Greenhill, G. (George), Sir, 1847-1927 · London and New York, Macmillan and Co. · leaf 387
density p^-ibecomes condensed in the nth stroke to the volume A + Gof air of density />„, so that (A + C)p„ = Ap„^i + Bp. 376 EFFECT OF CLEARANCE Writing this equation as a Geometiical Progression,B A ( B \ Pn or Pn_P \A + G.B_(B G \G {p-cp) A A + Gj The ultimate compression, when %=oo, is BjG… … Writing this relation Pn_ B fBP G G \G VV A + Gjexpanding by the Binomial Theorem, reducing, and lastlyputting C=0, we obtain, as before, But practically, as in diving operations, the pumpsare set to compress the air to the requisite number of ON THE COMPRESSION. 377 atmospheres B/C, by an…
Hydrostatics
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