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:


Warning: Undefined variable $deltat in /var/www/html/ponce/onlinerouting04.php on line 227
Time interval Δt =   hr               
Warning: Undefined variable $kstorage in /var/www/html/ponce/onlinerouting04.php on line 228
Storage constant K =   hr               
Warning: Undefined variable $xwfactor in /var/www/html/ponce/onlinerouting04.php on line 229
Weighting factor X =                  


Warning: Undefined variable $number in /var/www/html/ponce/onlinerouting04.php on line 230
Number of inflow hydrograph ordinates n =  


Warning: Undefined variable $number in /var/www/html/ponce/onlinerouting04.php on line 232

Warning: Undefined variable $qinflow in /var/www/html/ponce/onlinerouting04.php on line 237

Warning: Trying to access array offset on null in /var/www/html/ponce/onlinerouting04.php on line 237
Qi  (0) =  .   

OUTPUT:

Ratio Δt/K =  
Warning: Undefined variable $deltatok in /var/www/html/ponce/onlinerouting04.php on line 244

Deprecated: substr(): Passing null to parameter #1 ($string) of type string is deprecated in /var/www/html/ponce/onlinerouting04.php on line 244

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

            

  Your request was processed at  04:19:17 am on April 3rd, 2025   [ 250403  04:19:17 ].

Thank you for running onlinerouting04.   Please call again.   [070423]

 

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