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West number - Wikipedia, the free encyclopedia

West number

From Wikipedia, the free encyclopedia

The West number is a parameter used to characterize the performance of Stirling engines, and other Stirling systems. It is very similar to the Beale number where a larger number indicates higher performance; however, the West number includes temperature compensation. The West number is often used to approximate of the power output of a Stirling engine. The average value is (0.25) [1], but may range up to (0.35) [2], particularly for engines operating with a high temperature differential.

The West number may be defined as:

W_n = \frac{Wo}{P V N} \frac{(T_H + T_K)}{(T_H - T_K)}


where:

  • Wn is the West number
  • Wo is the power output of the engine (watts)
  • P is the mean average gas pressure (Pa) or (MPa, if volume is in cm3)
  • V is swept volume of the expansion space (m3) or (cm3, if pressure is in MPa)
  • N is the engine cycle frequency (Hz)
  • TH is the absolute temperature of the expansion space or heater (Kelvin)
  • TK is the absolute temperature of the compression space or cooler (Kelvin)

To estimate the power output of a new engine design, nominal values are assumed for the West number, pressure, swept volume and frequency, and the power is calculated as follows:

W_o = W_n P V N \frac{(T_H - T_K)}{(T_H + T_K)} [3]

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