GATE CE 2014 Set 2 — Question 30
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Water Resources Engineering → Hydrographs & Groundwater → Flood Routing
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Question
The Muskingum model of routing a flood through a stream reach is expressed as , where and are the routing coefficients for the concerned reach, and are the inflows to the reach, and and are the outflows from the reach corresponding to time steps 1 and 2 respectively. The sum of and of the model is
Correct answer
(D) 1
Solution
In the Muskingum flood routing method, the outflow at the end of a time step is calculated as a weighted average of the inflow at the beginning and end of the step, and the outflow at the beginning of the step. For the equation to satisfy the principle of continuity (conservation of mass), the sum of the coefficients must be equal to unity: .
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