Tire support rim for track roller associated with a flange

A tire support rim for track roller associated with a flange is provided with a circular tire (2), and a support rim (1) for an annular track roller producing a flange. The rim (1) defines a peripheral edge intended to bear a tire, a medial edge in contact with the medial portion of the roller, and two opposite faces producing, on the one hand, an open face and, on the other hand, a bearing face positioned against the surface of the flange of the roller. The rim (1) incorporates a cooling device having at least one circulation duct for air passing through the thickness of the rim from an orifice (51) of the open face such that the duct has a portion at the medial edge and a portion positioned radially on the bearing face between the medial and peripheral edges.