Translations:Transportstrecke/18/en

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with:

[math]\displaystyle{ Q_z }[/math]: Inflow to calculation section
[math]\displaystyle{ Q_a }[/math]: Outflow from calculation section
[math]\displaystyle{ i }[/math]: Current calculation time step
[math]\displaystyle{ i-1 }[/math]: Previous calculation time step
[math]\displaystyle{ dt }[/math]: Calculation time interval
[math]\displaystyle{ C_1=1- e^{-dt/K^*} }[/math]
[math]\displaystyle{ C_2=1- \frac{K^*}{dt}/C_1 }[/math]

produces the outflow at the end of the pipe. This approximation method derived from Kalinin-Miljukov is identical to the linear storage cascade used for calculating runoff concentration. This means the flow ina transport reach can be simulated using a linear storage cascade consisting of [math]\displaystyle{ n }[/math] storages with the retention constant [math]\displaystyle{ K^* }[/math].