Ihle, CF & Tamburrino, A 2009, 'Proposed Scaling Laws for Laminar Flow of a Bingham Plastic Down an Inclined Plane', in R Jewell, AB Fourie, S Barrera & J Wiertz (eds), Proceedings of the Twelfth International Seminar on Paste and Thickened Tailings
, Australian Centre for Geomechanics, Perth, pp. 225-232, https://doi.org/10.36487/ACG_repo/963_26
The present tendency of the mining industry to design and evolve their production systems to minimise the
use of water has resulted in the need for an assessment of efficient paste and thickened tailings disposal sites.
This paper proposes a dimensionless variable and a length model for slow laminar Bingham flows. Results
converge to previous scalings at the limit of Newtonian fluid. Reasonable agreement with field data reported
in the previous edition of the present conference was found.
Abramowitz, M. and Stegun, I.A. (eds) (1972) Handbook of mathematical functions, US National Bureau of Standards,
Abulnaga, B.E. (2002) Slurry sistems handbook, McGraw-Hill.
Alderman, N.J. and Haldenwang, R. (2007) A review of Newtonian and non-Newtonian flow in rectangular open
channels, In Hydrotransport 17, 17th International Conference on the Hydraulic Transport of Solids.
Antofagasta Minerals S.A. Esperanza project overview (2008) URL
, viewed 14th
Baldock, T.E., Tomkins, M.R., Nielsen, P. and Hughes, M.G. (2004) Settling velocity of sediments at high
concentrations, Coast. Eng., 51, pp. 91–100.
Benjamin, T.B. (1957) Wave formation in a laminar flow down an inclined plate. J. Fluid Mech., 2, pp. 554–574.
Bonnecaze, R.T., Huppert, H.E. and Lister, J.R. (1993) Particle-driven gravity currents. J. Fluid Mech., 250,
Dade, W.B. and Huppert, H.E. (1995) Runout and fine-sediment deposits of axisymmetric turbidity currents,
J. Geophys. Res., 100(C9), pp. 18,597–18, 609.
Griffiths, R.W. (2000) The dynamics of lava flows. Annu. Rev. Fluid Mech., 32, pp. 477–518.
Hallworth, M.A. and Huppert, H.E. (1998) Abrupt transitions in high-concentration, particle-driven gravity currents,
Phys. Fluids, 10(5), pp. 1083–1087.
Paste 2009, Viña del Mar, Chile 231
Proposed Scaling Laws for Laminar Flow of a Bingham Plastic Down an Inclined Plane C.F. Ihle and A. Tamburrino
Hallworth, M.A., Hogg, A.J. and Huppert, H.E. (1998) Effects of external flow on compositional and particle gravity
currents, J. Fluid Mech., 359, pp.109–142.
Hanks, R.W. (1963) The laminar-turbulent transition in pipes, concentric annuli and parallel plates, AIChE J., 9,
Huang, X. and García, M.H. (1997) A perturbation solution for Bingham-plastic mudflows, J. Hidr. Eng., 123,
Lister, J.R. (1992) Viscous flows down an inclined plane from point and line sources, J. Fluid Mech., 242,
Liu, K.O. and Mei, C.C. (1989) Slow spreading of a sheet of bingham fluid on an inclined plane, J. Fluid Mech., 207,
Naik, B. (1983) Mechanics of mudflow and treated as the flow of a Bingham fluid, PhD thesis, Washington State
Pirouz, B., Kavianpour, M.R. and Williams, P. (2005) Thickened tailings beach deposition, field observations and full-
scale flume testing, Proceedings of the Eighth International Seminar on Paste and Thickened Tailings, R.J.
Jewell and S. Barrera (eds), Australian Centre for Geomechanics, Perth, Australia, pp. 53–72.
Richardson, J. F. and Zaki, W.N. (1954) Sedimentation and fluidisation; part 1, Trans. Inst. Chem. Eng., 32, pp. 35–53.
Robinsky, E.I. (1999) Thickened tailings disposal in the mining industry, E.I. Robinsky Associates Limited.
Shou, G. (2005) Laminar flow — possible pipeline operating mode, Proceedings of the Eighth International Seminar on
Paste and Thickened Tailings, R.J. Jewell and S. Barrera (eds), Australian Centre for Geomechanics, Perth,
Australia, pp. 45–52.
Wasp, E.J. (1977) Solid-Liquid Flow Slurry Pipeline Transportation, Trans Tech Publications.
Yih, C.S. (1963) Stability of liquid flow down an inclined plane. Phys. Fluids, 6, pp. 321–334.
232 Paste 2009, Viña del Mar, Chile