Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > The head loss due to friction in a pipe of 1 ...
Start Learning for Free
The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is
(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)
(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)
- a)1.5 m
- b)0.5 m
- c)1 m
- d)2 m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The head loss due to friction in a pipe of 1 m diameter and 1.5 km lon...
The head loss due to friction in a pipe can be calculated using the Darcy-Weisbach equation:
hL = f * (L / D) * (V^2 / (2 * g))
Where:
hL = head loss due to friction
f = friction factor
L = length of the pipe
D = diameter of the pipe
V = velocity of the fluid
g = acceleration due to gravity
Given:
Diameter of the pipe (D) = 1 m
Length of the pipe (L) = 1.5 km = 1500 m
Velocity of the fluid (V) = 1 m/s
To calculate the head loss, we need to determine the friction factor. The friction factor depends on the Reynolds number (Re) and the relative roughness (ε/D) of the pipe.
Re = (V * D) / ν
Where:
ν = kinematic viscosity of water (assumed to be 1 x 10^-6 m^2/s for water at 20°C)
Relative roughness (ε/D) is the ratio of the roughness height (ε) to the diameter of the pipe (D). For a smooth pipe, ε/D is typically very small (around 0.0001).
First, let's calculate the Reynolds number:
Re = (1 * 1) / (1 x 10^-6) = 1 x 10^6
Assuming the pipe is smooth, we can use the Moody diagram to estimate the friction factor. For a Reynolds number of 1 x 10^6 and a relative roughness of 0.0001, the Moody diagram gives a friction factor of approximately 0.02.
Now, we can calculate the head loss:
hL = 0.02 * (1500 / 1) * (1^2 / (2 * 9.81))
hL ≈ 15.26 m
Therefore, the head loss due to friction in the given pipe is approximately 15.26 meters.
hL = f * (L / D) * (V^2 / (2 * g))
Where:
hL = head loss due to friction
f = friction factor
L = length of the pipe
D = diameter of the pipe
V = velocity of the fluid
g = acceleration due to gravity
Given:
Diameter of the pipe (D) = 1 m
Length of the pipe (L) = 1.5 km = 1500 m
Velocity of the fluid (V) = 1 m/s
To calculate the head loss, we need to determine the friction factor. The friction factor depends on the Reynolds number (Re) and the relative roughness (ε/D) of the pipe.
Re = (V * D) / ν
Where:
ν = kinematic viscosity of water (assumed to be 1 x 10^-6 m^2/s for water at 20°C)
Relative roughness (ε/D) is the ratio of the roughness height (ε) to the diameter of the pipe (D). For a smooth pipe, ε/D is typically very small (around 0.0001).
First, let's calculate the Reynolds number:
Re = (1 * 1) / (1 x 10^-6) = 1 x 10^6
Assuming the pipe is smooth, we can use the Moody diagram to estimate the friction factor. For a Reynolds number of 1 x 10^6 and a relative roughness of 0.0001, the Moody diagram gives a friction factor of approximately 0.02.
Now, we can calculate the head loss:
hL = 0.02 * (1500 / 1) * (1^2 / (2 * 9.81))
hL ≈ 15.26 m
Therefore, the head loss due to friction in the given pipe is approximately 15.26 meters.
Free Test
FREE
| Start Free Test |
Community Answer
The head loss due to friction in a pipe of 1 m diameter and 1.5 km lon...
Concept:
Head loss due to friction is given by:
d = diameter of pipe, f = friction factor, L = length of pipe, and v = velocity of flow
Calculation:
Given:
d = 1 m, L = 1.5 km = 1500 m, v = 1 m/s, f = 0.02, g = 10 m/s2
Head loss due to friction is
h = 1.5 m
Head loss due to friction is given by:
d = diameter of pipe, f = friction factor, L = length of pipe, and v = velocity of flow
Calculation:
Given:
d = 1 m, L = 1.5 km = 1500 m, v = 1 m/s, f = 0.02, g = 10 m/s2
Head loss due to friction is
h = 1.5 m
|
Explore Courses for Civil Engineering (CE) exam
|
|
Top Courses for Civil Engineering (CE)View all
Question Description
The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer?.
The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect 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 The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The head loss due to friction in a pipe of 1 m diameter and 1.5 km long when water is flowing with a velocity of 1 m/s is(Darcy’s friction factor f = 0.02 and acceleration due to gravity g = 10 m/s2)a)1.5 mb)0.5 mc)1 md)2 mCorrect 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
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily