Problem # 3: Friction losses and volumetric discharge through a water piping system The cold-water faucet in a house is fed from a main water line through the following simplified piping system: A. A 160 ft long 4 in ID copper pipe leading from the main line to the faucet base B. Six 90° standard elbows C. One wide-open angle valve with no obstruction. D. The faucet which is considered to be composed of twd parts: 1) a half-open globe valve and 2) a nozzle having a diameter of 0.10 in. in the main line is 60 psig (virtually independent of flow) and the velocity there is The pressure negligible. At the faucet, the pressure is atmospheric. Assume the density of water to be 62.4 lbm/ft and the kinematic viscosity of water is 1.22 x10-5 ft2/s. Find the maximum volumetric flow rate of discharge from the faucet. This is trial and error problem. For a first trial, assume the Fanning friction factor to be 0.007. Use 5×10° ft for copper roughness. Neglect changes in elevation throughout the system. Assume turbulent flow and a=1.0. Make sure to check all assumptions at the end of your solution. Hint: There are three velocity components to think about in the system. The first one in the main line, the second one before the nozzle, and the third one after the nozzle.

Elements Of Electromagnetics
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Problem # 3: Friction losses and volumetric discharge through a water piping system
The cold-water faucet in a house is fed from a main water line through the following simplified
piping system:
A. A 160 ft long ¾ in ID copper pipe leading from the main line to the faucet base
B. Six 90° standard elbows
C. One wide-open angle valve with no obstruction
D. The faucet which is considered to be composed of twd parts: 1) a half-open globe valve
and 2) a nozzle having a diameter of 0.10 in.
The pressure in the main line is 60 psig (virtually independent of flow) and the velocity there is
negligible. At the faucet, the pressure is atmospheric. Assume the density of water to be 62.4
lbm/ft and the kinematic viscosity of water is 1.22 ×10³ ft²/s. Find the maximum volumetric
flow rate of discharge from the faucet. This is trial and error problem. For a first trial, assume the
Fanning friction factor to be 0.007. Use 5×106 ft for copper roughness. Neglect changes in
elevation throughout the system. Assume turbulent flow and a=1.0. Make sure to check all
assumptions at the end of your solution. Hint: There are three velocity components to think about
in the system. The first one in the main line, the second one before the nozzle, and the third one
after the nozzle.
Transcribed Image Text:Problem # 3: Friction losses and volumetric discharge through a water piping system The cold-water faucet in a house is fed from a main water line through the following simplified piping system: A. A 160 ft long ¾ in ID copper pipe leading from the main line to the faucet base B. Six 90° standard elbows C. One wide-open angle valve with no obstruction D. The faucet which is considered to be composed of twd parts: 1) a half-open globe valve and 2) a nozzle having a diameter of 0.10 in. The pressure in the main line is 60 psig (virtually independent of flow) and the velocity there is negligible. At the faucet, the pressure is atmospheric. Assume the density of water to be 62.4 lbm/ft and the kinematic viscosity of water is 1.22 ×10³ ft²/s. Find the maximum volumetric flow rate of discharge from the faucet. This is trial and error problem. For a first trial, assume the Fanning friction factor to be 0.007. Use 5×106 ft for copper roughness. Neglect changes in elevation throughout the system. Assume turbulent flow and a=1.0. Make sure to check all assumptions at the end of your solution. Hint: There are three velocity components to think about in the system. The first one in the main line, the second one before the nozzle, and the third one after the nozzle.
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