“…For transport of large particles in vertical pipe, a predictive model based on the work of Newitt et al [7] and Richardson et al [8] is proposed and validated on a set of experimental data [9][10][11]. However, in horizontal, and a fortiori in geometries in S-shape, there are few models [1][2][3][4][12][13][14][15] and the effects of specific mass and more specifically of very large particle size have not been systematically explored. One major difficulty in the case of transport of large particles and high specific mass comes from the various flow regimes that may be observed [1,2,4,12,13,16,17]: when the speed of transportation increases, several transitions arise from regimes with a layer of solids at the bottom of the pipe that is at rest or that flows backwards in inclined pipes [13,16,17] to regimes with a moving bed and eventually to heterogeneous and pseudo-homogeneous suspensions at high mixture velocities.…”