Fluid Mechanics in SWCE

In pipe network analysis by the Hardy Cross method, the flow correction $\Delta Q$ for a closed loop with head loss $h_f = r Q^n$ is given by:

Options:

• (A) $\Delta Q = -\frac{\sum r Q |Q|^{n-1}}{n \sum r |Q|^{n-1}}$
• (B) $\Delta Q = -\frac{\sum Q}{\sum r}$
• (C) $\Delta Q = \frac{\sum h_f}{\sum Q}$
• (D) $\Delta Q = -\sum r Q^2$