Question Bank • QB_EXP_SWCE_FLR_001 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Flood Routing & Drought Analysis

Subtopic: Muskingum flood routing coefficient C0

Question Statement:

In a river reach, flood routing is performed using the Muskingum method with parameters $K = 12\text{ h}$, $x = 0.2$, and routing time interval $\Delta t = 6\text{ h}$. The routing coefficient $C_0$ in $Q_2 = C_0 I_2 + C_1 I_1 + C_2 Q_1$ is ________ (round off to three decimal places).

Answer Key:

0.048

Step-by-Step Solution & Explanation

Muskingum coefficients are: $C_0 = \frac{\Delta t - 2 K x}{2 K (1 - x) + \Delta t}$ Given $K = 12.0\text{ h}$, $x = 0.2$, $\Delta t = 6.0\text{ h}$: $\text{Denominator} = 2(12)(1 - 0.2) + 6 = 24(0.8) + 6 = 19.2 + 6 = 25.2$ $\text{Numerator} = 6 - 2(12)(0.2) = 6 - 4.8 = 1.2$ $C_0 = \frac{1.2}{25.2} = 0.048$ Check: $C_0 + C_1 + C_2 = 1.0$.
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