An optically, aerodynamically and economically optimized and particularly wind-insensitive cleaning apparatus for cleaning a surface of a sensor apparatus of a vehicle with a fluid cleaning agent. The surface is delimited by an encircling outer edge which is arranged so as to be substantially flush with a surrounding outer surface region, and the cleaning apparatus includes a flow body for guiding a fluid stream flowing from the spray nozzle to the surface and flowing away from the surface, wherein the flow body at least sectionally adjoins the outer edge of the surface, in particular completely surrounds the outer edge, and, at the outer edge, an outer surface of the flow body is oriented so as to be substantially tangential to the adjoining surface.