Laboratory investigation of dry granular flow through an opening
Granular Matter - 2023
Tóm tắt
Granular flow is a scientific problem with applications in many engineering problems such as sinkholes, ground surface collapse, and soil loss into a defective pipe. In most previous studies, however, only single size grain has been considered in mass flow rate calculations for simplicity. In nature, most granular materials have different sizes of grains. It is believed that the grain size distribution plays an essential role in the flow mechanics of granular material, which has not been well studied. This study investigates the effects of the grain size distribution on the granular flow through a slot experimentally. It also examines the development of a free-fall arch during the flow process. The results show that the grain size, grain size distribution, and slot width are the controlling parameters that determine the mass flow rate. The mass flow rate is found to be independent of the material height above the slot for any given grain size distribution. This observation suggests the existence of a free-fall arch that controls the flow rate above the slot. Besides, the mass flow rate is governed by the finer portion of the material rather than the coarser materials. In calculating the mass flow rate using the existing formula, there are some discrepancies between the calculated and observed flow rates which are attributed to the simplifications in the formula, which does not consider the effects of grain shape and flow density. An attempt is made to identify the characteristic grain size based on experimental measurements for non-uniform grain size distributions to calculate the mass flow rate.
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Tài liệu tham khảo
Le Pennec, T., Maloy, K.J., Hansen, A., Ammi, M., Bideau, D., Wu, X.I.: Ticking hour glasses: experimental analysis of intermittent flow. Phys. Rev. E 53(3), 2257–2264 (1996)
Hermosilla, R.: The Guatemala City sinkhole collapses. Carbonates Evaporates 27(2), 103–107 (2012)
Guo, S., Zhu, D.Z.: Soil and groundwater erosion rates into a sewer pipe crack. J. Hydraul. Eng. 143(7), 1–5 (2017)
Meza-Diaz, B., Tremblay, B., Doan, Q.: Mechanisms of sand production through horizontal well slots in primary production. J. Can. Pet. Technol. 42(10), 36–46 (2003)
Hilton, J.E., Cleary, P.W.: Granular flow during hopper discharge. Phys. Rev. E 84(1), 011307 (2011)
Rao, K., Nott, P.: An Introduction to Granular Flow (Cambridge Series in Chemical Engineering). Cambridge University Press, Cambridge (2008)
Terzaghi, K.: Theoretical Soil Mechanics. Wiley, New York (1943)
Drescher, A., Waters, A.J., Rhoades, C.A.: Arching in hoppers: i. arching theories and bulk material flow properties. Powder Technol. 84(2), 165–176 (1995)
Brown, R.L., Richards, J.C.: Kinematics of the flow of dry powders and bulk solids. Rheol. Acta 4(3), 153–165 (1965)
Vivanco, F., Rica, S., Melo, F.: Dynamical arching in a two dimensional granular flow. Granul. Matter 14(5), 563–576 (2012)
Tian, Y., Lin, P., Zhang, S., Wang, C.L., Wan, J.F., Yang, L.: Study on free fall surfaces in three-dimensional hopper flows. Adv. Powder Technol. 26(4), 1191–1199 (2015)
Rubio-Largo, S.M., Janda, A., Maza, D., Zuriguel, I., Hidalgo, R.C.: Disentangling the free-fall arch paradox in silo discharge. Phys. Rev. Lett. 114(23), 238002 (2015)
Janda, A., Zuriguel, I., Maza, D.: Flow rate of particles through apertures obtained from self-similar density and velocity profiles. Phys. Rev. Lett. 108(24), 248001 (2012)
Lin, P., Zhang, S., Qi, J., Xing, Y.M., Yang, L.: Numerical study of free-fall arches in hopper flows. Physica A 417, 29–40 (2015)
Ahn, H., Başaranoglu, Z., Yilmaz, M., Bugutekin, A., Zafer Gul, M.: Experimental investigation of granular flow through an orifice. Powder Technol. 186(1), 65–71 (2008)
Anand, A., Curtis, J.S., Wassgren, C.R., Hancock, B.C., Ketterhagen, W.R.: Predicting discharge dynamics from a rectangular hopper using the discrete element method (DEM). Chem. Eng. Sci. 63(24), 5821–5830 (2008)
Dias, R.P., Teixeira, J.A., Mota, M.G., Yelshin, A.I.: Particulate binary mixtures: dependence of packing porosity on particle size ratio. Ind. Eng. Chem. Res. 43(24), 7912–7919 (2004)
Janssen, H.A.: Versuche uber getreidedruck in silozellen. Zeitschr. d. Vereines deutscher Ingenieure. 39, 1045 (1895)
Beverloo, W.A., Leniger, H.A., Van de Velde, J.: The flow of granular solids through orifices. Chem. Eng. Sci. 15(3–4), 260–269 (1961)
Nedderman, R.M., Laohakul, C.: The thickness of the shear zone of flowing granular materials. Powder Technol. 25(1), 91–100 (1980)
Williams, J.C.: The rate of discharge of coarse granular materials from conical mass flow hoppers. Chem. Eng. Sci. 32(3), 247–255 (1977)
Mankoc, C., Janda, A., Arevalo, R., Pastor, J.M., Zuriguel, I., Garcimartin, A., Maza, D.: The flow rate of granular materials through an orifice. Granul. Matter 9(6), 407–414 (2007)
Nedderman, R.M.: Statics and Kinematics of Granular Materials. Cambridge University Press, Cambridge (1992)
Zuriguel, I., Garcimartin, A., Maza, D., Pugnaloni, L.A., Pastor, J.M.: Jamming during the discharge of granular matter from a silo. Phys. Rev. E 71(5), 051303 (2005)
Mankoc, C., Garcimartin, A., Zuriguel, I., Maza, D., Pugnaloni, L.A.: Role of vibrations in the jamming and unjamming of grains discharging from a silo. Phys. Rev. E 80(1), 011309 (2009)
Khanam, J., Nanda, A.: Flow of granules through cylindrical hopper. Powder Technol. 150(1), 30–35 (2005)
Tang, Y.: Mechanisms of soil erosion due to defective sewer pipes. Ph.D. Dissertation, University of Alberta (2017)
Al-Din, N., Gunn, D.J.: The flow of non-cohesive solids through orifices. Chem. Eng. Sci. 39(1), 121–127 (1984)
Franklin, F.C., Johanson, L.N.: Flow of granular material through a circular orifice. Chem. Eng. Sci. 4(3), 119–129 (1955)
Myers, M.E., Sellers, M.: Rate of discharge from wedge-shaped hoppers. Project Report, Department of Chemical Engineering, University of Cambridge (1978)
ASTM D2487-17. Standard practice for classification of soils for engineering purposes (unified soil classification system)