Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
  • Русский
  • Английский
Article

Fundamentals of engineering methods for calculating the hydrotransportation of solid particles in horizontal and vertical pipes

Published: 23.03.2018

Authors: Kondratiev A.S., Nha T.L., Shvydko P.P.

Published in issue: #3(75)/2018

DOI: 10.18698/2308-6033-2018-3-1740

Category: Mechanics | Chapter: Mechanics of Liquid, Gas, and Plasma

The method of calculating hydrotransport parameters is based on the Lagrange approach. The results of comparison of the calculated hydrotransportation characteristics (average velocity, pressure gradient, the average volume fraction of the solid phase and its distribution in the vertical diametrical section) were compared with the experimental and calculated dependencies obtained by foreign authors. For horizontal pipelines, we compared particles of the sand of two different fractions in pipes of two diameters, at two-phase flow velocities and a volume fraction of the solid phase, as well as for sand particles of three fineness parameters in a tube with given range of velocities and a volume fraction of the solid phase. For vertical piping we show the results of comparison of the calculated and experimental values of hydrotransportation characteristics of relatively coarse particles in a pipe with two-phase flow velocities and the volume fraction of solids of given range. The developed methods showed qualitatively and quantitatively better agreement with the experimental data, in comparison with the calculation methods used by foreign authors.


References
[1] Kondratiev A.S., Shvydko P.P. Teoreticheskie osnovy khimicheskoy technologii — Theoretical Foundations of Chemical Engineering, 2017, vol. 51, no. 1, pp. 99–110.
[2] Norman J.T., Navak H.V., Bonnecaze R.T. Migration of buoyant particles in low — Reynolds — number pressure — driven flow. J. Fluid Mechanics, 2005, vol. 523, pp. 1–28.
[3] Kondratiev A.S. Teoreticheskie osnovy khimicheskoy tekhnologii — Theoretical Foundations of Chemical Engineering, 2009, vol. 43, no. 4, pp. 459–465.
[4] Kondratiev A.S., Nha T.L., Shvydko P.P. Empiricheskie formuly dlya rascheta pod’emnykh sil, deystvuyushchikh na tverdye chastitsy pri gidrotrasportirovanii [Empirical formulas for calculation of lifting forces acting on solid particles during hydrotransportation]. In: Problemy aksiomatik v gidrogazodinamike [Problems of axiomatics in hydrodynamics. Coll. art.]. No. 30. Moscow, Sputnik + Publ., 2016, pp. 407–419.
[5] Cerbelli S., Giusti A., Soldati A. ADE approach to predicting dispersion of heavy particles in wall-bounded turbulence. Intern. J. Multiphase Flow, 2001, vol. 27, no. 11, pp. 1861–1879.
[6] Roco M.C., Shook C.A. Modeling of Slurry Flow: The Effect of Particle Size. Can. J. Chem. Engin. 1983, vol. 61 (4), pp. 494–503.
[7] Gillies R.G., Shook C.A., Xu J. Modeling Heterogeneous Slurry Flow at High Velocities. Can. J. Chem. Engin, 2004, vol. 82 (5), pp. 1060–1065.
[8] Messa G.V., Malavasi S. Numerical prediction of particle distribution of solid-liquid slurries in straight pipes and bends. Engin. Applic. Comput. Fluid Mech., 2014, vol. 8, no. 3, pp. 356–372.
[9] Kondratiev A.S., Shvydko P.P. Vestnik MGPU. Seriya: Estestvennye nauki — Vestnik. Moscow City University. Natural Sciences, 2017, no. 2 (26), pp. 59–69.
[10] Gopaliya M.K., Kaushal D.R. Modeling of sand-water slurry flow through horizontal pipe using CFD. J. Hydrol. Hydromech, 2016, vol. 64, no. 3, pp. 261–272.
[11] Summer R.J., McKibben M.J., Shook C.A. Concentration and velocity distributions in turbulent vertical slurry flows. Ecoulements Solide-Liquide, 1990, vol. 2 (2), pp. 33–42.
[12] Kondratiev A.S., Nha T.L. Fundamentalnye issledovaniya — Fundamental research, 2016, no. 9, pp. 35–42.
[13] Krampa-Morlu F.N., Bergstrom D.J., Bugg J.D., Sanders R.S., Schaan J. Numerical Simulation of Dense Coarse Particle Slurry Flows in a Vertical Pipe. 5th ICMF. Yokohama. Japan. May 31–June 3. 2004, p. 1. URL: http://homepage.usask.ca/~fnk382/icmf_2004.pdf
[14] Krampa F.N. Two-Fluid Modelling of Heterogeneous Coarse Particle Slurry Flows. Doct. Disser. Univer. Saskatchewan, 2009, 242 p.