The ideal isothermal analysis is often called the Schmidt analysis after Gustav Schmidt (Sep 16,1826 - Jan 27, 1883) who published it in 1871 and provided a closed form solution for the case of sinusoidally varying volumes of the expansion and the compression space. What distinguished the ideal isothermal analysis from others like the ideal adiabatic analysis is that it makes the assumption of perfect heat transfer from the working gas to/from the containing solid surfaces in the following sense : - The heat transfer conditions inside the
expansion and the heater space are such that both spaces are at the same
hot temperature, T
_{h}, at all times. - The heat transfer conditions inside the
compression and the cooler space are such that both spaces are at the same
cold temperature, T
_{c}, at all times. - The heat transfer conditions inside the regenerator are sufficient such
that the temperature inside the regenerator varies linearly from
T
_{c}to T_{h}.
In addition, the following two assumptions are made : - An ideal gas with constant specific heats is used as working fluid.
- The instantaneous pressure, p, is the same everywhere inside the
engine and varies only with time.
An immediate consequence of these assumptions, due to the law of conservation of energy, is that the cooler and heater space each have zero net heat transfer into/out of the working gas during a complete cycle. The task of heat transfer into the gas is provided by the expansion space and heat removal is conducted by the compression space. Except maybe for LTD Stirling engines (Low Temperature Differential) these spaces are clearly not designed for this purpose. |

Last revised: 12/05/14