Water steadily flows from the basement to the second floor through a 0.75-in-diameter copper pipe. The volume flow rate is constant as Q = 12 gal/min (gpm). Water exits through a faucet having a diameter of 0.5 in. Consider all losses, and determine the pressure at (1) required to maintain the constant volume flow rate. If needed, use the tables below and the Moody chart on the last page. Water has a density of 1.94 slug/ft³ and a viscosity of 2.34 x 10-5 psf s, and the gravitational acceleration is g = 32.2 ft/s². The following conversion relations can be used: 1 ft = 12 in, 1 gal = 0.160544 ft3³.

Elements Of Electromagnetics
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2. Water steadily flows from the basement to the second floor through a 0.75-in-diameter copper pipe. The
volume flow rate is constant as Q = 12 gal/min (gpm). Water exits through a faucet having a diameter
of 0.5 in. Consider all losses, and determine the pressure at (1) required to maintain the constant volume
flow rate. If needed, use the tables below and the Moody chart on the last page. Water has a density of
1.94 slug/ft3 and a viscosity of 2.34 x 10-5 psf s, and the gravitational acceleration is g = 32.2 ft/s². The
following conversion relations can be used: 1 ft = 12 in, 1 gal = 0.160544 ft³.
KL
0.6
0.4
0.2
0
Q-12 gpm
Copper
Commercial steel or wrought iron
0.2
Pipe
Riveted steel
Cast iron
A₁
0.4
(1)
A₂/A₁
0.75-in-diameter
copper pipe
0.6
15 ft
10 ft
A
0.8
(6)
5 ft
(3)
1.0
(5)
10 ft 10 ft
(7) (8)
•∞•
10 ft
8
Threaded 90 elbows
Loss coefficients for pipe components KL
Elbow, regular 90°, flanged
0.3
Tee, flanged
1.0
Faucet
2.0
0.05
10
0.15
2
1.5
Ball valve, fully open
Globe, fully open
Gate, fully open
Angle, fully open
Elbow, regular 90°, threaded
Roughness element height (ft) Roughness element height (mm)
0.003-0.03
0.9 9.0
0.00085
0.000005
0.00015
KL
1.0
0.8
0.6
0.4
Wide open
globe valve
0.2
0
0.2
(2)
0.5 in
(diameter)
0.4
A₁/A₂
0.26
0.0015
0.045
0.6
My = KL Z
0.8
1.0
Figure 1: Loss coefficients for sudden contraction (left) and sudden expansion (right). In the figures, A denotes the
cross-sectional area, and the flow goes from the left to the right.
Transcribed Image Text:2. Water steadily flows from the basement to the second floor through a 0.75-in-diameter copper pipe. The volume flow rate is constant as Q = 12 gal/min (gpm). Water exits through a faucet having a diameter of 0.5 in. Consider all losses, and determine the pressure at (1) required to maintain the constant volume flow rate. If needed, use the tables below and the Moody chart on the last page. Water has a density of 1.94 slug/ft3 and a viscosity of 2.34 x 10-5 psf s, and the gravitational acceleration is g = 32.2 ft/s². The following conversion relations can be used: 1 ft = 12 in, 1 gal = 0.160544 ft³. KL 0.6 0.4 0.2 0 Q-12 gpm Copper Commercial steel or wrought iron 0.2 Pipe Riveted steel Cast iron A₁ 0.4 (1) A₂/A₁ 0.75-in-diameter copper pipe 0.6 15 ft 10 ft A 0.8 (6) 5 ft (3) 1.0 (5) 10 ft 10 ft (7) (8) •∞• 10 ft 8 Threaded 90 elbows Loss coefficients for pipe components KL Elbow, regular 90°, flanged 0.3 Tee, flanged 1.0 Faucet 2.0 0.05 10 0.15 2 1.5 Ball valve, fully open Globe, fully open Gate, fully open Angle, fully open Elbow, regular 90°, threaded Roughness element height (ft) Roughness element height (mm) 0.003-0.03 0.9 9.0 0.00085 0.000005 0.00015 KL 1.0 0.8 0.6 0.4 Wide open globe valve 0.2 0 0.2 (2) 0.5 in (diameter) 0.4 A₁/A₂ 0.26 0.0015 0.045 0.6 My = KL Z 0.8 1.0 Figure 1: Loss coefficients for sudden contraction (left) and sudden expansion (right). In the figures, A denotes the cross-sectional area, and the flow goes from the left to the right.
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