Problem 4. Water flows from a very large tank through a pipe as shown. The dark liquid in the manometer is mercury. The water at the top of the tank, the water at the exit, and the mercury at the top of the manometer leg are all exposed to air at atmospheric pressure. Estimate (a) the pressure drop in the pipe, (b) the water velocity in the pipe, and (c) the volumetric flowrate. For your analysis, assume inviscid flow along a streamline from the top interface to a location at the center of the pipe just above the manometer tube. Note that based on the manometer reading, there is viscous flow in the pipe between this point and the exit. large tank of water 4.0 m 5.0 cm pipe flow 75 cm 15 cm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 4. Water flows from a very large tank through a pipe as shown. The dark liquid in the manometer is
mercury. The water at the top of the tank, the water at the exit, and the mercury at the top of the manometer leg
are all exposed to air at atmospheric pressure. Estimate (a) the pressure drop in the pipe, (b) the water velocity in
the pipe, and (c) the volumetric flowrate. For your analysis, assume inviscid flow along a streamline from the top
interface to a location at the center of the pipe just above the manometer tube. Note that based on the
manometer reading, there is viscous flow in the pipe between this point and the exit.
large
tank of
water
4.0 m
5.0 cm
pipe
flow
75 cm
15 cm
Transcribed Image Text:Problem 4. Water flows from a very large tank through a pipe as shown. The dark liquid in the manometer is mercury. The water at the top of the tank, the water at the exit, and the mercury at the top of the manometer leg are all exposed to air at atmospheric pressure. Estimate (a) the pressure drop in the pipe, (b) the water velocity in the pipe, and (c) the volumetric flowrate. For your analysis, assume inviscid flow along a streamline from the top interface to a location at the center of the pipe just above the manometer tube. Note that based on the manometer reading, there is viscous flow in the pipe between this point and the exit. large tank of water 4.0 m 5.0 cm pipe flow 75 cm 15 cm
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