When three or more reservoirs are connected by means of

pipes, having one or more junctions, then this arrangement is called branching of pipe.

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.

•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

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

•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.

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