An electrically heated aerosol-generating system comprising: a consumable cartridge comprising a storage portion containing an aerosol-forming substrate, the storage portion having a fluid permeable internal surface surrounding an open-ended passage extending through the cartridge; and an electrically heated aerosol-generating device for use with the consumable cartridge, the device comprising: a housing having a cavity for receiving at least a portion of the cartridge; and a heater assembly positioned in the cavity, the heater assembly comprising: an electrically conductive hollow shaft portion connected to the housing and defining an airflow passage forming part of an airflow pathway through the device, the hollow shaft portion being arranged to extend into the open-ended passage of a cartridge received in the cavity, and at least one electric heater (350, 450) positioned along the hollow shaft portion, the electric heater comprising at least one heating element (352, 452) for heating the aerosol forming substrate of a cartridge received in the cavity, wherein the hollow shaft portion comprises a plurality of apertures (310, 410), and wherein the at least one heating element is formed by one or more narrow regions of the hollow shaft portion between adjacent apertures. a consumable cartridge comprising a storage portion containing an aerosol-forming substrate, the storage portion having a fluid permeable internal surface surrounding an open-ended passage extending through the cartridge; and an electrically heated aerosol-generating device for use with the consumable cartridge, the device comprising: a housing having a cavity for receiving at least a portion of the cartridge; and a heater assembly positioned in the cavity, the heater assembly comprising: an electrically conductive hollow shaft portion connected to the housing and defining an airflow passage forming part of an airflow pathway through the device, the hollow shaft portion being arranged to extend into the open-ended passage of a cartridge received in the cavity, and at least one electric heater (350, 450) positioned along the hollow shaft portion, the electric heater comprising at least one heating element (352, 452) for heating the aerosol forming substrate of a cartridge received in the cavity, wherein the hollow shaft portion comprises a plurality of apertures (310, 410), and wherein the at least one heating element is formed by one or more narrow regions of the hollow shaft portion between adjacent apertures. a housing having a cavity for receiving at least a portion of the cartridge; and a heater assembly positioned in the cavity, the heater assembly comprising: an electrically conductive hollow shaft portion connected to the housing and defining an airflow passage forming part of an airflow pathway through the device, the hollow shaft portion being arranged to extend into the open-ended passage of a cartridge received in the cavity, and at least one electric heater (350, 450) positioned along the hollow shaft portion, the electric heater comprising at least one heating element (352, 452) for heating the aerosol forming substrate of a cartridge received in the cavity, wherein the hollow shaft portion comprises a plurality of apertures (310, 410), and wherein the at least one heating element is formed by one or more narrow regions of the hollow shaft portion between adjacent apertures. an electrically conductive hollow shaft portion connected to the housing and defining an airflow passage forming part of an airflow pathway through the device, the hollow shaft portion being arranged to extend into the open-ended passage of a cartridge received in the cavity, and at least one electric heater (350, 450) positioned along the hollow shaft portion, the electric heater comprising at least one heating element (352, 452) for heating the aerosol forming substrate of a cartridge received in the cavity, wherein the hollow shaft portion comprises a plurality of apertures (310, 410), and wherein the at least one heating element is formed by one or more narrow regions of the hollow shaft portion between adjacent apertures.