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Name: Pritesh Parikh 
Class: 5th , B 
Dept: I.C
Flow Through A Pipe 
Idealized Real World 
V V 
Pipe Velocity Profile
Flow Profile Correlation 
Steam 
Water 
Heavy Crude 
V 
 Velocity profile is a predictable function of Reynolds 
number. Fluids with the same Reynolds number will have 
similar velocity profiles.
Characterization of Fluid Flow 
 Types of Flow 
RE < 2100 
 RE >3000 
Laminar 
Transitional 
Turbulent
Volumetric Flowrate (Q) 
V 
A 
Q 
Volume = Area x Length 
Volume Flow = Area x Velocity
Mass Flowrate (m) 
Mass Flow m = Qp 
= AV 
Where m = Mass Flow 
Q = Volume Flow 
 = Fluid Density 
Mass = Volume x Density 
V 
A 
m 
Q=VA
Flowmeter Performance 
 Accuracy 
 Repeatability 
 Linearity 
 Rangeability
 Doppler process 
Transit time difference process
PRINCIPLE 
Doppler flow meters operate similarly to the radar speed traps used on the road. 
An emitter sends ultrasonic waves at frequency f1 (approx. 1 - 5 MHz) at angle a into the 
flowing product. The ultrasonic waves strike particles moving through the sound field at 
velocity Vp. The wavelength of the emitted wave at frequency f1 amounts to: 
λ1= C/f1 
Due to its rate of motion Vp, the particle moving away from the emitter ‘sees’ the 
wavelength: λp= (C-Vp COS α ) / f1 
In turn, the receiver now ‘sees’ the reflected frequency out of line because the reflecting 
particle is moving further away all the time, and the wavelength changes as follows: 
λp= (C- 2Vp COS α ) / f1 
For Vp « c we obtain: 
This difference in frequency is therefore a linear measure of the rate of motion o
The fluid velocity can be expressed as 
v = c ( f2 - f 1 ) / 2 f1 cosΦ (1) 
where 
f2 = received frequency 
f1 = transmission frequency 
v = fluid flow velocity 
Φ = the relative angle between the transmitted ultrasonic beam and the fluid flow 
c = the velocity of sound in the fluid
Doppler meters may be used where other meters 
don't work. This might be liquid slurries, aerated 
liquids or liquids with some small or large amount of 
suspended solids. The advantages can be summarized 
to : 
Obstruct less flow 
Can be installed outside the pipes(clamp on version) 
Low flow cut off 
Corrosion resistant 
Relative low power consumption
•Needs a sufficient number of reflecting particles in the medium 
on a continuous basis. 
•The particles must be large enough to provide sufficiently good reflections 
(> ./4). 
•The sound velocity of the particulate material must be distinctly different from that of 
the 
liquid. 
• The sound velocity of the medium is directly included in the measurement result. 
• The particle velocity often differs noticeably from the velocity of the liquid. 
•Usually, the ultrasonic field extends only into the peripheral flow. That is why indication 
is 
heavily dependent on the flow profile. 
• The velocity needs to be far higher than the critical velocity at which particles settle. 
•Very long unimpeded inlet runs (20 x D) are needed to allow conclusions to be drawn 
from the flow rate.
1. Medical applications (measurement of the blood flow) 
Absolute accuracy is not a requirement. Only good dynamic performance is required which 
reproduces blood pulsation in the veins and arteries in great detail for diagnosis (similar to 
an ECG). The sensor pad is simply applied to the skin (with coupling gel) avoiding bleeding. 
2. Measurement of the flow of slurries (e.g. iron ore) 
By its very nature, particle concentration is high. The sound velocity of the particles also 
differs sufficiently from that of the carrier medium. The flowmeter is often used to provide 
a signal when the velocity drops below the critical level. The penetration depth of the 
ultrasonic 
beam, which depends on the concentration, and also the flow profile tend to cause 
considerable errors of measurement.
