The invention concerns the treatment of a wound (20) on a body part, for example a forearm (28). Treatment apparatus (10) is provided which makes use of an enclosure to enclose the body part. The arrangement is such that a space inside the enclosure is partially occupied by the body part. The enclosure has an inlet (46) through which a gaseous fluid can be fed into the unoccupied portion of the space (77) and an outlet (39.1) through which gaseous fluid can exhaust from the enclosure. In use, gaseous fluid is passed through the unoccupied portion of the space, from the inlet to the outlet, in order to treat the wound. In the preferred embodiment, the enclosure is provided by a flexible, inflatable bag (14) and the operating parameters are such that the passage of the gaseous fluid through the bag maintains the bag in an inflated condition about the body part.