A
clutch device has a housing connected to a drive; a
takeoff, which is mounted with freedom of rotation in the circumferential direction relative to the housing; and at least one friction
clutch, which is mounted in the housing and which can be shifted between an engaged position and a released position. The
clutch has clutch components including at least one pressure-exerting device and at least one clutch element which can be actuated by the pressure-exerting device, both the clutch element and the pressure-exerting device being able to shift position to a limited extent in the axial direction. The clutch element has at least one friction surface and a clutch hub in working connection with the
takeoff. Beginning at a point of contact between the engaged position and the released position and continuing until the engaged position is reached, the torque of the drive can be transmitted via the housing and the friction clutch to the
takeoff, whereas on the other side of the contact point and continuing until the released position, this
torque transmission is suspended. A torque-building arrangement, which exerts force on the pressure-exerting device in the direction pointing away from the clutch element of the friction clutch, is assigned to the pressure-exerting device. This torque-building arrangement uses the pressure-exerting device as a first support element on one side and the clutch element as a second support element on the other side. On at least one of these support elements and / or on the torque-building arrangement, at least one flow passage is provided for the fluid which is present in a cooling space inside the housing in which the friction clutch is disposed.