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This study utilizes computations based on soft-particle discrete elementmethod for investigating the scaling of velocity in a two-dimensional silodraining under gravity. We focus on the region situated directly above and inproximity to the outlet, referred to as the region of orifice influence (ROI).The velocity at the exit scales with the outlet size, in agreement withprevious studies. The velocity in the ROI upstream of the outlet, however, doesnot collapse to a single curve when scaled with the outlet size. We show thatthe height of an $\textit{equi-inertial}$ curve, which is defined to be a curveon which the inertial number is constant, can be employed for scaling thevelocity in the ROI. The velocity corresponding to an equi-inertial curve, whenmeasured relative to the outlet velocity, is considered for scaling. Resultsshow that the scaling holds very well for low inertial number corresponding tothe dense flow regime, whereas it breaks down for high inertial number region.

Velocity scaling in the region of orifice influence in silo draining under gravity