  Gravity-driven thick granular flows are relevant to many industrial and
geophysical processes. In particular, it is important to know and understand
the particle velocity distributions as we get deeper into the flow from the
free surface. In this paper, we use dimensional analysis as a tool to reproduce
the velocity profile experimentally reported for granular flows down a confined
heap for the so-called flowing layer and the creep layer underneath: the grains
velocity first decrease linearly from the free surface, and then exponentially.
