A heat exchanger for an air circulation channel of a turbomachine, with the heat exchanger being configured to be passed through by a fluid to be cooled, is provided. The heat exchanger includes a plurality of fins protruding with respect to a support surface, each fin extends axially over a length in the direction of the circulation of air and includes a leading edge and a trailing edge. Each fin further includes a central body, between the leading edge and the trailing edge, with the central body having, in a plane parallel to the support surface, a curved central profile.