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The St Venant equations for unsteady openchannel flow are
In routing a flood through a reach, the point of intersection of inflow and outflow hydrographs coincides with the peak of outflow hydrograph
Which of the following is a proper reservoirrouting equation?
In reservoir routing, the storage is a unique function of outflow discharge, S = f(Q).
However, in channel routing the storage is a function of both outflow and inflow discharge and hence a different routing method is needed from muskingum method of hydrological channel routing storage is given by,
The Muskingum method of flood routing assumes the storage S is related to inflow rate I and outflow rate Q of a reach as S =
For a given channel reach by selecting a routing interval Δt and using the Muskingum equation, the change in storage is,
S_{2}  S_{1} = k(xI_{2}  I_{1}) + 1  x(Q_{2}  Q_{1})
Where suffixes 1 and 2 refer to the conditions before and after the time interval Δt.
The Muskingum method of flood routing gives Q_{2} = C_{0}I_{2} + C_{1}I_{1} + C_{2}Q_{1}. The coefficients in this equation will have values such that
The Muskingum channel routing equation is written for the outflow from the reach Q in terms of the inflow I and coefficients C_{0}, C_{1} and C_{2} as
In the Muskingum method of channel routing the routing equation is written as Q_{2} = C_{0}I_{2} + C_{1}I_{1} + C_{2}Q_{1}. If the coefficients K = 12 h and x = 0.15 and the time step for routing Δt = 4 hr, the coefficient C_{0} is
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