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Question: estimation of pressure drops in annular flow for flow in...

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Estimation of pressure drops in annular flow. For flow in an annulus formed by cylindri- cal surfaces of diameters D and KD (with K < 1) the friction factors for laminar and turbulent flow are Laminar 16 Re (6A.7-1) lo(Re)- (6A.7-2) Turbulent in which the Reynolds number is defined by D(1-к)(6.) (6A.7-3) The values of G, H, and K are given as: 0.00 0.05 3.747 0 4.000 010 3.736 0.239 .20 3.746 0.1 0.400 0.293 1.000 0.7419 0.7161 0.7021 0.6930 0.6820 0.6757 0.6719 0.6695 0.6681 0.6672 0.6668 .15 3.7380 0.208 .30 3.771 0 0.40 0.50 0.60 0.70 0.80 0.90 1.00 0.154 0.131 3.801 3.833 3.866 3.900 3.933 3.967 4.000 0.093 0.076 0.060 0. 0.046 0.031 0.6667 Equation 6A.7-2 is believed to be capable of reproducing the experimental data within about 3% up to Reynolds numbers of 20,000 (a) Verify that, for developed laminar flow, Es.6A.7-1 and 6A.7-3 with the tabulated K values are consistent with Eq. 2.4-17(b) An annular duct is formed from cylindrical surfaces of diameters 6 in. and 15 in. It is desired to pump water at 60 F at a rate of 1500 cu ft per second. How much pressure drop is required (c) Repeat (b) using the mean hydraulic radius empiricism. 8yL 1-2 In (1/x) (2.4-17)

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