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What excess pressure should a pump set up in an oil pipeline, if the distance between the pumping stations is 50 km? What is the pump's power? The pipeline should be assumed smooth, and the data of Problem 19.1 should be used. |
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Answer» `Re = (rho vd)/(eta) = (8 xx 10^2 xx 0.8 xx 1.1)/(10^(-2)) = 7 xx 10^4` This is much greater than 2320, and therefore the hydraulic friction coefficient should be determined from the EMPIRICAL formula `lambda = (0.316)/(root(4)(Re)) = 1.94 xx 10^(-2) ~~ 0.02` This enables us to find the pressure drop in the section using formula (30.32) To find the power, use formula `P = Fv= Delta p Sv`. NOTE that this calculation was made for an IDEALLY smooth pipe, in a real pipe the required pressure drop, and consequently the pump power, is substantially greater. |
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