The externally circulating heated reaction or separation container includes container and external heat exchanger. The container may be a tower or kettle of double-chamber structure including inner chamber in the bottom of the container and outer chamber comprising the continuous space outside the inner chamber. The inner chamber has its top in the height of below 1/2 inside container space. The pipe connecting the container and the heat exchanger inlet is communicated with the inner chamber, the and pipe connecting the container and the heat exchanger outlet is communicated with the outer chamber. The separated inner chamber and outer chamber are communicated via a U-shaped pipe as liquid material channel. The container has increased static member to utilize the pressure of the gas phase material escape existing owing to evaporation or reaction to drive the circular flow of material and to increase the flow power.