A pipe needs to be designed which has to supply water required for one of the stages in the ethyl acetate production process. You need to determine minimum diameter this cylindrical pipe needs to have, based on following conditions:
1) Volume flowrate of water in the pipe = 0.005 m3/s
2) Maximum speed of water in the pipe = 2 m/s
Pipes of only specific diameters are available in the industry and client does not want to get pipe custom made. So based on minimum pipe diameter calculated, you will have to select an appropriate commercially available pipe diameter.
(Assume water to behave as ideal fluid)
Start Working
You will now begin working on the pipe diameter calculations. This assignment should ideally take 10 minutes.
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How to find pipe diameter?
Step 1
Find minimum cross-sectional area of pipe needed, using given volume flowrate and maximum speed of water in the pipe
Step 2
From cross-sectional area find the diameter of pipe needed, using simple geometry
Got it!
Report
Determining diameter of pipe needed
Conditions Given
Water volume flowrate in pipe : 0.005 m3/s
Maximum water speed in pipe : 2 m/s
View Instructions
Fluid volume flowrate and speed
Hint
d = length of volume of fluid passing through a cross-section of pipe in time “t”
A = cross-sectional area of pipe
Volume flowrate of fluid =
volume of fluid passing through a cross-sectional area of pipe in unit time
= V
t
= Axd
t
= Axd
(Area of pipe is to be constant)
t
= A x speed of fluid
(Speed of fluid is the length of volume of fluid passing through a cross-sectional area of pipe in unit time)
Time is up!
This assignment could have been solved in 10 minutes. You can still continue to work on it, though deadlines are important in industry.
How to find pipe diameter?
Step 1
Find minimum cross-sectional area of pipe needed, using given volume flowrate and maximum speed of water in the pipe
Step 2
From cross-sectional area find the diameter of pipe needed, using simple geometry
Got it!