Section 4: Soil and Water Conservation Engineering
Hydrology
Subtopic: Flood routing, hydrological reservoir and channel routing
Question Statement:
In the Muskingum channel flood routing equation, $Q_2 = C_0 I_2 + C_1 I_1 + C_2 Q_1$, the routing coefficients must strictly satisfy which mathematical condition?
Options:
(A) $C_0 + C_1 + C_2 = 1$
(B) $C_0 + C_1 - C_2 = 1$
(C) $C_0 \cdot C_1 \cdot C_2 = 1$
(D) $C_0 + C_1 + C_2 = 0$
Answer Key:
A
Step-by-Step Solution & Explanation
By mass conservation in linear channel reach storage routing, the sum of Muskingum weighting coefficients must identically equal unity: $C_0 + C_1 + C_2 = 1$.