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Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.
- a)0.60 m/s
- b)0.26 m/s
- c)0.36 m/s
- d)0.66 m/s
Correct answer is option 'C'. Can you explain this answer?
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Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 5...
Since Re is less than 2000 flow is laminar so Poiseuille’s equation applie
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Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 5...
Given data:
Bore diameter (D) = 100 mm
Reynolds’ Number (Re) = 500
Density (ρ) = 800 kg/m3
Viscosity (µ) = 0.08 Ns/m2
Radius (r) = 40 mm
We know that Reynolds’ Number (Re) is given by the formula:
Re = (ρvd)/µ
where,
v = velocity of the fluid
d = diameter of the pipe
Let’s rearrange the formula to find the velocity (v):
v = (Re µ)/ρd
We can find the diameter (d) from the bore diameter of the pipe:
d = 100/1000 = 0.1 m
Substituting the given values, we get:
v = (500 × 0.08)/(800 × 0.1) = 0.04 m/s
Now, we can use the formula for the velocity profile of a laminar flow in a pipe:
v(r) = (vmax/2) (1 - (r/R)^2)
where,
vmax = maximum velocity at the centerline of the pipe
r = radial distance from the centerline of the pipe
R = radius of the pipe
At the centerline of the pipe, r = 0, so vmax = v.
Substituting the given values, we get:
v(r) = (0.04/2) (1 - (0.04/0.1)^2) = 0.36 m/s
Therefore, the velocity of a streamline at a radius of 40 mm is 0.36 m/s. Hence, option (c) is the correct answer.
Bore diameter (D) = 100 mm
Reynolds’ Number (Re) = 500
Density (ρ) = 800 kg/m3
Viscosity (µ) = 0.08 Ns/m2
Radius (r) = 40 mm
We know that Reynolds’ Number (Re) is given by the formula:
Re = (ρvd)/µ
where,
v = velocity of the fluid
d = diameter of the pipe
Let’s rearrange the formula to find the velocity (v):
v = (Re µ)/ρd
We can find the diameter (d) from the bore diameter of the pipe:
d = 100/1000 = 0.1 m
Substituting the given values, we get:
v = (500 × 0.08)/(800 × 0.1) = 0.04 m/s
Now, we can use the formula for the velocity profile of a laminar flow in a pipe:
v(r) = (vmax/2) (1 - (r/R)^2)
where,
vmax = maximum velocity at the centerline of the pipe
r = radial distance from the centerline of the pipe
R = radius of the pipe
At the centerline of the pipe, r = 0, so vmax = v.
Substituting the given values, we get:
v(r) = (0.04/2) (1 - (0.04/0.1)^2) = 0.36 m/s
Therefore, the velocity of a streamline at a radius of 40 mm is 0.36 m/s. Hence, option (c) is the correct answer.
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Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. Can you explain this answer?
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Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. 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 Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. Can you explain this answer?.
Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. 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 Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Oil flows in a pipe 100 mm bore diameter with a Reynolds’ Number of 500. The density is 800 kg/m3. Calculate the velocity of a streamline at a radius of 40 mm. The viscosity µ = 0.08 Ns/m2.a)0.60 m/sb)0.26 m/sc)0.36 m/sd)0.66 m/sCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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