), 1–4. https://doi.org/10.1103/PhysRevE.86.050301
Hsiau, S.-S., & Shieh, Y.-M. (1999). Fluctuations and self-diffusion of sheared granular material flows. Journal of Rheology, 43(5), 1049–1066. https://doi.org/10.1122/1.551027
Hsiau, S. S., & Chen, W. C. (2002). Density effect of binary mixtures on the segregation process in a vertical shaker. Advanced Powder Technology, 13(3), 301–315. https://doi.org/10.1163/156855202320252462
Hsiau, S. S., Liao, C. C., Sheng, P. Y., & Tai, S. C. (2011). Experimental study on the influence of bed height on convection cell formation. Experiments in Fluids, 51(3), 795–800. https://doi.org/10.1007/s00348-011-1099-x
Huerta, D. A., & Ruiz-Suárez, J. C. (2004). Vibration-Induced Granular Segregation: A Phenomenon Driven by Three Mechanisms. Physical Review Letters, 92(11), 1–4. https://doi.org/10.1103/PhysRevLett.92.114301
Huerta, D. A., Sosa, V., Vargas, M. C., & Ruiz-Suárez, J. C. (2005). Archimedes’ principle in fluidized granular systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 72(3). https://doi.org/10.1103/PhysRevE.72.031307
Idler, V., Sánchez, I., Paredes, R., Gutiérrez, G., Reyes, L. I., & Botet, R. (2009). Three-dimensional simulations of a vertically vibrated granular bed including interstitial air. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 79(5), 1–9. https://doi.org/10.1103/PhysRevE.79.051301
Idler, Vladimir, Śanchez, I., Paredes, R., & Botet, R. (2012). Reverse buoyancy in a vibrated granular bed: Computer simulations. European Physical Journal E, 35(10). https://doi.org/10.1140/epje/i2012-12106-x
Jaeger, H. M., Nagel, S. R., & Behringer, R. P. (1996). Granular solids, liquids, and gases. Reviews of Modern Physics, 68(4), 1259–1273. https://doi.org/10.1103/RevModPhys.68.1259
Liao, C. C., Hunt, M. L., Hsiau, S. S., & Lu, S. H. (2014). Investigation of the effect of a bumpy base on granular segregation and transport properties under vertical vibration. Physics of Fluids, 26(7). https://doi.org/10.1063/1.4890363
Liao, Chun Chung. (2016). Multisized immersed granular materials and bumpy base on the Brazil nut effect in a three-dimensional vertically vibrating granular bed. Powder Technology, 288, 151–156. https://doi.org/10.1016/j.powtec.2015.10.054
Liao, Chun Chung, & Hsiau, S. S. (2009). Influence of interstitial fluid viscosity on transport phenomenon in sheared granular materials. AIP Conference Proceedings, 1145(July 2009), 1023–1026. https://doi.org/10.1063/1.3179817
Liao, Chun Chung, & Hsiau, S. S. (2016). Transport properties and segregation phenomena in vibrating granular beds. KONA Powder and Particle Journal, 2016(33), 109–126. https://doi.org/10.14356/kona.2016020
Liao, Chun Chung, Hsiau, S. S., & Wu, C. S. (2012). Experimental study on the effect of surface roughness of the intruder on the Brazil nut problem in a vertically vibrated bed. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86(6), 1–8. https://doi.org/10.1103/PhysRevE.86.061316
Liao, Chun Chung, Hsiau, S. S., & Wu, C. S. (2014). Combined effects of internal friction and bed height on the Brazil-nut problem in a shaker. Powder Technology, 253, 561–567. https://doi.org/10.1016/j.powtec.2013.12.031
Liffman, K., Muniandy, K., Rhodes, M., Gutteridge, D., & Metcalfe, G. (2001). A segregation mechanism in a vertically shaken bed. Granular Matter, 3(4), 205–214. https://doi.org/10.1007/s100350100093
Liu, C. P., Bai, S., & Wang, L. (2019). Resistance forces on an intruder penetrating partially fluidized granular media. Physical Review E, 99(1), 1–7. https://doi.org/10.1103/PhysRevE.99.012903
Liu, C., Zhang, F., Wang, L., & Zhan, S. (2013). An investigation of forces on intruder in a granular material under vertical vibration. Powder Technology, 247, 14–18. https://doi.org/10.1016/j.powtec.2013.05.025
Liu, Y., & Zhao, J. H. (2015). A model for the Brazil-nut segregation time. Granular Matter, 17(2), 265–270. https://doi.org/10.1007/s10035-015-0548-2
Ludewig, F., & Vandewalle, N. (2005). Reversing the Brazil Nut Effect. European Physical Journal E, 18(4), 367–372. https://doi.org/10.1140/epje/e2005-00052-7
Ma, H. P., Lv, Y. J., Zheng, N., Li, L. S., & Shi, Q. F. (2014). Intruder motion in two-dimensional shaken granular beds. Chinese Physics Letters, 31(11). https://doi.org/10.1088/0256-307X/31/11/114501
Matthias E. Möbius, B. E., Lauderdale, S. R. N., & Jaeger, H. M. (2001). Brazil-nut effect Size separation of granular particles. Nature Journal, 414(2), 270. Retrieved from www.nature.com
McLaren, C. P., Kovar, T. M., Penn, A., Müller, C. R., & Boyce, C. M. (2019). Gravitational instabilities in binary granular materials. Proceedings of the National Academy of Sciences of the United States of America, 116(19), 9263–9268. https://doi.org/10.1073/pnas.1820820116
