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The Muskingum model of routing a flood through a stream reach is expressed as O2 = K0I2 + K1I1 + K2O1, where K0, K1 and K2 are the routing coefficients for the concerned reach, I1 and I2 are the inflows to the reach, and O1 and O2 are the outflows from the reach corresponding to time steps 1 and 2 respectively. The sum of KO, K1 and K2 of the model is

The Muskingum model of routing a flood through a stream reach is expressed as O2 = K0I2 + K1I1 + K2O1, where K0, K1 and K2 are the routing coefficients for the concerned reach, I1 and I2 are the inflows to the reach, and O1 and O2 are the outflows from the reach corresponding to time steps 1 and 2 respectively. The sum of KO, K1 and K2 of the model is Correct Answer 1

Concept:

A common method of Hydrologic channel routing is Muskingum method, in which the channel storage in a reach is expressed as a function of both inflow and outflow discharge.

S = k

Where, s = Storage in a channel reach

I = Inflow Discharge

Q = Outflow Discharge

k → Coefficient known as storage time coefficient. It was unit of time, it is approx. equal to time of travel of flood wave through the channel reach.
x → Weightage factor. Its range series from 0 to 0.5

  • For naturally occurring channels m = 1, Hence the equation becomes

S = k

  • For x = 0, storage is only a function of outflow discharge. Such reservoirs are also known as Linear Reservoir.

Muskingum model of routing a flood through a stream reach is expressed as

O2 = K0I2 + K1I1 + K2O1

where K0, K1and K2 = Routing coefficients for the concerned reach

I1 and I2 = Inflows to the reach 1 and 2

O1 and O2 = Outflows from the reach 1 and 2

K0 + K1 + K2 = 1.0

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