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The frictional head loss in a turbulent flow through a pipe varies
- a)Directly as the average velocity
- b)directly as the square of the average velocity
- c)inversely as the square of the average velocity
- d)inversely as the square of the internal diameter of the pipe
Correct answer is option 'B'. Can you explain this answer?
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The frictional head loss in a turbulent flow through a pipe variesa)Di...
Frictional Head Loss in Turbulent Flow through a Pipe
Introduction
Frictional head loss refers to the pressure drop that occurs due to the friction between the fluid and the wall of a pipe. In turbulent flow, the fluid particles move in a chaotic manner, resulting in increased mixing and turbulence within the flow. The frictional head loss in turbulent flow is influenced by various factors, including the average velocity of the flow.
Explanation
The correct answer to the given question is option 'B', which states that the frictional head loss in a turbulent flow through a pipe varies directly as the square of the average velocity. This relationship is described by the Darcy-Weisbach equation, which is commonly used to calculate the frictional head loss in pipes.
Darcy-Weisbach Equation
The Darcy-Weisbach equation is given by:
Where:
- Δh is the frictional head loss
- f is the Darcy friction factor
- L is the length of the pipe
- D is the internal diameter of the pipe
- V is the average velocity of the flow
- g is the acceleration due to gravity
Relationship between Frictional Head Loss and Average Velocity
From the Darcy-Weisbach equation, it can be observed that the frictional head loss (Δh) is directly proportional to the square of the average velocity (V^2). This means that an increase in the average velocity will result in a proportional increase in the frictional head loss.
Explanation for Option 'A'
Option 'A' states that the frictional head loss varies directly as the average velocity. However, this is not correct because the Darcy-Weisbach equation shows that the frictional head loss is proportional to the square of the average velocity, not just the average velocity itself.
Explanation for Option 'C'
Option 'C' states that the frictional head loss varies inversely as the square of the average velocity. This is not correct because the Darcy-Weisbach equation clearly shows that the frictional head loss is directly proportional to the square of the average velocity, not inversely proportional.
Explanation for Option 'D'
Option 'D' states that the frictional head loss varies inversely as the square of the internal diameter of the pipe. This is also not correct because the Darcy-Weisbach equation does not include any term related to the internal diameter of the pipe in the relationship between frictional head loss and average velocity.
Conclusion
In conclusion, the frictional head loss in a turbulent flow through a pipe varies directly as the square of the average velocity. This relationship is described by the Darcy-Weisbach equation, which is commonly used to calculate the frictional head loss in pipes.
Introduction
Frictional head loss refers to the pressure drop that occurs due to the friction between the fluid and the wall of a pipe. In turbulent flow, the fluid particles move in a chaotic manner, resulting in increased mixing and turbulence within the flow. The frictional head loss in turbulent flow is influenced by various factors, including the average velocity of the flow.
Explanation
The correct answer to the given question is option 'B', which states that the frictional head loss in a turbulent flow through a pipe varies directly as the square of the average velocity. This relationship is described by the Darcy-Weisbach equation, which is commonly used to calculate the frictional head loss in pipes.
Darcy-Weisbach Equation
The Darcy-Weisbach equation is given by:
Δh = f * (L/D) * (V^2/2g)
Where:
- Δh is the frictional head loss
- f is the Darcy friction factor
- L is the length of the pipe
- D is the internal diameter of the pipe
- V is the average velocity of the flow
- g is the acceleration due to gravity
Relationship between Frictional Head Loss and Average Velocity
From the Darcy-Weisbach equation, it can be observed that the frictional head loss (Δh) is directly proportional to the square of the average velocity (V^2). This means that an increase in the average velocity will result in a proportional increase in the frictional head loss.
Explanation for Option 'A'
Option 'A' states that the frictional head loss varies directly as the average velocity. However, this is not correct because the Darcy-Weisbach equation shows that the frictional head loss is proportional to the square of the average velocity, not just the average velocity itself.
Explanation for Option 'C'
Option 'C' states that the frictional head loss varies inversely as the square of the average velocity. This is not correct because the Darcy-Weisbach equation clearly shows that the frictional head loss is directly proportional to the square of the average velocity, not inversely proportional.
Explanation for Option 'D'
Option 'D' states that the frictional head loss varies inversely as the square of the internal diameter of the pipe. This is also not correct because the Darcy-Weisbach equation does not include any term related to the internal diameter of the pipe in the relationship between frictional head loss and average velocity.
Conclusion
In conclusion, the frictional head loss in a turbulent flow through a pipe varies directly as the square of the average velocity. This relationship is described by the Darcy-Weisbach equation, which is commonly used to calculate the frictional head loss in pipes.
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The frictional head loss in a turbulent flow through a pipe variesa)Directly as the average velocityb)directly as the square of the average velocityc)inversely as the square of the average velocityd)inversely as the square of the internal diameter of the pipeCorrect answer is option 'B'. Can you explain this answer?
Question Description
The frictional head loss in a turbulent flow through a pipe variesa)Directly as the average velocityb)directly as the square of the average velocityc)inversely as the square of the average velocityd)inversely as the square of the internal diameter of the pipeCorrect answer is option 'B'. 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 The frictional head loss in a turbulent flow through a pipe variesa)Directly as the average velocityb)directly as the square of the average velocityc)inversely as the square of the average velocityd)inversely as the square of the internal diameter of the pipeCorrect answer is option 'B'. 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 The frictional head loss in a turbulent flow through a pipe variesa)Directly as the average velocityb)directly as the square of the average velocityc)inversely as the square of the average velocityd)inversely as the square of the internal diameter of the pipeCorrect answer is option 'B'. Can you explain this answer?.
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