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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

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Flow through branched pipes_AMIT

  • 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.
  • 6.
  • 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