A triangular open channel has a vertex angle of 90 degrees and carries flow at a critical depth of 0.30 m . The discharge in the channel is

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JKSSB JE (Civil) Official Paper (Held On: 19 Nov, 2023)
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  1. \(0.15 \text{m}^3/\text{s}\)
  2. \(0.2 \text{m}^3/\text{s}\)
  3. \(0.08 \text{m}^3/\text{s}\)
  4. \(0.11 \text{m}^3/\text{s}\)

Answer (Detailed Solution Below)

Option 4 : \(0.11 \text{m}^3/\text{s}\)
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Concept:

For triangular open channels, the discharge at critical flow can be found using the critical flow condition:

\(Q_c=\frac{8}{15}\sqrt {g} zy_c^{2.5}\)

where, z = side slope of channel, yc = critical depth, g = 9.81 m/s2

Calculation:

Given: For 90 degrees, z = 1

yc = 0.30 m

\(Q_c=\frac{8}{15}\times \sqrt {9.81}\times 1\times0.3^{2.5}\)

\(Q_c=0.11m^3/s\)

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