A large tank (left side), filled with pressurized water, fills another large tank (right side) open to atmosphere. Originally, the valve is shut, causing the pipe upstream of the valve to be flooded with water, and the pipe and tank downstream of the valve to be flooded with air. The diameters of the tanks are very large relative to the diameter of the pipe. When opened, the valve offers negligible resistance to flow. Use the Bernoulli Equation to solve the following problems. P ATM PATM 100kPa 1.2kg/m³

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A large tank (left side), filled with pressurized water, fills another large tank (right
side) open to atmosphere. Originally, the valve is shut, causing the pipe upstream of
the valve to be flooded with water, and the pipe and tank downstream of the valve
to be flooded with air. The diameters of the tanks are very large relative to the
diameter of the pipe. When opened, the valve offers negligible resistance to flow.
Use the Bernoulli Equation to solve the following problems.
10m
P = 200kPa
p = 1000kg/m³
μ = 0.001 Pa s
8.2m
0.0m
20m
18.4m
38.6m
Valve
8m
12m
P ‚= 100kPa
ATM
PATM 1.2kg/m³
p = 1000kg/m³
μ = 0.001 Pa s
Assume the water in the first tank maintains its height and pressure. When the
valve is opened, how high will the water in the second tank reach, relative to the
base of the second tank? (HINT: If the tanks are very large, then practically
speaking, what is the velocity of the fluid they contain?)
Frictionless pipe
D = 5cm
Transcribed Image Text:A large tank (left side), filled with pressurized water, fills another large tank (right side) open to atmosphere. Originally, the valve is shut, causing the pipe upstream of the valve to be flooded with water, and the pipe and tank downstream of the valve to be flooded with air. The diameters of the tanks are very large relative to the diameter of the pipe. When opened, the valve offers negligible resistance to flow. Use the Bernoulli Equation to solve the following problems. 10m P = 200kPa p = 1000kg/m³ μ = 0.001 Pa s 8.2m 0.0m 20m 18.4m 38.6m Valve 8m 12m P ‚= 100kPa ATM PATM 1.2kg/m³ p = 1000kg/m³ μ = 0.001 Pa s Assume the water in the first tank maintains its height and pressure. When the valve is opened, how high will the water in the second tank reach, relative to the base of the second tank? (HINT: If the tanks are very large, then practically speaking, what is the velocity of the fluid they contain?) Frictionless pipe D = 5cm
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