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Venturimeter
It is a device, which is used for measuring the
rate of flow of fluid through a pipe.
It consists of an
• Inlet section followed by
• Convergent section
• A cylindrical throat and
• A gradually divergent cone.
Principle
The basic principle on which it works is that by reducing
the cross sectional area of the flow passage, a pressure
difference is created and the measurement of the pressure
difference enables the determination of the discharge
through the pipe.
OBJECT
1. TO CALIBRATE THE VENTURIMETER.
2. TO OBTAIN A GRAPH BETWEEN DISCHARGE
COEFFICIENT ‘K’ AND LOG10RE.
WORKING.
AS THE CROSS SECTION OF THE THROAT
IS SMALLER THAN THE CROSS
SECTIONAL AREA OF THE INLET SECTION,
THE VELOCITY OF FLOW AT THE THROAT
WILL BECOME GREATER THAN THAT AT
THE INLET SECTION, ACCORDING TO
CONTINUITY EQUATION.
THE INCREASE IN THE VELOCITY OF FLOW AT THE
THROAT RESULT IN DECREASE IN PRESSURE AT THIS
SECTION. AS SUCH A PRESSURE IS DEVELOPED
BETWEEN THE INLET SECTION AND THE THROAT OF
VENTURIMETER.
THIS PRESSURE DIFFERENCE CAN BE DETERMINED
EITHER BY CONNECTING DIFFERENTIAL
MANOMETER BETWEEN THE PRESSURE TAPS
PROVIDED AT THESE SECTIONS OR BY CONNECTING
THE SEPARATE PRESSURE GAUGE AT EACH OF THE
PRESSURE TAPS. THE MEASURE OF THE PRESSURE
DIFFERENCE BETWEEN THESE SECTIONS ENABLES
THE RATE OF FLOW OF FLUID TO BE CALCULATED.
THE CROSS SECTIONAL AREA OF THE THROAT
OF VENTURIMETER SHOULD NOT BE REDUCED
UNTO A CERTAIN LIMIT, OTHERWISE THE
PRESSURE AT THIS SECTION DROPS BELOW
THE VAPOR PRESSURE OF THE FLOWING
FLUID THAN THE FLOWING FLUID MAY
VAPORIZE AND THE VAPOR POCKETS MAY BE
FORMED IN THE LIQUID AT THIS SECTION.
THEORY
BY APPLYING BERNOULLI THEOREM
BETWEEN ENTRANCE AND THROAT
SECTIONS, THE RELATION FOR DISCHARGE
CAN BE DERIVED.Q = K
A√2g √∆h
√((D/d)4
-1)
= K.C. √∆h
Here, ∆h is the difference of piezometric.
HEADS BETWEEN ENTRANCE AND THROAT SECTION AND
IS KNOWN AS “VENTURI HEAD” C IS CALLED CONSTANT OF
VENTURIMETER AND DEPENDS UPON GEOMETRIC
PARAMETERS OF GIVEN VENTURIMETER AND K IS CALLED
DISCHARGE COEFFICIENT.
IT TAKES ONTO ACCOUNT THE ENERGY LOSS BETWEEN
TWO SECTIONS AND DEPENDS ON THE RE. USUALLY K
VARIES FROM 0.96 TO 0.99 FOR RE>105
. THE REYNOLDS NO
RE IS GIVEN AS U2 D/ =4 Q/ΠD
IS THE KINEMATIC VISCOSITY OF FLUID AND DEPENDS ON
THE TEMPERATURE.
EXPERIMENTAL SETUPEXPERIMENTAL SETUP
THE VENTURIMETER IS FITTED IN A PIPE
LINE, TO WHICH AN INLET VALVE IS
FITTED. THE PRESSURE TAPS ARE
PROVIDED AT ENTRANCE SECTION 1 AND
THROAT SECTION 2. A U-TUBE MERCURY
MANOMETER IS FITTED BETWEEN THESE
POINTS 1 AND 2. WATER TANK AND A
STOP WATCH IS USED TO MEASURE THE
DISCHARGE.
PROCEDURE
1. REGULATE THE INLET VALVE TO ALLOW A STEADY
FLOW THROUGH VENTURIMETER
2. COLLECT THE CERTAIN VOLUME OF WATER IN THE
TANK AND NOTE THE TIME T
3. NOTE THE MANOMETER READING IN THE LEFT
LIMB (H1) AND RIGHT LIMB OF MANOMETER (H2).
THIS DIFFERENCE IS X.
4. REPEAT THE STEPS 1 TO 3 FOR OTHER RATE OF
FLOW.
