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Rectangular notch (weir) discharge formula For a sharp-crested rectangular notch of width b with head H above the sill and coefficient of discharge Cd, select the correct standard expression for discharge.

Mechanical Engineering Hydraulics and Fluid Mechanics Difficulty: Easy
Choose an option
  • A
    Q = (2/3) C<sub>d</sub> b √(2g) H<sup>3/2</sup>
  • B
    Q = C<sub>d</sub> b √(2g) H<sup>2</sup>
  • C
    Q = (2/3) C<sub>d</sub> b (2g) H<sup>3/2</sup>
  • D
    Q = (2/3) C<sub>d</sub> b √(2g) H

Answer

Correct Answer: Q = (2/3) C<sub>d</sub> b √(2g) H<sup>3/2</sup>

Explanation

Given data

  • Width = b, head over sill = H, discharge coefficient = Cd.

Concept/Approach

  • Discharge over a sharp-crested rectangular notch is obtained by integrating elementary strips across the head.

ResultQ = (2/3) Cd b √(2g) H3/2

Final Answer(2/3) Cd b √(2g) H3/2

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