onlinerouting05:   Muskingum-Cunge routing   ⇒   D = qo/(SocΔx)

Formulas

V = Qp/Ap         qo = Qp/Tp         c = βV

C = c(Δt/Δx)         D = qo/(SocΔx)

C0 = (-1+C+D)/(1+C+D)         C1 = (1+C-D)/(1+C+D)         C2 = (1-C+D)/(1+C+D)

O2 = C0I2 + C1I1 + C2O1

Reference

Ponce, V. M. 1989. Engineering Hydrology, Principles and Practices. Prentice Hall, pages 291-297.
Example
INPUT DATA:

Enter peak discharge Qp (m3/s):   

Enter peak flow area Ap (m2):   

Enter peak top width Tp (m):   

Enter time interval Δt (hr):   

Enter reach length Δx (km):   

Enter rating exponent β :   

Enter bottom slope So (m/m):   

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:

Peak discharge Qp =   m3/s          Peak flow area Ap =   m2          Peak top width Tp =   m          

Time interval Δt =   hr          Reach length Δx =   km          Rating exponent β =             

Bottom slope =   (m/m)          Number of inflow hydrograph ordinates n =  

Qi  (0) =  .   

OUTPUT:

Courant number C =                   Cell Reynolds number D =  

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

            

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