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Field channel discharge for gram and wheat

Short answer

Gram area 600 ha, Q = (600×10⁴×0.12)/(18×86400) = 0.463 cumec. Wheat area 1000 ha, Q = (1000×10⁴×0.15)/(15×86400) = 1.157 cumec. Both are rabi crops, so total design discharge = 0.463 + 1.157 = 1.62 cumec.

A field channel has a culturable command area of 2000 hectares. The intensity of irrigation for gram is 30% and for wheat is 50%. Gram has a kor period of 18 days and kor depth of 12 cm, while wheat has a kor period of 15 days & kor depth of 15 cm. Calculate the discharge of the field channel.

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

Areas: gram =0.30×2000=600= 0.30\times 2000 = 600 ha; wheat =0.50×2000=1000= 0.50\times 2000 = 1000 ha.

Gram (T=18T = 18 days, d=0.12d = 0.12 m):

Qg=6000000×0.1218×86400=0.463 m3/sQ_g = \frac{6000000\times 0.12}{18\times 86400} = 0.463\ \text{m}^3/\text{s}

Wheat (T=15T = 15 days, d=0.15d = 0.15 m):

Qw=10000000×0.1515×86400=1.157 m3/sQ_w = \frac{10000000\times 0.15}{15\times 86400} = 1.157\ \text{m}^3/\text{s}

Gram and wheat are both rabi crops, grown at the same time on different parts of the command area (30% + 50% = 80% of the CCA). Their kor waterings can therefore coincide, so the field channel must be able to carry both demands together:

Q=Qg+Qw=0.463+1.157=1.620 m3/sQ = Q_g + Q_w = 0.463 + 1.157 = 1.620\ \text{m}^3/\text{s}

Answer: design discharge of the field channel = 1.62 cumec (gram 0.463 cumec + wheat 1.157 cumec).

✓ Answer checked by Claude Opus 5.5 (high effort)

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