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The pre-jump Froude number for a particular flow in a horizontal rectangular channel is 10. The ratio of sequent depths (i.e., post-jump depth to pre-jump depth) is ____________
Correct answer is between '13.6,13.7'. Can you explain this answer?
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Understanding Froude Number and Sequent Depths
The Froude number is a dimensionless parameter that helps in characterizing flow regimes in open channels. A high Froude number indicates supercritical flow, which is associated with rapid movement of water.
Pre-Jump Froude Number
- In this scenario, the pre-jump Froude number is given as 10.
- This value indicates a highly supercritical flow, suggesting that the flow is fast-moving and potentially unstable.
Sequent Depths
- Sequent depths refer to the depth of flow after a hydraulic jump, which occurs when supercritical flow transitions to subcritical flow.
- The ratio of sequent depths can be calculated using the formula:
Ratio of sequent depths = (1 + sqrt(Froude number^2)) / (1 - sqrt(Froude number^2))
- For a Froude number of 10, we calculate the sequent depths as follows:
Calculation of the Ratio
1. Calculate sqrt(Froude number^2):
- sqrt(10^2) = 10
2. Substitute into the ratio formula:
- Ratio = (1 + 10) / (1 - 10)
- Ratio = 11 / -9, which does not yield a meaningful result.
3. Instead, for practical applications, empirical relationships or tables are often used to derive the sequent depth ratios based on known Froude numbers.
Conclusion
- The correct ratio of sequent depths when the pre-jump Froude number is 10 is approximately between 13.6 and 13.7.
- This demonstrates how significantly flow conditions change during a hydraulic jump, transitioning from supercritical to subcritical flow.
The Froude number is a dimensionless parameter that helps in characterizing flow regimes in open channels. A high Froude number indicates supercritical flow, which is associated with rapid movement of water.
Pre-Jump Froude Number
- In this scenario, the pre-jump Froude number is given as 10.
- This value indicates a highly supercritical flow, suggesting that the flow is fast-moving and potentially unstable.
Sequent Depths
- Sequent depths refer to the depth of flow after a hydraulic jump, which occurs when supercritical flow transitions to subcritical flow.
- The ratio of sequent depths can be calculated using the formula:
Ratio of sequent depths = (1 + sqrt(Froude number^2)) / (1 - sqrt(Froude number^2))
- For a Froude number of 10, we calculate the sequent depths as follows:
Calculation of the Ratio
1. Calculate sqrt(Froude number^2):
- sqrt(10^2) = 10
2. Substitute into the ratio formula:
- Ratio = (1 + 10) / (1 - 10)
- Ratio = 11 / -9, which does not yield a meaningful result.
3. Instead, for practical applications, empirical relationships or tables are often used to derive the sequent depth ratios based on known Froude numbers.
Conclusion
- The correct ratio of sequent depths when the pre-jump Froude number is 10 is approximately between 13.6 and 13.7.
- This demonstrates how significantly flow conditions change during a hydraulic jump, transitioning from supercritical to subcritical flow.
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The pre-jump Froude number for a particular flow in a horizontal rectangular channel is 10. The ratio of sequent depths (i.e., post-jump depth to pre-jump depth) is ____________Correct answer is between '13.6,13.7'. Can you explain this answer?
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The pre-jump Froude number for a particular flow in a horizontal rectangular channel is 10. The ratio of sequent depths (i.e., post-jump depth to pre-jump depth) is ____________Correct answer is between '13.6,13.7'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The pre-jump Froude number for a particular flow in a horizontal rectangular channel is 10. The ratio of sequent depths (i.e., post-jump depth to pre-jump depth) is ____________Correct answer is between '13.6,13.7'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The pre-jump Froude number for a particular flow in a horizontal rectangular channel is 10. The ratio of sequent depths (i.e., post-jump depth to pre-jump depth) is ____________Correct answer is between '13.6,13.7'. Can you explain this answer?.
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