The comparative performance of Roots type aircraft engine superchargers as affected by change in impeller speed and displacement (1929)
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by the equation DN (P2-P1) 33000 where D — Displacement per revolution #=R.P.M. P% — Pi = Pressure difference. The theoretical power is, therefore, directly proportional to the speed, and the power per unit of air delivered in unit time, assuming no losses, is the same regardless of speed or size.… … . A* Section, A-A Fig. 1.—N. A. 0. A. Roots type supercharger with gear end plate removed and supercharger cross section showing 4-inch impellers Tests covering a large range of impeller speeds have been made at the Langley Memorial Aeronautical Laboratory on three sizes of Roots type…
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