Low Temperature Stirling Engines



Theory 3 - Mechanism Effectiveness

The mechanism effectiveness is the ratio of energy that is transferred by the mechanical parts from the working fluid to the buffer module and reciprocally from the buffer module to the working fluid.

When accounting for the mechanism effectiveness we can get an estimate of the mechanical efficiency of any engine over a complete cycle.

 Assuming the mechanism effectiveness is a constant value E, we get following equalities:

  • The work effectively transferred from the working fluid to the buffer module is E*W+
  • The work transferred from the buffer module to the working fluid is W- . Due to losses in the mechanism the buffer module has to provide a quantity of energy W-' which is higher than W-. Actually we have W- = E*W-'

 

Finally the work balance for the shaft is

Wshaft = E*W+ - E*W-' = ... = EW - (1/E - E)W-

 We can deduce the overall mechanical efficiency of the engine using

 Emeca = Wshaft/W = ... = E - (1/E - E)W-/W


where W is the indicated work of the thermodynamic cycle (surface of the closed loop).

Therefore, two parameters have a great impact on the overall efficiency:

1) the ratio W-/W

2) the mechanism effectiveness E

 

Following graph shows the overall mechanical efficiency vs mechanism effectiveness E for  engines with different buffer pressures, resulting in different W-/W values:

Mechanical efficiency vs mechanism effectiveness

Note that for each W-/W value there is a lower limit of mechanical effectiveness, below this limit the engine will not run. As seen in previous chapter W- (and therefore W-/W) is strongly dependent on the choice of buffer pressure.






Theory index

Theory 1 - Generic schematic
Theory 2 - Buffer pressure
Theory 3 - Mechanism effectiveness
Theory 4 - Optimal buffer pressure of the ideal Stirling Cycle
Theory 5 - Output work of engines with ideal Stirling cycle
Theory 6 - Pressurization of ideal Stirling cycle engines
Theory 7 - Crossley cycles engines
Theory 8 - Various losses in real engines





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