A Stirling engine uses 30 helium 20 argon and 50 nitrogen by

A Stirling engine uses 30% helium, 20% argon, and 50% nitrogen (by volume) as the working fluid. If the piston has a maximum volume of 1L, a compression ratio of 6, and a peak temperature of 700 K, find the thermal efficiency and net work (kJ/kg) of the cycle. Using the same limits (points after each process), assume that only 70% of heat passing through the regenerator is recovered to the hot side and the additional 30% is taken from the surroundings. What is the efficiency of this system now? Compare this to the Carnot limit.

Solution

A Stirling engine is a heat engine that operates by cyclic compression and expansion of air or other gas (the working fluid) at different temperatures, such that there is a net conversion of heat energy to mechanical work.^[1][2] More specifically, the Stirling engine is a closed-cycle regenerative heat engine with a permanently gaseous working fluid. Closed-cycle, in this context, means a thermodynamic system in which the working fluid is permanently contained within the system, and regenerative describes the use of a specific type of internal heat exchanger and thermal store, known as the regenerator. The inclusion of a regenerator differentiates the Stirling engine from other closed cycle hot air engines.

Originally conceived in 1816 as an industrial prime mover to rival the steam engine, its practical use was largely confined to low-power domestic applications for over a century

Stirling engines have a high efficiency compared to steam engines,being able to reach 50% efficiency. They are also capable of quiet operation and can use almost any heat source. The heat energy source is generated external to the Stirling engine rather than by internal combustion as with the Otto cycle or Diesel cycle engines. Because the Stirling engine is compatible with alternative and renewable energy sources it could become increasingly significant as the price of conventional fuels rises, and also in light of concerns such as depletion of oil supplies and climate change. This type of engine is currently generating interest as the core component of micro combined heat and power (CHP) units, in which it is more efficient and safer than a comparable steam engine. However, it has a low power-to-weight ratio rendering it more suitable for use in static installations where space and weight are not at a premium.