Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Three identical pipes of length l, diameter ...
Start Learning for Free
Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?
- a)1.55 d
- b)1.4 d
- c)3 d
- d)1.732 d
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Three identical pipes of length l, diameter d and friction factor f a...
Most Upvoted Answer
Three identical pipes of length l, diameter d and friction factor f a...
To find the size of a pipe equivalent to three identical pipes connected in parallel, we need to consider the hydraulic diameter and the hydraulic resistance.
Hydraulic Diameter:
The hydraulic diameter (Dh) is a measure of the cross-sectional area of flow inside the pipe. For a circular pipe, the hydraulic diameter is equal to the pipe diameter (d). In this case, all the pipes are identical, so the hydraulic diameter is also d.
Hydraulic Resistance:
The hydraulic resistance of a pipe is determined by the friction factor (f) and the pipe length (L). The resistance is given by the Darcy-Weisbach equation:
ΔP = f * (L / Dh) * (ρ * V^2 / 2)
Where:
ΔP = Pressure drop
L = Length of the pipe
Dh = Hydraulic diameter
ρ = Fluid density
V = Average velocity of the fluid
Since the pipes are identical, the length (L) and the friction factor (f) are the same for all three pipes.
Equivalent Pipe:
To find the equivalent pipe, we need to consider the combined hydraulic diameter and hydraulic resistance of the three pipes connected in parallel.
1. Hydraulic Diameter:
Since the pipes are connected in parallel, the equivalent hydraulic diameter is the same as the individual hydraulic diameter, which is d.
2. Hydraulic Resistance:
For pipes connected in parallel, the equivalent resistance is given by the reciprocal of the sum of the reciprocals of the individual resistances. In this case, since all the pipes are identical, the individual resistances are the same.
1/Requiv = 1/R1 + 1/R2 + 1/R3
Where:
Requiv = Equivalent resistance
R1, R2, R3 = Individual resistances of the three pipes connected in parallel
Since the pipes are identical, the individual resistances are the same, and we can rewrite the equation as:
1/Requiv = 3/R
Simplifying the equation, we find:
Requiv = R/3
Therefore, the equivalent resistance is one-third of the individual resistance.
Conclusion:
Based on the hydraulic diameter and hydraulic resistance analysis, the size of a pipe equivalent to the three identical pipes connected in parallel is 1/3 of the original pipe size. Therefore, the correct answer is option A: 1.55d.
Hydraulic Diameter:
The hydraulic diameter (Dh) is a measure of the cross-sectional area of flow inside the pipe. For a circular pipe, the hydraulic diameter is equal to the pipe diameter (d). In this case, all the pipes are identical, so the hydraulic diameter is also d.
Hydraulic Resistance:
The hydraulic resistance of a pipe is determined by the friction factor (f) and the pipe length (L). The resistance is given by the Darcy-Weisbach equation:
ΔP = f * (L / Dh) * (ρ * V^2 / 2)
Where:
ΔP = Pressure drop
L = Length of the pipe
Dh = Hydraulic diameter
ρ = Fluid density
V = Average velocity of the fluid
Since the pipes are identical, the length (L) and the friction factor (f) are the same for all three pipes.
Equivalent Pipe:
To find the equivalent pipe, we need to consider the combined hydraulic diameter and hydraulic resistance of the three pipes connected in parallel.
1. Hydraulic Diameter:
Since the pipes are connected in parallel, the equivalent hydraulic diameter is the same as the individual hydraulic diameter, which is d.
2. Hydraulic Resistance:
For pipes connected in parallel, the equivalent resistance is given by the reciprocal of the sum of the reciprocals of the individual resistances. In this case, since all the pipes are identical, the individual resistances are the same.
1/Requiv = 1/R1 + 1/R2 + 1/R3
Where:
Requiv = Equivalent resistance
R1, R2, R3 = Individual resistances of the three pipes connected in parallel
Since the pipes are identical, the individual resistances are the same, and we can rewrite the equation as:
1/Requiv = 3/R
Simplifying the equation, we find:
Requiv = R/3
Therefore, the equivalent resistance is one-third of the individual resistance.
Conclusion:
Based on the hydraulic diameter and hydraulic resistance analysis, the size of a pipe equivalent to the three identical pipes connected in parallel is 1/3 of the original pipe size. Therefore, the correct answer is option A: 1.55d.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Top Courses for Civil Engineering (CE)View all
Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer?
Question Description
Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer?.
Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Three identical pipes of length l, diameter d and friction factor f are connected in parallel between two reservoirs. What is the size of a pipe of length l and of the same friction factor f equivalent to the above pipe?a) 1.55 db) 1.4 dc) 3 dd) 1.732 dCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup