We were
discussing the concept of laminar
and turbulent flow, Reynolds
experiment, frictional
loss in pipes, derivation of expression
for loss of head due to friction in pipes, co-efficient
of friction in terms of shear stress, basics
of shear stress in turbulent flow, minor
head losses in pipe flow, hydraulic
gradient and total energy line, basic concept and working of
syphon and also the concept of flow through pipes in series, in the subject of fluid mechanics, in our recent posts.
Now we
will go ahead to see the, flow through pipes in parallel, in the subject of
fluid mechanics, with the help of this post.
Flow through pipes in parallel
When pipes
of same lengths and different diameters are connected separately in order to
increase the discharge, such arrangement or connection of pipes will be
considered as pipes in parallel.
Let us
define the concept of pipes connected in parallel.
If a main
pipe is divided into two or more than two branches and joined again together
downstream to form a single pipe line, such arrangement of connection of pipes
will be considered as pipes in parallel.
Important Point:
The rate
of flow or discharge passing through main pipe line will be equal to the sum of
discharge through branch pipes.
Loss of
head for each branch pipe will be same in case of pipes connected in parallel.
Loss of
head for branch pipe 1 = Loss of head for branch pipe 2
Let us see
the following figure. Pipe A and pipe B are connected in parallel as displayed
here in following figure.
Let us consider the following terms from above
figure
DA
and DB: Diameter of pipes A and B respectively
QA
and QB: Discharge of pipes A and B respectively
Total
discharge through main pipe line = QA + QB
Further we
will go ahead to find out the basic concept of flow through branched pipes, in
the subject of fluid mechanics, with the help of our next post.
Do you
have any suggestions? Please write in comment box.
Reference:
Fluid
mechanics, By R. K. Bansal
Image
courtesy: Google
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