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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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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
20m
230kPa
151kPa
6kPa
386kPa
Valve
8m
12m
PT = 100kPa
= 1.2kg/m³
ATM
PATM
p = 1000kg/m³
μ = 0.001 Pa s
Frictionless pipe
D = 5cm
Assume the water in the first tank maintains its height and pressure. During
operation, a pressure gauge located at the valve reads an absolute static pressure
of 190kPa. At this instant the height of the water in tank 2 is 8.2m relative to its
base. What is the pressure of the water just before it enters tank 2? (HINT: If the
tanks are very large, practically speaking what is the velocity of the fluid they
contain?)
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 20m 230kPa 151kPa 6kPa 386kPa Valve 8m 12m PT = 100kPa = 1.2kg/m³ ATM PATM p = 1000kg/m³ μ = 0.001 Pa s Frictionless pipe D = 5cm Assume the water in the first tank maintains its height and pressure. During operation, a pressure gauge located at the valve reads an absolute static pressure of 190kPa. At this instant the height of the water in tank 2 is 8.2m relative to its base. What is the pressure of the water just before it enters tank 2? (HINT: If the tanks are very large, practically speaking what is the velocity of the fluid they contain?)
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