Cooling device for a functional element of a vehicle, and vehicle fitted with such a device

The invention relates to a device (1) for cooling a functional element of a vehicle, comprising at least one screen (2) protection for extending under the vehicle. The device is characterized by a protective shield comprising a increased cooling means (5) of said functional element (4) cooling to during movement of the vehicle to capture air and to generate an air flow (F) of increased intensity facing said operating element (4) to be cooled. The invention also relates to a vehicle comprising such a device.