An electrically heated aerosol-generating device includes a storage portion configured to contain an aerosol-forming substrate and having a fluid permeable internal surface surrounding an open-ended passage extending through the cartridge. The device includes a housing having a cavity for receiving the cartridge, and a heater assembly positioned in the cavity. The heater assembly includes an elongate support member connected to the housing and arranged to extend into the open-ended passage of a cartridge inserted in the cavity. The heater assembly also includes a plurality of electric heaters fixed to and spaced along the length of the elongate support member.
