A stator for an axial flux machine includes a central axis corresponding to the rotational axis of the axial flux machine; and ports for supplying and draining a cooling fluid; and an outer structure comprising an outer cooling channel to let the cooling fluid flow tangentially about the central axis; and the inner structure comprising an inner cooling channel to let the cooling fluid flow tangentially about the central axis; and the intermediate structure comprising symmetrically arranged stator members. A stator member has a ferromagnetic core, and a coil includes turns wound around the ferromagnetic core. The stator further has guiding walls configured to guide the cooling fluid between the outer and the inner cooling channels.