To diagonally canoe across a river with 
the current flow takes less time than 
against the current flow. 
The stronger the current,then faster 
the crossing than against it. 
This difference between the travel 
times with and against the current is 
directly proportional to the flow velocity 
of the river.
This effect is exploited by ultrasonic 
flowmeters to determine flow velocity and 
flow rate. Electro-Acoustic 
converters(piezo’s) emit and receive short 
electronic pulses through the product 
flowing in the tube
V = L/t ; (where L= D/sinα ) 
V = {D(Tba – Tab )}/ {sin(2α)(Tba .Tab)} 
Q= V*A = [D3π (Tba - Tab)] / [4 sin(2α) . (Tab Tba )]
Use reflect mode whenever possible, 
however for short pipe run and plastic 
pipes use direct method 
 For reflect method, the spacing 
between transducers is to be adjusted 
according to pipe wall thickness and 
hence procedure becomes complex. 
** Z-method also called direct method
•Obstruction less flow 
•Pressure drop equal to an equivalent length of 
straight pipe 
•Unaffected by changes in temperature, density or 
viscosity 
•Bi-directional flow capability 
•Corrosion-resistant 
•Accuracy about 1% of flow rate 
•Relative low power consumption
 The pipe wal should be cleaned and be rust free. 
Pipe is full. 
Fluid media conduct sonic energy. 
Avoid installing transducer anywhere near a 
downstream of throttling valve , mixing tank, etc. 
 Clamp On method 
In-Line method
The more the no of measuring paths= Higher the accuracy at 
varying “Reynolds number” 
CLAMP ON TYPE 
IN-LINE 
TYPE
The operating principle for the ultrasonic 
flowmeter requires reliability high frequency sound 
transmitted across the pipe. 
 Liquid slurries with excess solids or with 
entrained gases may block the ultrasonic pulses. 
Ultrasonic flowmeters are not recommended for 
primary sludge, mixed liquor, aerobically digested 
sludge, dissolved air flotation thickened sludge and 
its liquid phase, septic sludge and activated carbon 
sludge. 
Liquids with entrained gases cannot be measured 
reliably.
Ultrasonic flow measurement

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Ultrasonic flow measurement

  • 1. Name: Pritesh Parikh Class: 5th , B Dept: I.C
  • 2. Flow Through A Pipe Idealized Real World V V Pipe Velocity Profile
  • 3. Flow Profile Correlation Steam Water Heavy Crude V  Velocity profile is a predictable function of Reynolds number. Fluids with the same Reynolds number will have similar velocity profiles.
  • 4. Characterization of Fluid Flow  Types of Flow RE < 2100  RE >3000 Laminar Transitional Turbulent
  • 5. Volumetric Flowrate (Q) V A Q Volume = Area x Length Volume Flow = Area x Velocity
  • 6. Mass Flowrate (m) Mass Flow m = Qp = AV Where m = Mass Flow Q = Volume Flow  = Fluid Density Mass = Volume x Density V A m Q=VA
  • 7. Flowmeter Performance  Accuracy  Repeatability  Linearity  Rangeability
  • 8.  Doppler process Transit time difference process
  • 9. PRINCIPLE Doppler flow meters operate similarly to the radar speed traps used on the road. An emitter sends ultrasonic waves at frequency f1 (approx. 1 - 5 MHz) at angle a into the flowing product. The ultrasonic waves strike particles moving through the sound field at velocity Vp. The wavelength of the emitted wave at frequency f1 amounts to: λ1= C/f1 Due to its rate of motion Vp, the particle moving away from the emitter ‘sees’ the wavelength: λp= (C-Vp COS α ) / f1 In turn, the receiver now ‘sees’ the reflected frequency out of line because the reflecting particle is moving further away all the time, and the wavelength changes as follows: λp= (C- 2Vp COS α ) / f1 For Vp « c we obtain: This difference in frequency is therefore a linear measure of the rate of motion o
  • 10. The fluid velocity can be expressed as v = c ( f2 - f 1 ) / 2 f1 cosΦ (1) where f2 = received frequency f1 = transmission frequency v = fluid flow velocity Φ = the relative angle between the transmitted ultrasonic beam and the fluid flow c = the velocity of sound in the fluid
