Crude oil (p = 870 kg/m³, μ = 8x10-³ kg/(m-s)) is to be pumped out of an oil tanker into a storage tank just onshore as shown below: 45° bend K = 0.2. A pump L₂ = 200 m th = 50 m

Structural Analysis
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Chapter2: Loads On Structures
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Crude oil (p= 870 kg/m³, µ = 8x10-³ kg/(m-s)) is to be pumped out of an oil tanker into a storage
tank just onshore as shown below:
2
sharp edge inlet
K = 0.5
45° bend
K = 0.2
L₂=
= 200 m
pump
L₁ = 100 m
th= 50 m
The 6 inch nominal diameter schedule 40 pipes are made of rusted steel. The pump is capable of
generating a pressure head of 100 m.
For any iterative solutions, a single iteration will be good enough, but indicate if and how you
would iterate to a converged solution.
(a) Assuming the flow is turbulent, what is the maximum flowrate through this pipe?
(b) Is the assumption of turbulent flow correct?
(c) Can you ignore the minor losses?
(d) The pump will need to be replaced soon. If the pipe is also replaced with new commercial
steel piping of the same size, how much smaller (in terms of power) can the new pump be
relative to the old one to maintain the same maximum flow rate?
Transcribed Image Text:Crude oil (p= 870 kg/m³, µ = 8x10-³ kg/(m-s)) is to be pumped out of an oil tanker into a storage tank just onshore as shown below: 2 sharp edge inlet K = 0.5 45° bend K = 0.2 L₂= = 200 m pump L₁ = 100 m th= 50 m The 6 inch nominal diameter schedule 40 pipes are made of rusted steel. The pump is capable of generating a pressure head of 100 m. For any iterative solutions, a single iteration will be good enough, but indicate if and how you would iterate to a converged solution. (a) Assuming the flow is turbulent, what is the maximum flowrate through this pipe? (b) Is the assumption of turbulent flow correct? (c) Can you ignore the minor losses? (d) The pump will need to be replaced soon. If the pipe is also replaced with new commercial steel piping of the same size, how much smaller (in terms of power) can the new pump be relative to the old one to maintain the same maximum flow rate?
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