“…When the axis of the pipe is not vertical, it is clear that the particles will be distributed nonuniformly over the cross section as a result of gravitational sedimentation, so one-dimensional theoretical treatments are inappropriate. Marked segregation of the particles over the cross section, however, occurs even in vertical flow (Bartholomew and Casagrande, 1957; Saxton and Worley, 1970; Yerushalmi et al, 1978; Youchou and Kwauk, 1980; Weinstein et al, 1984; Bader et al, 1988). In some cases, they are found to be concentrated near the pipe wall, while in others large regions of high concentrations, called streamers, extend well into the center of the pipe.…”