Möbius, M. E., Cheng, X., Eshuis, P., Karczmar, G. S., Nagel, S. R., & Jaeger, H. M. (2005). Effect of air on granular size separation in a vibrated granular bed. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 72(1), 1–13. https://doi.org/10.1103/PhysRevE.72.011304
Mora, T., Deny, S., & Marre2, O. (2015). PHYSICAL REVIEW LETTERS week ending. Prl, 114, 78105. https://doi.org/10.1103/PhysRevLett.l
Nahmad-Molinari, Y., Canul-Chay, G., & Ruiz-Suárez, J. C. (2003). Inertia in the Brazil nut problem. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 68(4), 1–6. https://doi.org/10.1103/PhysRevE.68.041301
Natarajan, V. V. R., Hunt, M. L., & Taylor, E. D. (1995). Local measurements of velocity fluctuations and diffusion coefficients for a granular material flow. Journal of Fluid Mechanics, 304, 1–25. https://doi.org/10.1017/S0022112095004320
Naylor, M. A., Swift, M. R., & King, P. J. (2003). Air-driven Brazil nut effect. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 68(1), 4. https://doi.org/10.1103/PhysRevE.68.012301
Rhodes, M., Takeuchi, S., Liffman, K., & Muniandy, K. (2003). The role of interstitial gas in the Brazil Nut effect. Granular Matter, 5(3), 107–114. https://doi.org/10.1007/s10035-003-0140-z
Rosato, A. D., Zuo, L., Blackmore, D., Wu, H., Horntrop, D. J., Parker, D. J., & Windows-Yule, C. (2016). Tapped granular column dynamics: simulations, experiments and modeling. Computational Particle Mechanics, 3(3), 333–348. https://doi.org/10.1007/s40571-015-0075-2
Sánchez, I., Gutiérrez, G., Zuriguel, I., & Maza, D. (2010). Sinking of light intruders in a shaken granular bed. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 81(6), 1–4. https://doi.org/10.1103/PhysRevE.81.062301
Sandali, Y., Chand, R., & Shi, Q. (2016). Buoyancy in granular medium: How deep can an object sink in sand? Physica A: Statistical Mechanics and Its Applications, 451, 560–564. https://doi.org/10.1016/j.physa.2016.02.004
Sanders, D. A., Swift, M. R., Bowley, R. M., & King, P. J. (2006). The attraction of Brazil nuts. Europhysics Letters, 73(3), 349–355. https://doi.org/10.1209/epl/i2005-10415-5
Shinbrot, T., & Muzzio, F. J. (1998). Reverse Buoyancy in Shaken Granular Beds. Physical Review Letters, 81(20), 4365–4368. https://doi.org/10.1103/PhysRevLett.81.4365
Tai, C. H., Hsiau, S. S., & Kruelle, C. A. (2010). Density segregation in a vertically vibrated granular bed. Powder Technology, 204(2–3), 255–262. https://doi.org/10.1016/j.powtec.2010.08.010
Tai, S. C., & Hsiau, S. S. (2009a). Movement mechanisms of solid-like and liquid-like motion states in a vibrating granular bed. Powder Technology, 194(3), 159–165. https://doi.org/10.1016/j.powtec.2009.04.001
Tai, S. C., & Hsiau, S. S. (2009b). The flow regime during the crystallization state and convection state on a vibrating granular bed. Advanced Powder Technology, 20(4), 335–349. https://doi.org/10.1016/j.apt.2009.01.003
Then, H. Z., Sekiguchi, T., & Okumura, K. (2020). Rising obstacle in a one-layer granular bed induced by continuous vibrations: Two dynamical regimes governed by vibration velocity. Soft Matter, 16(37), 8612–8617. https://doi.org/10.1039/d0sm01021a
Trujillo, L., & Herrmann, H. J. (2003). A note on the upward and downward intruder segregation in granular media. Granular Matter, 5(2), 85–89. https://doi.org/10.1007/s10035-003-0128-8
Umehara, M., & Okumura, K. (2020). Rising Obstacle in a Two-dimensional Granular Bed Induced by Continuous and Discontinuous Vibrations: Dynamics Governed by Vibration Velocity. Journal of the Physical Society of Japan, 89(3), 035001. https://doi.org/10.7566/jpsj.89.035001
Windows-Yule, C. R. K. (2016). Convection and segregation in fluidised granular systems exposed to two-dimensional vibration. New Journal of Physics, 18(3), 33005. https://doi.org/10.1088/1367-2630/18/3/033005
Windows-Yule, C. R. K., & Parker, D. J. (2014). Center of mass scaling in three-dimensional binary granular systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 89(6), 1–8. https://doi.org/10.1103/PhysRevE.89.062206
Windows-Yule, C. R. K., Weinhart, T., Parker, D. J., & Thornton, A. R. (2014). Effects of packing density on the segregative behaviors of granular systems. Physical Review Letters, 112(9), 1–5. https://doi.org/10.1103/PhysRevLett.112.098001
Yan, X., Shi, Q., Hou, M., Lu, K., & Chan, C. K. (2003). Effects of Air on the Segregation of Particles in a Shaken Granular Bed. Physical Review Letters, 91(1), 2–5. https://doi.org/10.1103/PhysRevLett.91.014302
Zamankhan, P. (2013). Sinking and recirculation of large intruders in vertically vibrated granular beds. Advanced Powder Technology, 24(6), 1070–1085. https://doi.org/10.1016/j.apt.2013.03.010
Zhang, F., Wang, L., Liu, C., Wu, P., & Zhan, S. (2014). Patterns of convective flow in a vertically vibrated granular bed. Physics Letters, Section A: General, Atomic and Solid State Physics, 378(18–19), 1303–1308. https://doi.org/10.1016/j.physleta.2014.03.001 |