5. TAKE SEVEN TO EIGHT SETS OF READINGS
CALCULATIONSCALCULATIONS
1. THE VENTURIMETER CONSTANT C IS CALCULATED AS.
C = A√2G /√((D/D)4-1)
2. THE DISCHARGE Q IS THEN CALCULATED BY VOLUMETRIC
METHOD
3. THE DEFLECTION OF MERCURY MANOMETER X IS CONVERTED
INTO EQUIVALENT HEAD OF FLOWING LIQUID WATER)
H = X (SM/S - 1) = X (13.6/1 – 1 ) = 12.6XH
WHERE SM IS SPECIFIC GRAVITY OF MEASURING FLUID AND S
IS THE SPECIFIC GRAVITY OF WATER.
4. NOW THE SQUARE ROOT OF H IS DETERMINED.
5. THE DISCHARGE COEFFICIENT K IS CALCULATED.
K = Q/C√H
6. FINALLY THE RE IS CALCULATED CORRESPONDING TO
DIFFERENT SET OF DISCHARGES.
FORMULA USED
1. Q = K.HN
2. K = CD.A1.A2√2G
√(A1
2
-A2
2
)
WHERE ,
Q= DISCHARGE (RATE OF FLOW)
K= CONSTANT
H= DIFFERENTIAL HEAD
CD= COEFFICIENT OF DISCHARGE
A1= AREA OF INLET SECTION
A2= AREA OF THROAT SECTION
G= GRAVITATIONAL ACCELERATION
N= 0.5(APPR.)
OBSERVATION TABLES
TABLE 1
DISCHARGE MEASUREMENT TABLE
S.No. Area
of
collecting
tank
Depth Of Water collected Volume
of
water
collected
Time
of
collectio
n
Discharg
e
Q =
(A1∆h/t)
cumec
Initia
reading
Final
reading
depth
S.NO. Manometer reading Head
H cm
h½ K Re LogRe
I
Limb
II
Limb
Diff.
‘xcm
Table 2
Dia of pipe D=
Dia of throat d=
Area of collecting tank = A
Lab temperature = , kinematic viscosity = m2/sec
PRESENTATION OF RESULT
 PLOT A GRAPH BETWEEN Q AND √H ON AN ORDINARY
GRAPH. IT WILL BE A STRAIGHT LINE PASSING
THROUGH THE ORIGIN
 PLOT ANOTHER GRAPH BETWEEN K AND RE ON A SEMI
LOGARTHMIC GRAPH SHEET
 AVERAGE VALUE OF K =…..

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Venturimeter

  • 1. Venturimeter It is a device, which is used for measuring the rate of flow of fluid through a pipe. It consists of an • Inlet section followed by • Convergent section • A cylindrical throat and • A gradually divergent cone.
  • 2. Principle The basic principle on which it works is that by reducing the cross sectional area of the flow passage, a pressure difference is created and the measurement of the pressure difference enables the determination of the discharge through the pipe.
  • 3. OBJECT 1. TO CALIBRATE THE VENTURIMETER. 2. TO OBTAIN A GRAPH BETWEEN DISCHARGE COEFFICIENT ‘K’ AND LOG10RE.
  • 4. WORKING. AS THE CROSS SECTION OF THE THROAT IS SMALLER THAN THE CROSS SECTIONAL AREA OF THE INLET SECTION, THE VELOCITY OF FLOW AT THE THROAT WILL BECOME GREATER THAN THAT AT THE INLET SECTION, ACCORDING TO CONTINUITY EQUATION.
  • 5. THE INCREASE IN THE VELOCITY OF FLOW AT THE THROAT RESULT IN DECREASE IN PRESSURE AT THIS SECTION. AS SUCH A PRESSURE IS DEVELOPED BETWEEN THE INLET SECTION AND THE THROAT OF VENTURIMETER. THIS PRESSURE DIFFERENCE CAN BE DETERMINED EITHER BY CONNECTING DIFFERENTIAL MANOMETER BETWEEN THE PRESSURE TAPS PROVIDED AT THESE SECTIONS OR BY CONNECTING THE SEPARATE PRESSURE GAUGE AT EACH OF THE PRESSURE TAPS. THE MEASURE OF THE PRESSURE DIFFERENCE BETWEEN THESE SECTIONS ENABLES THE RATE OF FLOW OF FLUID TO BE CALCULATED.
  • 6. THE CROSS SECTIONAL AREA OF THE THROAT OF VENTURIMETER SHOULD NOT BE REDUCED UNTO A CERTAIN LIMIT, OTHERWISE THE PRESSURE AT THIS SECTION DROPS BELOW THE VAPOR PRESSURE OF THE FLOWING FLUID THAN THE FLOWING FLUID MAY VAPORIZE AND THE VAPOR POCKETS MAY BE FORMED IN THE LIQUID AT THIS SECTION.
