Cooling element for a wheel hub drive and wheel hub drive

The invention relates to a cooling element for a wheel hub drive (2) for a driving wheel (1) of a bicycle, comprising: - a circular covering shell (10) having a concave inner surface and an opening (11) for rotatably mounting on a wheel hub (4); - first structures (14), projecting from the concave inside and upon rotation of the cover shell (10) cause a swirl of an adjacent medium.