GATE Exam > GATE Questions > In a 0.18 m, 250 m long horizontal pipe a lu...
Start Learning for Free
In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) is
- a)2.25
- b)2.4
Correct answer is between '2.25,2.4'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific...
Given,
View all questions of this test
Length of pipe, L = 250 m
Diameter of pipe, D = 0.18 m
Dynamic viscosity, μ = 0.15 Pa-s
Flow rate, Q = 0.04 m3/s
The pressure drop in pipe is given by
Average velocity, 
The power required to maintain the flow,
P = Q× ΔP = 0.04×58148.15 = 2325.926 W = 2.326 KW
Most Upvoted Answer
In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific...
Given Data:
- Length of pipe (L): 250 m
- Diameter of pipe (d): 0.18 m
- Specific gravity of lubricating oil (ρ): 0.9
- Dynamic viscosity of oil (μ): 0.15 Pa-s
- Flow rate (Q): 0.04 m3/s
Calculations:
1. Calculate the cross-sectional area of the pipe:
- Area (A) = π(d/2)2
= π(0.18/2)2
= 0.02545 m2
2. Calculate the velocity of oil in the pipe:
- Velocity (V) = Q/A
= 0.04 / 0.02545
= 1.571 m/s
3. Calculate the Reynolds number:
- Reynolds number (Re) = (ρ * V * d) / μ
= (0.9 * 1.571 * 0.18) / 0.15
= 1.899
4. Calculate the friction factor (f) using the Colebrook equation or Moody chart corresponding to Re and pipe roughness.
5. Calculate the head loss (hL) using the Darcy-Weisbach equation:
- Head loss (hL) = f * (L/d) * (V^2 / 2g)
6. Calculate the power required to maintain the flow:
- Power = ρ * Q * g * hL / 1000 (to convert W to KW)
Result:
The power required to maintain the flow is between 2.25 KW and 2.4 KW.
- Length of pipe (L): 250 m
- Diameter of pipe (d): 0.18 m
- Specific gravity of lubricating oil (ρ): 0.9
- Dynamic viscosity of oil (μ): 0.15 Pa-s
- Flow rate (Q): 0.04 m3/s
Calculations:
1. Calculate the cross-sectional area of the pipe:
- Area (A) = π(d/2)2
= π(0.18/2)2
= 0.02545 m2
2. Calculate the velocity of oil in the pipe:
- Velocity (V) = Q/A
= 0.04 / 0.02545
= 1.571 m/s
3. Calculate the Reynolds number:
- Reynolds number (Re) = (ρ * V * d) / μ
= (0.9 * 1.571 * 0.18) / 0.15
= 1.899
4. Calculate the friction factor (f) using the Colebrook equation or Moody chart corresponding to Re and pipe roughness.
5. Calculate the head loss (hL) using the Darcy-Weisbach equation:
- Head loss (hL) = f * (L/d) * (V^2 / 2g)
6. Calculate the power required to maintain the flow:
- Power = ρ * Q * g * hL / 1000 (to convert W to KW)
Result:
The power required to maintain the flow is between 2.25 KW and 2.4 KW.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer?
Question Description
In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer?.
In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer?.
Solutions for In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer?, a detailed solution for In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer? has been provided alongside types of In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) isa)2.25b)2.4Correct answer is between '2.25,2.4'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup