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Flow measurement
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Flow measurement Important variable in plant operation
Measured primarily for determining the amount of fluid flowing
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Fluid types Less or highly viscous Clear or opaque Clean or dirty
Wet or dry Erosive or corrosive
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Fluid flow type Stream line or viscous or laminar Turbulent
Combined viscous or turbulent
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Fluid flow – steam line Occurs at low velocities
All parts flowing in one direction parallel to walls Change in cross section means change in direction of flow Pressure drop ∞ flow velocity
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Fluid flow - turbulent Liquid behaves as independent entities
Pressure varies with Kinetic energy Prop. To square of turbulent flow velocity
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Flow meter Flow measured as a quantity or rate of flow
In terms of weight or flow
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Types of flow meters Head type meters Rota meter (variable –area type)
Electromagnetic type Mechanical type Anemometer Ultrasonic flow meter Vortex flow meter
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Head type flowmeter Produce a pressure difference when fluid flow is maintained through them Diff. Pressure propotional to square of flow rate Uses Bernoulli’s theorem
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Bernoulli's theorm
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Bernoulli’s theorm Pressure head + velocity head + elevation head (at a point) = pressure head + velocity head + elevation head ( at some other point) + loss due to friction
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Bernoulli’s theorm For in compressible liquid
Q = EA2 sqrt ( (2gPd)/ ρ) For compressible liquid Q = EA2 φ sqrt ( (2gPd)/ ρ1)
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Head flow meter -types Orifice meter Venturimeter Flow nozzle
Pitot tube
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Orifice meters
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Orifice meters Head type meter used for large &medium pipes
Orifice plate- inserted to pipe to create a partial restriction to flow Pressure before orifice plate rises and pressure after it reduces but velocity increases
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Pressure differnces
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Position where velocity is maximum & static pressure is min is known as vena contracta
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Diff. Pressure calculation
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Orifice meter Usually pressure tapping is at a distance D & D/2 for up stream & down stream D- diameter of pipe For pipe size 0.05m or more Orifice to pipe diameter is 0.6
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Friction & contraction effects are considered
Friction & contraction effects are considered. So new term is incorporated called discharge co-efficient © C varies with Reynolds's no. Q = 2.35 X c d2 E √ (Pd /ρ)
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Flow measurement
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Construction Normal thickness m for pipe with diameter 0.15 m & for larger Materials used bronze, stainless steel, phosphor bronze, gun metal etc.
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Orifice plate & flanges
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Types of orifice plates
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Types of orifice plate If fluid contains suspended materials , particles tend to settle down in orifice,- to avoid this- segmented or ccentric type used
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Advantage Simple, reliable
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Disadvantage Poor accuracy, poor calibration maintenance problems
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Venturi meter
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Three sections- venturimeter
Converging conical section at up stream Cylindrical throat- provides a panel for measurement- pressure decreased- flow rate steady Diverging recovery outlet
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Principle- Bernoulli's theorm
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dimensions
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Throat to diameter ratio 0.25 to 0.75
Discharge co-efficient – 0.9 to 1.0 Made of cast iron, gun metal, stainless steel May be circular, square or rectangular
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features Calculation similar to orifice plate
Better than orifice meter
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Flow nozzle
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Flow nozzle
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Flow nozzle Principle- Bernoulli’s theorem Simple
Used in higher velocities, difficult to maintain, costly Used in gases
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Pitot tube
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Pitot tube Cylindrical probe inserted into fluid
Velocity head converted into impact pressure Diff b/w static pressure & impact pressure- proptional to flow
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By introduction of pitot tube
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Pitot tube
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Features Easy to install No pressure loss
Sensitive to up stream disturbance Not used for sticky and dirty fluids
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