This document discusses the analysis of branching pipe systems, which connect three or more reservoirs by pipes with one or more junctions. It explains that the goal is to determine discharge in the pipes given their diameters, lengths, and friction coefficients. It also outlines the key equations used: continuity, Bernoulli's, and Darcy-Weisbach. The analysis assumes steady flow conditions and minor losses are negligible.

1. When three or more reservoirs are connected by means of
pipes, having one or more junctions, then this arrangement
is called branching of pipe.

2. As shown in figure three reservoirs at different
level connected to a single junction. The main
aim to analyze branching of pipe is to
determine the discharge at given pipe
diameters lengths and co-efficient of friction.

3. •When three or more reservoirs are connected
by means of pipes, having one or more
junctions, the system is called a branching pipe
system.
• Figs how's three reservoirs at different levels
connected to a single junction. by means of
pipes which are called branched pipes

4. The lengths, diameters and co-efficient of
friction of each pipes is given. It is required
to find the discharge and direction of flow in
each pipe. The basic equations used for
solving such problems are:
I. Continuity equation which means the inflow of
fluid at the junction should he equal to the
outflow of fluid.
II. Bernoulli's equation. and
III. Darcy-Weisbach equation

5. •Also it is assumed that reservoirs are very
lagged and the water surface levels in the
reservoirs are constant so that steady conditions
exist in the pipes.
•Also minor losses are assumed very small. The
flow from reservoir A takes place to junction 0.
The flow front junction I) is towards reservoirs C.
Now the flow from junction D towards reservoir II
will take place only when piczometric head at D.

7. APPLICATION
 The analysis of branched pipes is useful
while studying or designing city water
supply system which involving the
number of pipe loops. Also in this case,
number of lines added in parallel to
existing line when demand increases