UPSC Exam > UPSC Questions > An oil of viscosity 16 poise and specific gra...
Start Learning for Free
An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe?
Most Upvoted Answer
An oil of viscosity 16 poise and specific gravity 0.9 flows through a ...
Rate of Flow of Oil (Ipm)
To find the rate of flow (Q), we use the formula derived from the Darcy-Weisbach equation.
- Viscosity (μ) = 16 poise (convert to kg/m.s: 16 x 0.1 = 1.6 kg/m.s)
- Specific Gravity (SG) = 0.9 (Density (ρ) = SG x 1000 = 900 kg/m³)
- Diameter (D) = 60 mm = 0.06 m
- Pressure drop (ΔP) = 10 kN/m² = 10,000 N/m²
- Length of pipe (L) = 1 m
Using the Hagen-Poiseuille equation for laminar flow:
Q = (πD^4ΔP) / (128μL)
Substituting values:
Q = (π(0.06)⁴(10,000)) / (128(1.6)(1))
Calculating Q gives the volume flow rate in m³/s. To convert to liters per minute (Ipm), multiply by 1000 and then by 60.
Center Line Velocity
The center line velocity (V) can be calculated using:
V = Q / A
Where A = (πD²/4) is the cross-sectional area of the pipe.
Substituting the values:
A = (π(0.06)²/4)
Then, V = Q / A, where Q is in m³/s.
Total Frictional Drag Over 1.5 km of Pipe
The total frictional drag (F) can be calculated using:
F = ΔP × A × L
Where:
- L = 1.5 km = 1500 m
- A = πD²/4, from previous calculations.
Substituting the values:
F = (10,000 N/m²) × A × 1500 m
This will yield the total frictional drag in Newtons.
By performing these calculations, one can determine the required values for flow rate, center line velocity, and total frictional drag effectively.
To find the rate of flow (Q), we use the formula derived from the Darcy-Weisbach equation.
- Viscosity (μ) = 16 poise (convert to kg/m.s: 16 x 0.1 = 1.6 kg/m.s)
- Specific Gravity (SG) = 0.9 (Density (ρ) = SG x 1000 = 900 kg/m³)
- Diameter (D) = 60 mm = 0.06 m
- Pressure drop (ΔP) = 10 kN/m² = 10,000 N/m²
- Length of pipe (L) = 1 m
Using the Hagen-Poiseuille equation for laminar flow:
Q = (πD^4ΔP) / (128μL)
Substituting values:
Q = (π(0.06)⁴(10,000)) / (128(1.6)(1))
Calculating Q gives the volume flow rate in m³/s. To convert to liters per minute (Ipm), multiply by 1000 and then by 60.
Center Line Velocity
The center line velocity (V) can be calculated using:
V = Q / A
Where A = (πD²/4) is the cross-sectional area of the pipe.
Substituting the values:
A = (π(0.06)²/4)
Then, V = Q / A, where Q is in m³/s.
Total Frictional Drag Over 1.5 km of Pipe
The total frictional drag (F) can be calculated using:
F = ΔP × A × L
Where:
- L = 1.5 km = 1500 m
- A = πD²/4, from previous calculations.
Substituting the values:
F = (10,000 N/m²) × A × 1500 m
This will yield the total frictional drag in Newtons.
By performing these calculations, one can determine the required values for flow rate, center line velocity, and total frictional drag effectively.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe?
Question Description
An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe?.
An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe?.
Solutions for An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe? defined & explained in the simplest way possible. Besides giving the explanation of
An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe?, a detailed solution for An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe? has been provided alongside types of An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe? theory, EduRev gives you an
ample number of questions to practice An oil of viscosity 16 poise and specific gravity 0.9 flows through a horizontal pipe of 60 mm diameter. If the pressure drops at the rate of 10 kN/m² per meter length, determine: i) Rate of flow of oil in Ipm ii) The center line velocity. iii) Total frictional drag over 1.5 km of pipe? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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