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An oil of viscosity 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If the pressure drop in 100 m length of the pipe is 1800 KN/m2, determine the: (iv)
(V)
(vi)?
(V)
(vi)?
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An oil of viscosity 9 poise and specific gravity 0.9 is flowing throug...
Given data:
- Viscosity (µ) = 9 poise
- Specific gravity (SG) = 0.9
- Pipe diameter (D) = 60 mm
- Pressure drop (∆P) = 1800 kN/m2
- Length of pipe (L) = 100 m
(iv) Calculate the flow rate (Q):
The flow rate can be calculated using the Hagen-Poiseuille equation:
Q = (π * D^4 * ∆P) / (128 * µ * L)
Q = (π * (0.06)^4 * 1800 * 10^3) / (128 * 9 * 100)
Q ≈ 0.012 m3/s
(v) Calculate the average velocity (v):
The average velocity can be calculated using the formula:
v = (4 * Q) / (π * D^2)
v = (4 * 0.012) / (π * (0.06)^2)
v ≈ 3.18 m/s
(vi) Determine the Reynolds number (Re):
Reynolds number can be calculated using the formula:
Re = (ρ * v * D) / µ
First, calculate the density (ρ) of the oil:
ρ = SG * ρ_water
ρ = 0.9 * 1000 ≈ 900 kg/m3
Now, calculate the Reynolds number:
Re = (900 * 3.18 * 0.06) / 9
Re ≈ 19.08
Therefore, the flow rate is approximately 0.012 m3/s, the average velocity is around 3.18 m/s, and the Reynolds number is approximately 19.08 for the given oil flowing through the pipe.
- Viscosity (µ) = 9 poise
- Specific gravity (SG) = 0.9
- Pipe diameter (D) = 60 mm
- Pressure drop (∆P) = 1800 kN/m2
- Length of pipe (L) = 100 m
(iv) Calculate the flow rate (Q):
The flow rate can be calculated using the Hagen-Poiseuille equation:
Q = (π * D^4 * ∆P) / (128 * µ * L)
Q = (π * (0.06)^4 * 1800 * 10^3) / (128 * 9 * 100)
Q ≈ 0.012 m3/s
(v) Calculate the average velocity (v):
The average velocity can be calculated using the formula:
v = (4 * Q) / (π * D^2)
v = (4 * 0.012) / (π * (0.06)^2)
v ≈ 3.18 m/s
(vi) Determine the Reynolds number (Re):
Reynolds number can be calculated using the formula:
Re = (ρ * v * D) / µ
First, calculate the density (ρ) of the oil:
ρ = SG * ρ_water
ρ = 0.9 * 1000 ≈ 900 kg/m3
Now, calculate the Reynolds number:
Re = (900 * 3.18 * 0.06) / 9
Re ≈ 19.08
Therefore, the flow rate is approximately 0.012 m3/s, the average velocity is around 3.18 m/s, and the Reynolds number is approximately 19.08 for the given oil flowing through the pipe.
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An oil of viscosity 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If the pressure drop in 100 m length of the pipe is 1800 KN/m2, determine the: (iv)(V)(vi)?
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An oil of viscosity 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If the pressure drop in 100 m length of the pipe is 1800 KN/m2, determine the: (iv)(V)(vi)? 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 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If the pressure drop in 100 m length of the pipe is 1800 KN/m2, determine the: (iv)(V)(vi)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An oil of viscosity 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If the pressure drop in 100 m length of the pipe is 1800 KN/m2, determine the: (iv)(V)(vi)?.
An oil of viscosity 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If the pressure drop in 100 m length of the pipe is 1800 KN/m2, determine the: (iv)(V)(vi)? 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 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If the pressure drop in 100 m length of the pipe is 1800 KN/m2, determine the: (iv)(V)(vi)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An oil of viscosity 9 poise and specific gravity 0.9 is flowing through a horizontal pipe of 60 mm diameter. If the pressure drop in 100 m length of the pipe is 1800 KN/m2, determine the: (iv)(V)(vi)?.
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