In an electronic cigarette, a mesh element is in contact with liquid storage. A heater is spaced apart from the mesh element and positioned to heat air which flows through the mesh element. The heated air vaporizes the liquid in or on the mesh. The vapor is inhaled by the user. A method of vaporizing a liquid in an electronic cigarette includes conducting liquid from a liquid storage to a mesh element. Electric current is supplied to a heater, optionally in response to sensing inhalation on the outlet or mouthpiece of the electronic cigarette. The heater heats air and the heated air is conducted through the mesh element, with the heated air vaporizing liquid on or in the mesh element. The vaporized liquid is entrained with the heated air and may then flow through or around the liquid storage to the mouthpiece.