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FLUID AND PRESSURE
MEASUREMENTS
BY- SANCHIT DHANKHAR
Fluid and Pressure measurements
• Measurement of flow‐
– Classification of flow meters,
– venturimeter,
– orificemeter,
– pitot tube,
– rotameter
– current flow meters
• Pressure measurement‐
– Classification of manometers,
– simple manometer/
– U tube manometer and modifications
(Differential/inclined),
– Bourdon gauge
MANOMETERS
Manometers are the devices used for measuring the pressure
difference
Different type of manometers are there they are
1) Simple manometer
2) Differential manometer
3) Inclined manometer
Ø This manometer is the most
commonly used one
Ø It consists of a glass U shaped tube
filled with a liquid A- of density ρA kg
/meter cube and above A the arms are
filled with liquid B of density ρB
Ø The liquid A and B are immiscible and
the interference can be seen clearly
Ø If two different pressures are applied
on the two arms the meniscus of the
one liquid will be
higher than the other
SIMPLE MANOMETER
Ø Let pressure at point 1
will be P1 Pascal's and
point 5 will be P2
Pascal's
Ø The pressure at point 2
can be written as
=P1+ (m + R )ρB g
since ∆P = ∆ h ρ g
(m + R ) = distance from 3 to 5
Since the points 2 and 3 are at
same height the pressure Pressure
at 3 =P1+ (m + R ) ρ B g
Pressure at 4 is less than pressure
at point 3 by R ρA g Pressure
at 5 is still less than
pressure at point 4 by mρ B g
This can be summarise as
P1 + (m + R ) ρ B g - R ρA g - mρ B g= P2
∆P= P1-P2=R (ρ A- ρ B )g
DIFFERENTIAL MANOMETERS
Ø These manometers are suitable for measurement of small
pressure differences
Ø It is also known as two – Fluid U- tube manometer
Ø It contains two immiscible liquids A and B having nearly same
densities
Ø The U tube contains of enlarged chambers on both limbs,
Ø Using the principle of simple manometer the pressure
differences can be written as
∆P =P1 –P2 =R (ρc – ρA) g
DIFFRENTIAL MANOMETER
Pressure at different points
DIFFRENTIAL MANOMETER
∆P =P1 –P2 =R (ρc – ρA) g
Hence smaller the difference between
ρc and ρAlarger will be R
INCLINED TUBE MANOMETERS
Many applications require accurate measurement of low
pressure such as drafts and very low differentials, primarily in air and gas
installations.
In these applications the manometer is arranged with the
indicating tube inclined,
This enables the measurement of small pressure changes with
increased accuracy.
P1 –P2 = g R (ρ A - ρ B) sin α
sin α=R/Ri
R=Risin α
MEASUREMENT OF RATE OF
FLOW OF FLUIDS
Methods of measurement are
Ø Direct weighing or measuring
Ø Hydrodynamic methods
ü Orifice meter ü
Venturi meter ü
Pitot meter
ü Rotameter
Ø Direct displacement meter
Ø Disc meters
Ø Current meter
DIRECT WEIGHING OR MEASURING
The liquid flowing through a pipe is collected for
specific period at any point and weighed or
measured, and the rate of flow can be
determined.
Gases can not be determined by this method
ORIFICE METER
Variable head meter
PRINCIPLE
• Ø Orifice meter is a thin plate containing a narrow and sharp aperture.
• Ø When a fluid stream is allowed to pass through a narrow constriction the velocity of the fluid
increase compared to up stream
• Ø This results in decrease in pressure drop and the difference in the pressure may be read from a
manometer
THANKYOU

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Fluid and pressure measurements- Pharmaceutical Engineering

  • 2. Fluid and Pressure measurements • Measurement of flow‐ – Classification of flow meters, – venturimeter, – orificemeter, – pitot tube, – rotameter – current flow meters • Pressure measurement‐ – Classification of manometers, – simple manometer/ – U tube manometer and modifications (Differential/inclined), – Bourdon gauge
  • 3. MANOMETERS Manometers are the devices used for measuring the pressure difference Different type of manometers are there they are 1) Simple manometer 2) Differential manometer 3) Inclined manometer
  • 4. Ø This manometer is the most commonly used one Ø It consists of a glass U shaped tube filled with a liquid A- of density ρA kg /meter cube and above A the arms are filled with liquid B of density ρB Ø The liquid A and B are immiscible and the interference can be seen clearly Ø If two different pressures are applied on the two arms the meniscus of the one liquid will be higher than the other SIMPLE MANOMETER
  • 5. Ø Let pressure at point 1 will be P1 Pascal's and point 5 will be P2 Pascal's Ø The pressure at point 2 can be written as =P1+ (m + R )ρB g since ∆P = ∆ h ρ g (m + R ) = distance from 3 to 5
  • 6. Since the points 2 and 3 are at same height the pressure Pressure at 3 =P1+ (m + R ) ρ B g Pressure at 4 is less than pressure at point 3 by R ρA g Pressure at 5 is still less than pressure at point 4 by mρ B g This can be summarise as P1 + (m + R ) ρ B g - R ρA g - mρ B g= P2 ∆P= P1-P2=R (ρ A- ρ B )g
  • 7. DIFFERENTIAL MANOMETERS Ø These manometers are suitable for measurement of small pressure differences Ø It is also known as two – Fluid U- tube manometer Ø It contains two immiscible liquids A and B having nearly same densities Ø The U tube contains of enlarged chambers on both limbs, Ø Using the principle of simple manometer the pressure differences can be written as ∆P =P1 –P2 =R (ρc – ρA) g
  • 10. DIFFRENTIAL MANOMETER ∆P =P1 –P2 =R (ρc – ρA) g Hence smaller the difference between ρc and ρAlarger will be R
  • 11. INCLINED TUBE MANOMETERS Many applications require accurate measurement of low pressure such as drafts and very low differentials, primarily in air and gas installations. In these applications the manometer is arranged with the indicating tube inclined, This enables the measurement of small pressure changes with increased accuracy. P1 –P2 = g R (ρ A - ρ B) sin α
  • 13. MEASUREMENT OF RATE OF FLOW OF FLUIDS Methods of measurement are Ø Direct weighing or measuring Ø Hydrodynamic methods ü Orifice meter ü Venturi meter ü Pitot meter ü Rotameter Ø Direct displacement meter Ø Disc meters Ø Current meter
  • 14. DIRECT WEIGHING OR MEASURING The liquid flowing through a pipe is collected for specific period at any point and weighed or measured, and the rate of flow can be determined. Gases can not be determined by this method
  • 16. PRINCIPLE • Ø Orifice meter is a thin plate containing a narrow and sharp aperture. • Ø When a fluid stream is allowed to pass through a narrow constriction the velocity of the fluid increase compared to up stream • Ø This results in decrease in pressure drop and the difference in the pressure may be read from a manometer
  • 17.