Abstract

The gravity flow of granular materials down a vertical pipe is studied using a continuum model [Goodman and Cowin, J. Fluid Mech. 45, 321–339 (1971), Goodman and Cowin, Arch. Rational Mech. Anal. 44, 249–266 (1972), Rajagopal and Massoudi, DOE/PETC/TR-90/3 (1990)]. The equations are developed for both the case of slip and no-slip at the boundary. The resulting boundary value problem is solved numerically. The effect of material parameters (compressibility, volume distribution, and viscous effects) on the volume fraction and velocity in the pipe are studied.

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