Hernández, RH & Fuentes, RH 2012, 'Solids transport of non-Newtonian slurries in laminar open channel flow', in R Jewell, AB Fourie & A Paterson (eds), Paste 2012: Proceedings of the 15th International Seminar on Paste and Thickened Tailings
, Australian Centre for Geomechanics, Perth, pp. 343-354, https://doi.org/10.36487/ACG_rep/1263_29_Hernandez
Numerically the authors solved the Navier Stokes equations in two dimensions coupled with a highly non-linear advection-diffusion equation which predicts the volume fraction of solids in highly concentrated monomodal suspensions. Our main purpose is to simulate the solid transport of non-Newtonian slurries of high concentration in laminar 2D open channel and duct flows.
The results of the 2D numerical simulation confirm that particle migration effectively occurs from high to low shear regions, provided that the sedimentation flux is smaller compared to other particle migration mechanisms (Phillips et al., 1992).
Beverly, C.R. and Tanner, R.I. (1992) Numerical analysis of three dimensional Bingham plastic flow, in Journal of Non-Newtonian Fluid Mechanics, Vol. 42, pp. 85–115.
Hernández, R.H. (1995) Influence of the heating rate on supercritical Rayleigh-Bénard convection, International Journal of Heat Mass Transfer, Vol. 38 (16), pp. 3035–3051.
Krieger, I.M. (1972) Rheology of monodisperse lattices, Advances in Colloid and Interface Science, Vol. 3, pp. 111–136.
Mills, P. and Snabre, P. (1995) Rheology and structure of concentrated suspensions of hard spheres, Shear induced particle migration, in Journal de Physique, II France, Vol. 5, pp. 1597–1608.
Patankar, S.V. (1980) Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, Washington DC.
Phillips, R.J., Armstrong, R.C., Brown, R.A., Graham, A.L. and Abbott, R. (1992) A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration, in Physics of Fluids A, Vol. 4 (1), pp. 30–40.
Schaan, J., Summer, R.J., Gillies, R.G. and Shook, C.A. (2000) The effect of particle shape on pipeline friction for Newtonian Slurries of fine particles, Canadian Journal of Chemical Engineering, Vol. 78, pp. 717–725.
Spelay, R.B. (2007) Solids transport in laminar, open channel flow of non-Newtonian slurries, A Thesis Submitted to the College of Graduate Studies and Research in Partial Fulfilment of the Requirements for the Degree of Doctor of Philosophy in the Department of Chemical Engineering University of Saskatchewan Saskatoon, Saskatchewan, Canada, 446 p.
Van Doormaal, J.P. and Raithby, G.D. (1984) Enhancements of the simple method for predicting incompressible fluid flows, Numerical Heat Transfer, Vol. 7, pp. 147–163.