And what happens in a reduced form of reality:
What happens in practice is somewhat different and it is a truism that no Stirling engine has ever operated on a Stirling cycle as described above. The real situation is closer to the following:
(a) The working fluid is compressed in the cold space. All the spaces, including the thermal matrix (regenerator) are interconnected in a Stirling engine and hence fluid in both regenerator and any clearance volume in the hot space is also compressed. The cold space is cooled as much as possible during this process but, since heat transfer requires a temperature gradient, the cooling is not even and the fluid cannot achieve the same temperature as the cold sink, it is also not kept at a constant temperature. The fluid within the regenerator and hot space clearance volume becomes warmer as the result of the compression and the regenerator temperature profile is affected by this warming.
(b) Fluid transfers to the hot space via the regenerator and is heated by the regenerator. As this happens the pressure rises, due to the interconnection of the spaces the fluid within the cold space is compressed before entering the regenerator and the temperature of this fluid rises due to the compression. On passage through the regenerator the regenerator temperature profile is further corrupted by this temperature rise. Fluid that has already passed to the hot space is further compressed by the increase in pressure and also becomes hotter, since the regenerator has already warmed the fluid to the hot space temperature the fluid within the hot space is now hotter than the hot space walls.
(c) The fluid is expanded within the hot space. Since the fluid in this space is initially overheated, heat initially leaves the fluid by conduction to the walls, as the temperature falls some heat is conducted into the gas, this heating is not evenly distributed or at a constant temperature.
(d) The fluid is now transferred back to the cold space via the regenerator. As the temperature drops on passage through the regenerator the pressure drops, this pressure drop causes further expansion of the remaining fluid in the hot space lowering its temperature, passage of this cooled fluid further corrupts the temperature profile within the regenerator. The pressure drop also affects fluid in the cold space which expands and becomes over-cooled resulting in a lower rate of heat rejection through the cold space walls.
Edited By Jonathan Howes on 12/04/2010 17:57:36
Edited By Jonathan Howes on 12/04/2010 18:03:29