Problem 2: Calculation of the Flow Rate in a Pipeline Figure 1 shows a pipeline which delivers liquid at constant temperature T from point 1, where the pressure is p, and the elevation is z, to point 2, where the pressure is p2 and the elevation 2₂. The effective length of the pipeline, including fittings and expansion losses, is L and its diameter is D. P = P₁ 44 2 -P= P₂ ܕܐ=ܐ Z= Z₁ Figure 1. Liquid Flow in a Pipeline (a) Calculate the flow rate q (in gal/min) in the pipeline for water at 60°F. The pipeline is nominal 6-inch diameter schedule 40 commercial steel pipe with L = 5000 ft, p= 150 psig, pz = 0 psig, z; = 0 ft, z₂ = 300 ft. (b) Do the calculations for several higher values of p: (200 psig max). Plot the calculated flow rate as a function of pressure difference. Based on the plot, determine the minimum pressure difference needed to start the flow.

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Problem 2: Calculation of the Flow Rate in a Pipeline
Figure 1 shows a pipeline which delivers liquid at constant temperature T from point 1, where the pressure is p, and the
elevation is z, to point 2, where the pressure is p2 and the elevation 2₂. The effective length of the pipeline, including
fittings and expansion losses, is L and its diameter is D.
P = P₁
44
2
-P= P₂
ܕܐ=ܐ
Z= Z₁
Figure 1. Liquid Flow in a Pipeline
(a) Calculate the flow rate q (in gal/min) in the pipeline for water at 60°F. The pipeline is nominal 6-inch diameter
schedule 40 commercial steel pipe with L = 5000 ft, p= 150 psig, pz = 0 psig, z; = 0 ft, z₂ = 300 ft.
(b) Do the calculations for several higher values of p: (200 psig max). Plot the calculated flow rate as a function of
pressure difference. Based on the plot, determine the minimum pressure difference needed to start the flow.
Transcribed Image Text:Problem 2: Calculation of the Flow Rate in a Pipeline Figure 1 shows a pipeline which delivers liquid at constant temperature T from point 1, where the pressure is p, and the elevation is z, to point 2, where the pressure is p2 and the elevation 2₂. The effective length of the pipeline, including fittings and expansion losses, is L and its diameter is D. P = P₁ 44 2 -P= P₂ ܕܐ=ܐ Z= Z₁ Figure 1. Liquid Flow in a Pipeline (a) Calculate the flow rate q (in gal/min) in the pipeline for water at 60°F. The pipeline is nominal 6-inch diameter schedule 40 commercial steel pipe with L = 5000 ft, p= 150 psig, pz = 0 psig, z; = 0 ft, z₂ = 300 ft. (b) Do the calculations for several higher values of p: (200 psig max). Plot the calculated flow rate as a function of pressure difference. Based on the plot, determine the minimum pressure difference needed to start the flow.
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