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Maximum discharge over broad crested weir is
  • a)
    1.705 CdLH5/2
  • b)
    1.705 CdLH3/z
  • c)
    0.3849 CdLH5/2
  • d)
    0.3849 CdLH3/2
Correct answer is option 'B'. Can you explain this answer?
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Understanding Broad Crested Weir Discharge
A broad crested weir is a structure used in hydraulic engineering to measure the flow of water. The maximum discharge over such a weir can be calculated using specific formulas that take into account the geometry of the weir and the characteristics of the flow.
Discharge Formula
The formula for calculating the maximum discharge (Q) over a broad crested weir is:
Q = Cd * L * H^(3/2)
Where:
- Q = Discharge (cubic meters per second)
- Cd = Coefficient of discharge (dimensionless)
- L = Length of the weir crest (meters)
- H = Head of water above the weir crest (meters)
Key Features of the Correct Option (B)
- Option B specifies 1.705 Cd L H^(3/2): This is derived from empirical studies and reflects the relationship between flow characteristics and the dimensions of the weir.
- Importance of the Coefficient of Discharge (Cd): This value varies depending on the design and flow conditions, influencing the efficiency of the weir in measuring discharge.
- Head (H) to the Power of 3/2: This indicates that the discharge increases significantly with even small increases in head, making the weir very sensitive to changes in water level.
Conclusion
Option B is the correct choice as it accurately captures the relationship between the flow characteristics and the weir's geometry, allowing for precise calculations of maximum discharge. Understanding this formula is crucial in hydraulic engineering applications for effective water management and measurement.
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