Sketch of the flow configuration with the frame of reference.
Influence on the approximate analytical solution for flow rate vs the angle of inclination for a channel of of (a) the coefficient of restitution (, dot-dashed line; , dashed line). (b) The parameter in the correlation length (, dot-dashed line; , dashed line). (c) The friction coefficients of the walls (, dot-dashed line; , dashed line). (d) The stress ratio at the bed (, dot-dashed line; , dashed line). In all the plots, the solid line represents the analytical solution obtained using the reference set of parameters. In (a), the experimental results (circles) of Jop et al. (Ref. 10) are also shown.
Scaled flow depth against scaled flow rate per unit width: the experiment (circles) of Félix et al. (Ref. 13), the present theoretical treatment (solid line), and the analytical solution (dashed line) of Jop et al. (Ref. 10).
Experimental [circles, from du Pont et al. (Ref. 31)] and theoretical (solid line) stopping angle vs distance between sidewalls.
Summary of the constitutive relations.
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