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Canal discharge for dry and wet crops (30000/40000 ha)

Short answer

Dry-season discharge is 12.24 m³/s, wet-season discharge is 19.01 m³/s. The canal is designed for the larger wet-season discharge of 19.01 m³/s.

Compute the flow discharge needed for a canal to irrigate dry season crops in 30000 ha and wet season crops in 40000 ha. Kor period and kor depth for dry and wet season crops are 6 weeks and 14.8 cm and 4 weeks and 11.5 cm respectively.

Formula: Q=A dT×86400Q = \dfrac{A\,d}{T\times 86400} with AA in m2^2, dd in m, TT in days.

Dry-season crops: A=30000A = 30000 ha =3×108= 3\times10^8 m2^2, T=6×7=42T = 6\times7 = 42 days, d=0.148d = 0.148 m

Qdry=3×108×0.14842×86400=12.235 m3/sQ_{dry} = \frac{3\times10^8\times 0.148}{42\times 86400} = 12.235\ \text{m}^3/\text{s}

Wet-season crops: A=40000A = 40000 ha =4×108= 4\times10^8 m2^2, T=4×7=28T = 4\times7 = 28 days, d=0.115d = 0.115 m

Qwet=4×108×0.11528×86400=19.015 m3/sQ_{wet} = \frac{4\times10^8\times 0.115}{28\times 86400} = 19.015\ \text{m}^3/\text{s}

The seasons are different, so the canal is designed for the larger of the two.

Answer: canal discharge = 19.01 cumec (wet season governs; dry season needs 12.24 cumec).

✓ Answer checked by Claude Opus 5.5 (high effort)

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