Abstract: The material is applied to the inner surface by means of a carrier gas stream, provided with a swirl, conducted through the hollow space. To prevent or reduce the swirl loss, which occurs if the laden carrier gas stream, provided with the swirl, forces the stagnant air in the hollow space from this space and then the loss develops by friction on the inner surface, before and during the flow of the laden carrier gas provided with the swirl, an additional gas, not laden with the material, is conducted through the hollow space with a siwrl, whose direction of rotation corresponds to the swirl of the laden carrier gas stream. For this purpose, the device has on the outlet of a passage element (1), equipped with a swirl-producing device 3 for the laden carrier gas stream, outlet nozzles (4), which feed to the laden carrier gas stream the additional gas with a swirl, whose direction of rotation corresponds to that (5) of the swirl-producing device.