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For a fully developed flow through a pipe, For a fully developed flow through a pipe, the ratio of the maximum velocity to the average velocity is
- a)1
- b)2
- c)7
- d)4
Correct answer is option 'B'. Can you explain this answer?
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For a fully developed flow through a pipe, For a fully developed flow...
The ratio of the magnitude of average velocity to average speed is greater than or equal to 1. A . B. Average velocity of the body is defined as the ratio of net displacement of the body to the total time taken.
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For a fully developed flow through a pipe, For a fully developed flow...
Explanation:
Maximum Velocity vs. Average Velocity
- In a fully developed flow through a pipe, the velocity profile remains constant along the length of the pipe.
- The maximum velocity occurs at the center of the pipe, while the average velocity is the mean velocity across the entire cross-section of the pipe.
- The ratio of maximum velocity to average velocity can be determined using the following formula:
Ratio = Maximum Velocity / Average Velocity
Calculation
- In a fully developed flow, the maximum velocity occurs at the centerline of the pipe and is twice the average velocity.
- Therefore, the ratio of maximum velocity to average velocity is 2.
- This means that the maximum velocity is twice the average velocity in fully developed flow through a pipe.
Conclusion
- The correct answer is option 'B' as the ratio of the maximum velocity to the average velocity is 2 in a fully developed flow through a pipe.
Maximum Velocity vs. Average Velocity
- In a fully developed flow through a pipe, the velocity profile remains constant along the length of the pipe.
- The maximum velocity occurs at the center of the pipe, while the average velocity is the mean velocity across the entire cross-section of the pipe.
- The ratio of maximum velocity to average velocity can be determined using the following formula:
Ratio = Maximum Velocity / Average Velocity
Calculation
- In a fully developed flow, the maximum velocity occurs at the centerline of the pipe and is twice the average velocity.
- Therefore, the ratio of maximum velocity to average velocity is 2.
- This means that the maximum velocity is twice the average velocity in fully developed flow through a pipe.
Conclusion
- The correct answer is option 'B' as the ratio of the maximum velocity to the average velocity is 2 in a fully developed flow through a pipe.
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