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Friction factor f in laminar and turbulent flow in a pipe varies as Re-1 and Re-0.25 respectively. If V\s the average velocity, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional to
- a)V and V0.75
- b)V0.5 and V2
- c)V0.5 and V1.75
- d)V and V1.75
Correct answer is option 'D'. Can you explain this answer?
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Friction factor f in laminar and turbulent flow in a pipe varies as Re...
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Friction factor f in laminar and turbulent flow in a pipe varies as Re...
Friction factor and Reynolds number relationship:
- In laminar flow, friction factor f varies as Re-1.
- In turbulent flow, friction factor f varies as Re-0.25.
Pressure drop in a horizontal pipe:
- Pressure drop in a pipe is given by the Darcy-Weisbach equation: ΔP = f (L/D) (ρV^2/2), where f is friction factor, L is pipe length, D is pipe diameter, ρ is fluid density, and V is average velocity.
- For a given pipe length and diameter, the pressure drop is proportional to the square of the average velocity V.
Combining the above relationships, we get:
- In laminar flow, ΔP is proportional to f Re-1 V^2 = (Re/f) V.
- In turbulent flow, ΔP is proportional to f Re-0.25 V^2 = (Re^0.75/f) V1.75.
Therefore, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional to V and V1.75, which is option D.
- In laminar flow, friction factor f varies as Re-1.
- In turbulent flow, friction factor f varies as Re-0.25.
Pressure drop in a horizontal pipe:
- Pressure drop in a pipe is given by the Darcy-Weisbach equation: ΔP = f (L/D) (ρV^2/2), where f is friction factor, L is pipe length, D is pipe diameter, ρ is fluid density, and V is average velocity.
- For a given pipe length and diameter, the pressure drop is proportional to the square of the average velocity V.
Combining the above relationships, we get:
- In laminar flow, ΔP is proportional to f Re-1 V^2 = (Re/f) V.
- In turbulent flow, ΔP is proportional to f Re-0.25 V^2 = (Re^0.75/f) V1.75.
Therefore, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional to V and V1.75, which is option D.
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Friction factor f in laminar and turbulent flow in a pipe varies as Re-1 and Re-0.25 respectively. If V\s the average velocity, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional toa)V and V0.75b)V0.5 andV2c)V0.5 and V1.75d)V and V1.75Correct answer is option 'D'. Can you explain this answer?
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Friction factor f in laminar and turbulent flow in a pipe varies as Re-1 and Re-0.25 respectively. If V\s the average velocity, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional toa)V and V0.75b)V0.5 andV2c)V0.5 and V1.75d)V and V1.75Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Friction factor f in laminar and turbulent flow in a pipe varies as Re-1 and Re-0.25 respectively. If V\s the average velocity, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional toa)V and V0.75b)V0.5 andV2c)V0.5 and V1.75d)V and V1.75Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Friction factor f in laminar and turbulent flow in a pipe varies as Re-1 and Re-0.25 respectively. If V\s the average velocity, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional toa)V and V0.75b)V0.5 andV2c)V0.5 and V1.75d)V and V1.75Correct answer is option 'D'. Can you explain this answer?.
Friction factor f in laminar and turbulent flow in a pipe varies as Re-1 and Re-0.25 respectively. If V\s the average velocity, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional toa)V and V0.75b)V0.5 andV2c)V0.5 and V1.75d)V and V1.75Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Friction factor f in laminar and turbulent flow in a pipe varies as Re-1 and Re-0.25 respectively. If V\s the average velocity, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional toa)V and V0.75b)V0.5 andV2c)V0.5 and V1.75d)V and V1.75Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Friction factor f in laminar and turbulent flow in a pipe varies as Re-1 and Re-0.25 respectively. If V\s the average velocity, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional toa)V and V0.75b)V0.5 andV2c)V0.5 and V1.75d)V and V1.75Correct answer is option 'D'. Can you explain this answer?.
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