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Fluid Mechanics
UNIT 1
Chapter 2: Pressure Measurement
ANKITENDRAN MISHRA
Asst. professor
Introduction to PRESSURE
 Pressure is defined as the force exerted by
the fluid per unit area. (compressive
nature)
 Unit = N/m2 or bar
 Static fluid has no shear force, only
normal force is present.
 Pressure exerted by environmental mass is
atmospheric pressure (1.01325 bar, 15ºC)
Gauge pressure
 Pabs=Pgauge + Patms. Absolute pressure
is measured with respect to zero pressure.
 Pressure less than atmospheric pressure is
vaccum pressure.
 There can be +ve or –ve gauge, but noe
negative absolute pressure.
 Which instrument is used to measure
the atmospheric pressure?
Pascal’s Law
 The pressure at a point is equal in all
directions in a static fluid (or) pressure
applied at a point is equally distributed in
all directions.
 Applicable if SF=0
 Also in ideal flowing fluid.
Hydrostatic law
 Gives variation of pressure in vertical
direction.
𝑑𝑝
𝑑ℎ
= w
 Pressure at any depth ‘h’
P=ρgh
 Pressure geing a function of only ‘h’, is
sometimes expressed in terms of height of
fluid coloumn.
Manometry
 The principle of finding pressure by using
hydrostatic law.
 Some commonly used:
I. Piezometer – used for moderate liquid
pressure measurement only
II. Manometers – Simple manometers
Differential manometers
Piezometers
Pressure Transducers
 Classified into
I. Gravitational type – simple manometers
II. Elastic type – capsule, bellows and
bourdon
CAPSULE – consists of two annular
corrugated metal diaphragm. For larger
displacement multiple capsule elements are
used in tandem.
BELLOWS – used for low pressure
measurement. Thin walled cylindrical shell
with deep convolutions.
Materials used for fabrication is
 Beryllium copper
 Nickle alloys
 Phosphor Bronze
 Stainless Steel
Bourdon- curved or twisted metallic tube
with elliptical cross section
They have high sensitivity and good
repeatability.
They are shaped in
 C-shaped – mechanical pointer
 Helical- 5 to 10 turns
 Spiral
 Twisted
 The deflection of bourdon pressure gauge
depends upon:
1. Internal and external pressure difference
2. Radius of curvature
3. Tube length
4. Ratio of minimum to major cross
sectional area
5. Angle of twist
LVDT Transducers
 Bourdon or diaphragm is coupled to the
core of LVDT.
 On application of pressure diaphragm
deflects and movement of core takes
place.

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fluid mechanics- pressure measurement

  • 1. Fluid Mechanics UNIT 1 Chapter 2: Pressure Measurement ANKITENDRAN MISHRA Asst. professor
  • 2. Introduction to PRESSURE  Pressure is defined as the force exerted by the fluid per unit area. (compressive nature)  Unit = N/m2 or bar  Static fluid has no shear force, only normal force is present.  Pressure exerted by environmental mass is atmospheric pressure (1.01325 bar, 15ºC)
  • 3. Gauge pressure  Pabs=Pgauge + Patms. Absolute pressure is measured with respect to zero pressure.  Pressure less than atmospheric pressure is vaccum pressure.  There can be +ve or –ve gauge, but noe negative absolute pressure.  Which instrument is used to measure the atmospheric pressure?
  • 4. Pascal’s Law  The pressure at a point is equal in all directions in a static fluid (or) pressure applied at a point is equally distributed in all directions.  Applicable if SF=0  Also in ideal flowing fluid.
  • 5. Hydrostatic law  Gives variation of pressure in vertical direction. 𝑑𝑝 𝑑ℎ = w  Pressure at any depth ‘h’ P=ρgh  Pressure geing a function of only ‘h’, is sometimes expressed in terms of height of fluid coloumn.
  • 6. Manometry  The principle of finding pressure by using hydrostatic law.  Some commonly used: I. Piezometer – used for moderate liquid pressure measurement only II. Manometers – Simple manometers Differential manometers
  • 8. Pressure Transducers  Classified into I. Gravitational type – simple manometers II. Elastic type – capsule, bellows and bourdon CAPSULE – consists of two annular corrugated metal diaphragm. For larger displacement multiple capsule elements are used in tandem.
  • 9. BELLOWS – used for low pressure measurement. Thin walled cylindrical shell with deep convolutions. Materials used for fabrication is  Beryllium copper  Nickle alloys  Phosphor Bronze  Stainless Steel
  • 10. Bourdon- curved or twisted metallic tube with elliptical cross section They have high sensitivity and good repeatability. They are shaped in  C-shaped – mechanical pointer  Helical- 5 to 10 turns  Spiral  Twisted
  • 11.  The deflection of bourdon pressure gauge depends upon: 1. Internal and external pressure difference 2. Radius of curvature 3. Tube length 4. Ratio of minimum to major cross sectional area 5. Angle of twist
  • 12. LVDT Transducers  Bourdon or diaphragm is coupled to the core of LVDT.  On application of pressure diaphragm deflects and movement of core takes place.