Mathematic simulation on power generation by roll cake type of thermoelectric tubes

Abstract Analytical expression of electric power was deduced in case of the large-scale thermoelectric device that consists of the multiple cylindrical tubes like roll cake exposed to two thermal fluids. The output powers of the four arrangements were mathematically solved from heat transfer theory. The maximum output power of roll-cake module was practically the largest for the system of the counter flow with a single thermoelectric tube (V1C system), but 1/4 of the ideal output power (V1II system). The multiplication of thermoelectric tubes can shorten significantly the device length, although the output power decreases only a little. For example, the double vortical tubes (V2CC system) can generate 95.7% output power by 38.5% diameter, compared with the single tube (V1C system).