I need help correcting this part of the following problem, also include step-by-step solutions. Water flows at a rate of 2.4f * t ^ 3 / s in an old, rusty 7.8-in.-diameter pipe that has a relative roughness of 0.010. It is proposed that by inserting a smooth plastic liner with an inside diameter of 7.0 in. into the old pipe as shown in the Figure the pressure drop per mile can be reduced. Is it true that the lined pipe can carry the required 2.4f * t ^ 3 / s at a lower pressure drop than in the old pipe?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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I need help correcting this part of the following problem, also include step-by-step solutions.
Water flows at a rate of 2.4f * t ^ 3 / s in an old, rusty 7.8-in.-diameter pipe that has a relative roughness of 0.010. It is proposed that by inserting a smooth plastic liner with an inside diameter of 7.0 in. into the old pipe as shown in the Figure the pressure drop per mile can be reduced. Is it true that the lined pipe can carry the required 2.4f * t ^ 3 / s at a lower pressure drop than in the old pipe?

Pressure drop is a function of flow rate and roughness.
What is the mean velocity for the new 7.0 in. diameter pipe?
V₁ = 8.93
ft/s
What is the Reynolds number for the new 7.0 in diameter pipe?
Rei 43300
What is the friction factor for the new 7.0 in diameter pipe?
foi 0.0134
What is the pressure drop per mile for the new 7.0 in diameter pipe?
Δρο = i
psi/mile
0.0288
Transcribed Image Text:Pressure drop is a function of flow rate and roughness. What is the mean velocity for the new 7.0 in. diameter pipe? V₁ = 8.93 ft/s What is the Reynolds number for the new 7.0 in diameter pipe? Rei 43300 What is the friction factor for the new 7.0 in diameter pipe? foi 0.0134 What is the pressure drop per mile for the new 7.0 in diameter pipe? Δρο = i psi/mile 0.0288
Expert Solution
Step 1: Determine the given data

Given data:

diameter space of space pipe space left parenthesis straight D right parenthesis equals 7.8 space in equals 7.8 divided by 12 equals 0.65 space ft
discharge left parenthesis straight Q right parenthesis equals 2.4 space ft cubed divided by straight s
density space of space water left parenthesis straight rho right parenthesis equals 1000 kg divided by straight m cubed equals 62.4 space ft divided by straight s squared
Kinematic space viscosity space of space water left parenthesis straight nu right parenthesis equals 1.21 cross times 10 to the power of negative 5 end exponent space ft squared divided by straight s
diameter space of space the space new space pipe space left parenthesis straight D right parenthesis equals 7 space in equals 0.5833 space ft

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