What is the pressure difference across the valve prior to being opened? The pressure at the inlet pipe into tank 2 can be taken to be atmosphere. Take the height of the valve to be 8m

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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What is the pressure difference across the valve prior to being opened? The pressure at the inlet pipe into tank 2 can be taken to be atmosphere. Take the height of the valve to be 8m. (HINT: if the valve is shut, what is the velocity everywhere?)

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 answer the following problems.
10m
P = 200kPa
p = 1000kg/m³
μ = 0.001 Pa s
20m
Valve
8m
T
12m
P = 100kPa
ATM
PATM 1.2kg/m³
=
p = 1000kg/m³
μ = 0.001 Pa s
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 answer the following problems. 10m P = 200kPa p = 1000kg/m³ μ = 0.001 Pa s 20m Valve 8m T 12m P = 100kPa ATM PATM 1.2kg/m³ = p = 1000kg/m³ μ = 0.001 Pa s Frictionless pipe D = 5cm
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