Today
we will start here the basics of pumping system and net head developed by the
centrifugal pump with the help of this post. First we will see here the basics
of pumping system and after that we will find out the net head developed by the
centrifugal pump.
Rise
in pressure head at any point of the rotating liquid ∝ V2
We
have used here terms i.e. centrifugal pump and pumping system. Centrifugal pump
will be a very important component in a pumping system where centrifugal pump
is being used to lift the fluid mostly water.
Therefore,
we must have brief information here about the centrifugal pump.
Centrifugal pump
Hydraulic
machines which convert the mechanical energy in to stored energy of fluid will
be termed as pumps. Compressors, fans and blowers are also come under this
category of hydraulic machines as they also convert mechanical energy in to
stored energy of fluid.
But,
we will be interested here only about the pumps. So we will not discuss here
about the compressors, fans and blowers. These types of hydraulic machines will
be discussed further in our next posts.
Stored
energy of fluid is also termed as hydraulic energy and hence pumps are
basically defined as the hydraulic machines which convert the mechanical energy
in to hydraulic energy.
We
can also say that output of pumps will be in the form of stored mechanical
energy. In case of pumps, stored mechanical energy comes in the form of static
pressure or static head.
If
the mechanical energy is converted in to stored mechanical energy or pressure
energy by means of centrifugal force acting on the fluid, the hydraulic machine
will be termed as centrifugal pump.
Centrifugal
pumps are radial flow pumps. The flow in the centrifugal pumps will be in the
radial outward directions and therefore a centrifugal pump act as a reverse of
an inward radial flow reaction turbine.
The
centrifugal pump works on the principle of forced vortex flow which means that
when a certain mass of liquid will be rotated by an external torque, the rise
in pressure head of the rotating liquid will take place.
The
rise in pressure head at any point of the rotating liquid will be proportional
to the square of tangential velocity of the liquid at that point.
Rise
in pressure head at any point of the rotating liquid ∝ V2
Where,
V is the tangential velocity of the liquid at that point.
Therefore,
the rise in pressure head at the outlet of impeller will be more as radius will
be more at the outlet of impeller. Hence, liquid will be discharged at the
outlet with a high pressure head and therefore liquid could be lifted up to
high level.
General pumping system
Following
figure displayed here indicates the general pumping system.
As
we can see here, there are two reservoirs. The first one is lower reservoir or
sump and the second one is higher reservoir.
There
will be one centrifugal pump, as displayed in figure, which will lift the
liquid (say water for example) from sump and will deliver it to the higher
reservoir.
There
will be one inlet pipe and one outlet pipe. Inlet pipe will connect the sump
with the inlet of the centrifugal pump and outlet pipe or discharge pipe will
connect the discharge or outlet of centrifugal pump with the higher reservoir.
There
will be two pressure gauges, one pressure gauge will be fixed at the inlet of
centrifugal pump and will be termed as inlet pressure gauge which will indicate
the pressure of liquid at the inlet of centrifugal pump. Other pressure gauge
will be fixed at the outlet of centrifugal pump and will be termed as outlet
pressure gauge which will indicate the pressure of liquid at the outlet or
discharge of centrifugal pump.
Liquid
or water will enter in to the inlet pipe and will go to the centrifugal pump. Centrifugal
pump will provide the energy to the liquid. At the outlet of the pump, liquid
will be discharged with a high pressure head and therefore liquid could be
lifted up to high level and will be discharged to higher reservoir.
Let
us see here the important designated nomenclatures as displayed in above
figure.
The
free surface of liquid in the lower reservoir will be at height HA
and the difference between the free surface of liquid in higher reservoir and
lower reservoir is HS.
Vertical
distance of discharge plane of centrifugal pump from datum line is Z2
and vertical distance of suction or inlet plane of centrifugal pump from datum
line is Z1.
So,
we have seen here the basic pumping system with its various important
nomenclatures and also we have seen the basic role of a centrifugal pump in a
pumping system.
Do you have any suggestions? Please write in comment
box.
Further
we will find out, in our next post, the net or total head developed by the centrifugal pump.
Reference:
Fluid
mechanics, By R. K. Bansal
Image
courtesy: Google
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