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FLUID MECHANICS

Manometers

31st August, 2010.


A study of the different types of
manometers and the principleS
on which they are based
MANOMETRY

It is A standard technique for measuring pressure


that involves the use of liquid columns in vertical or
inclined tubes.

Pressure measuring devices based on this technique


are called manometers.
Definition of Pressure

Pressure is defined as the amount of force exerted


on a unit area of a substance.

force N
P  2  Pa
area m
Types of pressure:

Absolute Pressure:
Measured relative to a perfect vacuum

Gage Pressure:
Measured relative to the local atmospheric pressure
Relationship between Absolute pressure
and gage pressure:

Absolute pressure = Atmospheric


pressure + gage
pressure
Note:
Absolute pressures are always positive.

Gage pressure can be positive or negative, depending on


whether the pressure is above atmospheric pressure (positive
value) or below atmospheric pressure (negative value).

A negative gage pressure is also referred to as a suction or


vacuum pressure.
Types of Manometers:

1. Piezometer tube.

2. U-Tube manometer.

3. Inclined-Tube manometer.
Piezometer Tube:
The simplest manometer is a tube,
open at the top, which is attached
to the top of a vessel containing
liquid at a pressure (higher than
atmospheric) to be measured. An
example can be seen in the figure .
This simple device is known as a
Piezometer tube. As the tube is
open to the atmosphere the
pressure measured is relative to
atmospheric so is gauge pressure.
Working:

ra-ratm=gh

Or for the gage pressure at


A

ra=gh

Where g= specific gravity


of material
Although the piezometer tube is a very simple and
accurate pressure measuring device, it has several
disvantages.

It is only suitable when the pressure in the container


is greater than atmosphic pressure (otherwise air
would be sucked into the system).
U-Tube Manometer:
Using a "U"-Tube enables the pressure
of both liquids and gases to be
measured with the same instrument. The
"U" is connected as in the figure below
and filled with a fluid called the
manometric fluid. The fluid whose
pressure is being measured should have
a mass density less than that of the
manometric fluid and the two fluids
should not be able to mix readily - that
is, they must be immiscible.
Working:
Pressure in a continuous static fluid is
the same at any horizontal level so,
Pressure at B= Pressure at C
Pb=Pc

From left hand arm:


Pb=Pa+ρgh1

From right arm:


Pc=Patmospheric+ρmangh2

Since we're measuring gage pressure, we can substract Patmospheric, giving


Pb=Pc
Pa=ρmangh2-ρgh1
If the fluid being measured is a gas, the density will probably be very
low in comparison to the density of the manometric fluid i.e. rman >>
r. In this case the term ρgh1 can be neglected, and the gauge pressure
give by:

Pa=ρmangh2
Inclined Tube Manometers:

To measure small pressure changes, this type of


manometers are used.
One leg of the manometer is inclined at an angle,
and the differential reading is measured along the
inclined tube.
Manometer used in steam engines
A manometer with digital interface
End of slideshow

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