Abstract
This paper contains the derivation of an expression for the ideal work of compression in a Root's blower, which takes into account the inherent irreversibility of the process. Moreover, the expression takes into account the finite delivery volume, and it is shown that the conventional formula is contained in the more accurate formula as a limiting case for infinite delivery volume.
Formulae are derived which enable the delivery temperature to be calculated for given values of overall pressure ratio and for several values of the pocket to delivery-volume ratio. Graphs of power coefficients are given, so that the calculation of horse-power is facilitated. The horse-power can be calculated either for a given volume of free air delivered or for the volume of discharge required.
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