Relative Roughness of pipes - Solving a Three Reservoir Problem

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The discussion focuses on solving a three-reservoir problem involving the calculation of relative roughness, Reynolds number, and friction factors for various pipelines. Participants clarify that relative roughness should be calculated as the ratio of pipeline roughness to pipe diameter, emphasizing that values must be less than 0.05. A misunderstanding regarding units was identified, where pipe diameter was incorrectly noted in meters instead of millimeters. After correcting the unit error, the user successfully calculated the discharges and their directions. The conversation highlights the importance of accurate unit conversion in fluid dynamics calculations.
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Relative Roughness of pipes!

Homework Statement



Here is the Data:

Reservoir Water Entry Pipeline Pipeline Pipeline
Number Level Coeff. Length Diameter Roughness
m [AHD] [m] [m] [mm]
0 20.665 0.814 432.453 1.222 0.089
1 17.787 0.544 111.972 1.361 0.147
2 11.166 0.583 201.258 1.171 0.076


Homework Equations


I need to solve this three reservoir problem, but I'm stuck in finding the Reynold's number and Friction factor from Relative densities. Relative roughness is just (Pipeline Roughness/Pipe Diameter). From Moody Diagram, the highest Relative roughness is 0.05 and I can't see anything higher than that, but the values I get are all higher than 0.05 for relative roughness.


The Attempt at a Solution


Is there a solution to this?
 
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Hello Xaan, you're relative roughnesses are smaller than 0.05. Look at the unit of relative roughness and the ones you are given in the table. That should clarify one of your problems. The one for calculating the Reynolds number is something else. Do you know the formula for this? Can you give some more information on how this system looks like? It is a bit unclear for me to understand.
 
coomast said:
Hello Xaan, you're relative roughnesses are smaller than 0.05. Look at the unit of relative roughness and the ones you are given in the table. That should clarify one of your problems. The one for calculating the Reynolds number is something else. Do you know the formula for this? Can you give some more information on how this system looks like? It is a bit unclear for me to understand.

Yes I realized that relative roughnesses have to be smaller than 0.05. I had to go back and double check it from where I got the info from, and they told me the units they used was wrong. Instead of mm, they put m for pipe diameter. lol so I solved it and I go all the dischages and their directions:

Q1 + Q2 = Q3

*cheerz!*
 
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