  • 7. THEORY BY APPLYING BERNOULLI THEOREM BETWEEN ENTRANCE AND THROAT SECTIONS, THE RELATION FOR DISCHARGE CAN BE DERIVED.Q = K A√2g √∆h √((D/d)4 -1) = K.C. √∆h Here, ∆h is the difference of piezometric.
  • 8. HEADS BETWEEN ENTRANCE AND THROAT SECTION AND IS KNOWN AS “VENTURI HEAD” C IS CALLED CONSTANT OF VENTURIMETER AND DEPENDS UPON GEOMETRIC PARAMETERS OF GIVEN VENTURIMETER AND K IS CALLED DISCHARGE COEFFICIENT. IT TAKES ONTO ACCOUNT THE ENERGY LOSS BETWEEN TWO SECTIONS AND DEPENDS ON THE RE. USUALLY K VARIES FROM 0.96 TO 0.99 FOR RE>105 . THE REYNOLDS NO RE IS GIVEN AS U2 D/ =4 Q/ΠD IS THE KINEMATIC VISCOSITY OF FLUID AND DEPENDS ON THE TEMPERATURE.
  • 9. EXPERIMENTAL SETUPEXPERIMENTAL SETUP THE VENTURIMETER IS FITTED IN A PIPE LINE, TO WHICH AN INLET VALVE IS FITTED. THE PRESSURE TAPS ARE PROVIDED AT ENTRANCE SECTION 1 AND THROAT SECTION 2. A U-TUBE MERCURY MANOMETER IS FITTED BETWEEN THESE POINTS 1 AND 2. WATER TANK AND A STOP WATCH IS USED TO MEASURE THE DISCHARGE.
  • 10.
  • 11. PROCEDURE 1. REGULATE THE INLET VALVE TO ALLOW A STEADY FLOW THROUGH VENTURIMETER 2. COLLECT THE CERTAIN VOLUME OF WATER IN THE TANK AND NOTE THE TIME T 3. NOTE THE MANOMETER READING IN THE LEFT LIMB (H1) AND RIGHT LIMB OF MANOMETER (H2). THIS DIFFERENCE IS X. 4. REPEAT THE STEPS 1 TO 3 FOR OTHER RATE OF FLOW. 5. TAKE SEVEN TO EIGHT SETS OF READINGS
  • 12. CALCULATIONSCALCULATIONS 1. THE VENTURIMETER CONSTANT C IS CALCULATED AS. C = A√2G /√((D/D)4-1) 2. THE DISCHARGE Q IS THEN CALCULATED BY VOLUMETRIC METHOD 3. THE DEFLECTION OF MERCURY MANOMETER X IS CONVERTED INTO EQUIVALENT HEAD OF FLOWING LIQUID WATER) H = X (SM/S - 1) = X (13.6/1 – 1 ) = 12.6XH WHERE SM IS SPECIFIC GRAVITY OF MEASURING FLUID AND S IS THE SPECIFIC GRAVITY OF WATER. 4. NOW THE SQUARE ROOT OF H IS DETERMINED. 5. THE DISCHARGE COEFFICIENT K IS CALCULATED. K = Q/C√H 6. FINALLY THE RE IS CALCULATED CORRESPONDING TO DIFFERENT SET OF DISCHARGES.
  • 13. FORMULA USED 1. Q = K.HN 2. K = CD.A1.A2√2G √(A1 2 -A2 2 ) WHERE , Q= DISCHARGE (RATE OF FLOW) K= CONSTANT H= DIFFERENTIAL HEAD CD= COEFFICIENT OF DISCHARGE A1= AREA OF INLET SECTION A2= AREA OF THROAT SECTION G= GRAVITATIONAL ACCELERATION N= 0.5(APPR.)
  • 14. OBSERVATION TABLES TABLE 1 DISCHARGE MEASUREMENT TABLE S.No. Area of collecting tank Depth Of Water collected Volume of water collected Time of collectio n Discharg e Q = (A1∆h/t) cumec Initia reading Final reading depth S.NO. Manometer reading Head H cm h½ K Re LogRe I Limb II Limb Diff. ‘xcm Table 2 Dia of pipe D= Dia of throat d= Area of collecting tank = A Lab temperature = , kinematic viscosity = m2/sec
  • 15. PRESENTATION OF RESULT  PLOT A GRAPH BETWEEN Q AND √H ON AN ORDINARY GRAPH. IT WILL BE A STRAIGHT LINE PASSING THROUGH THE ORIGIN  PLOT ANOTHER GRAPH BETWEEN K AND RE ON A SEMI LOGARTHMIC GRAPH SHEET  AVERAGE VALUE OF K =…..