Subject: Fluid Mechanics 2

Topic: Flow Through Pipes

Difficulty: High

Solution :

Required Formulae

$h_f=\sum rQ_o^2$

and

$\begin{aligned}\therefore \Delta Q=-\frac{\sum rQ_o^n}{\sum nrQ_o^{n-1}} \end{aligned}$

For n = 2

$\begin{aligned}\therefore \Delta Q=-\frac{\sum rQ_o^2}{\sum nrQ_o^{2}} \end{aligned}$

Consider the assumed flow rate

We have to follow the iterative method upto the $\Delta Q$ becomes negligible,

From 4th iteration we get corrected flow in each pipe , we can also follow further iteration upto very very small for $\Delta Q$