Sodium fuel cell and cell stack containing sodium fuel cell

The invention discloses a sodium fuel cell and a cell stack containing the sodium fuel cell. The sodium fuel cell comprises and is assembled sequentially by a cathode flow field plate, a gas cathode,an electrolyte membrane and an anode flow field plate, wherein the anode flow field plate and the electrolyte membrane form an anode flow channel in a surrounding mode. The sodium fuel cell also comprises an insulating trickling flow pipe; the inlet end of the anode flow channel is connected with a first insulating trickling flow pipe; the outlet end of the anode flow channel is connected with a second insulating trickling flow pipe; molten sodium is injected to the anode flow channel through the first insulating trickling flow pipe; and an oxidant is injected into the cavity between the cathode flow field plate and the gas cathode. As the inlet end and the outlet end of the anode flow channel of the sodium fuel cell are connected with the insulating trickling flow pipes respectively, continuously flowing molten s