Abstract
We phrase boundary-value problems for a dense, steady, fully developed, gravitational flow of identical inelastic spheres and water over an inclined erodible bed in the presence of sidewalls. The mass density and the size of the spheres are that of the particles employed in laboratory experiments by Armanini et al., [J. Fluid Mech. 532, 269 (2005)]. We obtain numerical solutions for the profiles of the solid volume fraction, the strength of the particle velocity fluctuations, and the mean velocities of the particles and fluid. We compare these with those measured in the experiments.