Sharp-crested (narrow-crested) weir – thumb rule for thickness In a sharp-crested weir, the thickness of the crest is kept less than half of the head of water above the crest. State whether this design guideline is correct:

Difficulty: Easy

Correct Answer: True

Explanation:


Introduction:
Weir discharge equations assume a sharp, effectively thin crest so the nappe springs clear and the flow approximates an orifice sheet. The thickness guideline helps maintain sharp-crested behaviour.



Given Data / Assumptions:

  • Free overfall with aerated nappe.
  • Head H measured upstream above the crest elevation.
  • Negligible scale effects for standard laboratory/field conditions.


Concept / Approach:
Keeping crest thickness less than about H/2 limits streamline curvature within the crest and avoids broad-crested behaviour, which would alter coefficients and calibration.



Step-by-Step Solution:
1) Begin with objective: produce a sharp overfall with minimal crest interference.2) Use the empirical rule t < H/2 to classify narrow (sharp) crests.3) This ensures discharge coefficient correlations for sharp-crested weirs remain valid.



Verification / Alternative check:
Laboratory calibrations show that as t/H increases, coefficients shift toward broad-crested behaviour, increasing sensitivity to approach velocity and crest geometry.



Why Other Options Are Wrong:

  • False or restrictive cases: standard rectangular and triangular sharp crests follow this guidance.
  • Very thick crests behave differently and need different formulae.


Common Pitfalls:
Ignoring aeration under the nappe; air-cushion failure changes calibration even with a thin crest.



Final Answer:
True

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