I have to solve this system of equations for one class and I have to iterate, which I hate (the class is applied hydraulics). The system is the following:
$$h_1-H=a \cdot Q_1^2 $$ $$h_2-H=b \cdot Q_2^2 $$ $$H-h_3=c \cdot Q_3^2 $$
Where $h_1$, $h_2$, $h_3$, $a$, $b$ and $c$ are known.
I think I can dispose of the second equation, because depending of the case it can be written as: $H-h_2=b \cdot Q_2^2 $ depending on the case.