A cartridge (70) for an e-vaping device (60) includes a reservoir (24) configured to hold a pre-vapor formulation and a channel structure (25) that includes a channel surface with a first channel surface portion, a second channel surface portion, and at least one open-microchannel. The channel surface includes at least one open-microchannel, the at least one open-microchannel extending between the first channel surface portion and the second channel surface portion. The channel structure (25) is configured to draw the pre-vapor formulation from the reservoir (24) to the second channel surface portion based on capillary action of the pre-vapor formulation through the at least one open-microchannel. The cartridge (70) also comprises at least one heating element (28) configured to vaporize the pre-vapor formulation drawn to the second channel surface portion to form a vapor.
