The body of the convertible has, in addition to the cross sections of the heater and/or vent installation, a further flow conduit (5) with a relatively large flow cross section, by means of which an airflow (accordance with arrow 7) from the outside into the front area (6) of the passenger compartment can be attained in a controlled way. In this way that amount of air is purposefully supplied back to the passenger compartment, which is swept along or drawn off (arrows 12) by the air which, deflected by the inclined windshield (9), flows off with increased speed towards the back (arrow 1). In this way annoying draft conditions are avoided which occur in convertibles when the underpressure, which is created because of suction, generates an air flow directed from the back into the front area of the passenger compartment.