A hand boiler functions similar to the "drinking bird" toy: The upper and lower bulbs of the device are at different temperatures, and therefore the vapor pressure in the two bulbs is different.  Since the lower bulb is warmer, the vapor pressure in it is higher.  The difference in vapor pressure forces the liquid from the lower bulb to the upper bulb.  Thus:
where:<br>
 = the height of the column of fluid above the fluid's level in the lower bulb<br>
 = the difference in vapor pressure between the two bulbs (which can be determined via the Antoine equation)<br>
 = the density of the liquid<br>
 = the acceleration of gravity at the Earth's surface
The liquid inside a hand boiler (ethanol) does not actually boil. The "boiling" is caused by the relationship between the temperature and pressure of a gas. As the temperature of a gas in a closed container rises, the pressure also rises. There must be a temperature (and pressure) difference between the two large chambers for the liquid to move. When held upright (with the smaller bulb on top), the liquid will move from the bulb with the higher pressure to the bulb with lower pressure. As the gas continues to expand, the gas will then bubble through the liquid, making it appear to boil. The fact that the liquid is volatile (easily vaporized) makes the hand boiler more effective. Adding heat to the liquid produces more gas, also increasing pressure in the closed container.
Sometimes a hand boiler is used to show properties of distillation. Since the liquid both evaporates and condenses at relatively cool temperatures while in an enclosed system, the boiler can be turned upside down, and the top end can be placed in ice water. The gaseous form of the liquid will condense in the cooled chamber. Since the liquid is often colored with dye, but the dye does not evaporate or condense at the same temperature, the liquid that condenses in the cooled chamber is colorless, leaving the pigment behind.