  • 11. Doppler meters may be used where other meters don't work. This might be liquid slurries, aerated liquids or liquids with some small or large amount of suspended solids. The advantages can be summarized to : Obstruct less flow Can be installed outside the pipes(clamp on version) Low flow cut off Corrosion resistant Relative low power consumption
  • 12. •Needs a sufficient number of reflecting particles in the medium on a continuous basis. •The particles must be large enough to provide sufficiently good reflections (> ./4). •The sound velocity of the particulate material must be distinctly different from that of the liquid. • The sound velocity of the medium is directly included in the measurement result. • The particle velocity often differs noticeably from the velocity of the liquid. •Usually, the ultrasonic field extends only into the peripheral flow. That is why indication is heavily dependent on the flow profile. • The velocity needs to be far higher than the critical velocity at which particles settle. •Very long unimpeded inlet runs (20 x D) are needed to allow conclusions to be drawn from the flow rate.
  • 13. 1. Medical applications (measurement of the blood flow) Absolute accuracy is not a requirement. Only good dynamic performance is required which reproduces blood pulsation in the veins and arteries in great detail for diagnosis (similar to an ECG). The sensor pad is simply applied to the skin (with coupling gel) avoiding bleeding. 2. Measurement of the flow of slurries (e.g. iron ore) By its very nature, particle concentration is high. The sound velocity of the particles also differs sufficiently from that of the carrier medium. The flowmeter is often used to provide a signal when the velocity drops below the critical level. The penetration depth of the ultrasonic beam, which depends on the concentration, and also the flow profile tend to cause considerable errors of measurement.
  • 14. To diagonally canoe across a river with the current flow takes less time than against the current flow. The stronger the current,then faster the crossing than against it. This difference between the travel times with and against the current is directly proportional to the flow velocity of the river.
  • 15. This effect is exploited by ultrasonic flowmeters to determine flow velocity and flow rate. Electro-Acoustic converters(piezo’s) emit and receive short electronic pulses through the product flowing in the tube
  • 16. V = L/t ; (where L= D/sinα ) V = {D(Tba – Tab )}/ {sin(2α)(Tba .Tab)} Q= V*A = [D3π (Tba - Tab)] / [4 sin(2α) . (Tab Tba )]
  • 17. Use reflect mode whenever possible, however for short pipe run and plastic pipes use direct method  For reflect method, the spacing between transducers is to be adjusted according to pipe wall thickness and hence procedure becomes complex. ** Z-method also called direct method
  • 18. •Obstruction less flow •Pressure drop equal to an equivalent length of straight pipe •Unaffected by changes in temperature, density or viscosity •Bi-directional flow capability •Corrosion-resistant •Accuracy about 1% of flow rate •Relative low power consumption
  • 19.  The pipe wal should be cleaned and be rust free. Pipe is full. Fluid media conduct sonic energy. Avoid installing transducer anywhere near a downstream of throttling valve , mixing tank, etc.  Clamp On method In-Line method
  • 20. The more the no of measuring paths= Higher the accuracy at varying “Reynolds number” CLAMP ON TYPE IN-LINE TYPE
  • 21. The operating principle for the ultrasonic flowmeter requires reliability high frequency sound transmitted across the pipe.  Liquid slurries with excess solids or with entrained gases may block the ultrasonic pulses. Ultrasonic flowmeters are not recommended for primary sludge, mixed liquor, aerobically digested sludge, dissolved air flotation thickened sludge and its liquid phase, septic sludge and activated carbon sludge. Liquids with entrained gases cannot be measured reliably.