Abstract
This paper presents an experimental investigation on the effect of a long efflux tube on water-submerged granular flow. A cylindrical bin connected to an outlet tube with length to diameter ratio of 100 at the bottom center was used to simulate the discharge processes. Pressure variations at the bin bottom and at the outlet were monitored with transducers. Effects of the tube on free water discharge, dry solid flow and solid and water mixture flow were investigated and compared. Experimental results found that significant negative pressure which can reach as large as the water pressure above the bin bottom was induced by the flow and the pressure gradient at the orifice had significantly increased the mass flow rate. A previously proposed equation with a corrected coefficient was used to fit the measured flow data and a quite well agreement was found.
Similar content being viewed by others
References
Beverloo, W.A., Leniger, H.A., Van de Velde, J.: The flow of granular solids through orifices. Chem. Eng. Sci. 15, 260–269 (1961)
Sheldon, H.G., Durian, D.J.: Granular discharge and clogging for tilted hoppers. Granul. Matter 12(6), 579–585 (2010)
Nedderman, R.M., Tuzun, U., Savage, S.B., Houlsby, G.T.: The flow of granular materials I: discharge rates from hoppers. Chem. Eng. Sci. 37, 1597–1609 (1982)
Brown, R.L.: Minimum energy theorem for flow of dry granules through apertures. Nature 191, 459–461 (1961)
Harmens, A.: Flow of granular material through horizontal apertures. Chem. Eng. Sci. 18, 297–306 (1963)
Resnick, W., Heled, Y., Klein, A., Palm, E.: Effect of differential pressure on flow of granular solids through orifices. Ind. Eng. Chem. Fundam. 5, 392–396 (1966)
Hilton, J.E., Cleary, P.W.: Granular flow during hopper discharge. Phys. Rev. E 84, 011307 (2011)
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)
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)
Bulsara, P.U., Zenz, F.A., Eckert, R.A.: Pressure and additive effects on flow of bulk solids. Ind. Eng. Chem. Process. Des. Dev. 3, 348–355 (1964)
Carleton, A.J.: The effect of fluid-drag forces on the discharge of free-flowing soilds from hoppers. Powder Technol. 6, 91–96 (1972)
Ring, R.J., Buchanan, R.H., Doig, I.D.: The discharge of granular material from hoppers submerged in water. Powder Technol. 8(3–4), 117–125 (1973)
Lamptey, B.M., Thorpe, R.B.: The discharge of solid–liquid mixtures from hoppers. Chem. Eng. Sci. 46(9), 2197–2212 (1991)
Guo, S., Shao, Y., Zhang, T., Zhu, D.Z., Zhang, Y.: Physical modeling on sand erosion around defective sewer pipes under the influence of groundwater. J. Hydraul. Eng. 139(12), 1247–1257 (2013)
Wilson, T.J., Pfeifer, C.R., Meysingier, N., Durian, D.J.: Granular discharge rate for submerged hoppers. Papers Phys. 6(2) (2014). doi:10.4279/PIP.060009
Koivisto, J., Durian, D.J.: The sands of time run faster near the end.arXiv preprint. arXiv:1602.05627 (2016)
Chen, Y.M., Rangachari, S., Jackson, R.: Theoretical and experimental investigation of fluid and particle flow in a vertical standpipe. Ind. Eng. Chem. Fundam. 23(3), 354–370 (1984)
Knowlton, T.M., Mountziaris, T.J., Jackson, R.: The effect of pipe length on the gravity flow of granular materials in vertical standpipes. Powder Technol. 47(2), 115–128 (1986)
Gu, Z.H., Arnold, P.C., McLean, A.G.: The use of standpipes for increasing limiting gravitational flowrate from mass flow bins. KONA Powder Part. J. 11, 139–145 (1993)
Bingham, E.C., Wikoff, R.W.: The flow of dry sand through capillary tubes. J. Rheol. (1929–1932) 2(4), 395–400 (1931)
Yuasa, Y., Kuno, H.: Effects of an efflux tube on the rate of flow of glass beads from a hopper. Powder Technol. 6(2), 97–102 (1972)
Brater, E.F., King, H.W., Lindell, J.E., Wei, C.Y.: Handbook of Hydraulics. McGraw-Hill, New York (1996)
Donsi, G., Ferrari, G., Poletto, M.: Distribution of gas pressure inside a hopper discharging fine powders. Chem. Eng. Sci. 52(23), 4291–4302 (1997)
Rao, K.K., Nott, P.R.: An Introduction to Granular Flow. Cambridge University Press, New York (2008)
Acknowledgements
The writers gratefully acknowledge financial support from the Fundamental Research Funds for the Central Universities, China Postdoctoral Science Foundation (Grant No. 2013M541781) and the Chinese Water Pollution Control Program (Project Number. 2011ZX07301-004).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
Shuai Guo has received research grants from the Fundamental Research Funds for the Central Universities and China Postdoctoral Science Foundation. Yiping Zhang has received research grants from Chinese Water Pollution Control Program Foundation.
Rights and permissions
About this article
Cite this article
Guo, S., Yu, T. & Zhang, Y. Water-submerged granular flow through a long efflux tube. Granular Matter 19, 45 (2017). https://doi.org/10.1007/s10035-017-0732-7
Received:
Published:
DOI: https://doi.org/10.1007/s10035-017-0732-7