Discharge over a rectangular notch is calculated using _____________________?
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Answer: C. 2/3 cd. B (2g) 1/2 H3/2
Explanation
Discharge over a rectangular notch or weir is calculated using the standard formula proportional to H^(3/2). This well-established weir formula incorporates discharge coefficients, acceleration due to gravity, and head dimensions. Hydraulic laboratory experiments confirm that flow rate varies exponentially with the three-halves power of head. Rectangular notches are hydraulic measuring devices installed in open channels to quantify flowing water volumes. The head over a notch is measured upstream at a distance sufficient to avoid surface drawdown curvature effects. Dimensional analysis and Bernoulli's equation form the theoretical foundation for deriving open channel weir equations.
Civil engineers use rectangular notches in irrigation canals and laboratory flumes to monitor water discharge accurately. Incorrect installation or approach velocity can cause measurement errors when applying standard weir equations. Precise flow measurement is essential for equitable water distribution among agricultural users in canal commands. Option A features incorrect exponent terms that do not correspond to the standard rectangular notch discharge formula. Option B lacks the proper head exponent required for accurate rectangular notch discharge calculations. Option D includes an incorrect fifth-half exponent which applies to different geometric notch configurations.
- Subject
- Agriculture
- Category
- Agriculture
- Topic
- —
- Difficulty
- medium
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