onlinerouting04:   Muskingum routing   ⇒   S = K[XI + (1-X)O]

Formulas

O2 = C0I2 + C1I1 + C2O1            C0 = [(Δt/K) - 2X]/[2(1-X) + (Δt/K)]

C1 = [(Δt/K) + 2X]/[2(1-X) + (Δt/K)]           C2 = [2(1-X) - (Δt/K)]/[2(1-X) + (Δt/K)]

Reference

Ponce, V. M. 1989. Engineering Hydrology, Principles and Practices. Prentice Hall, pages 271-275.
Example
INPUT DATA:

Enter time interval Δt (hr):               Enter storage constant K (hr):               Enter weighting factor X :   

Enter number of inflow hydrograph ordinates n:     

Enter inflow hydrograph ordinates Qi (start with Q0, separate each value with a comma; maximum string length is 300 characters).

Qi:     

ECHO OF INPUT:

Time interval Δt =   hr               Storage constant K =   hr               Weighting factor X =                  

Number of inflow hydrograph ordinates n =  

Qi  (0) =  .   

OUTPUT:

Ratio Δt/K =  

Time intervalTime (hr)Time (days)InflowC0I2C1I1C2O1Outflow
0   --- 

            

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