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    Venturimeter

    It is a device, which is used for measuring therate of flow of fluid through a pipe.

    It consists of anInlet section followed byConvergent sectionA cylindrical throat andA gradually divergent cone.

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    Principle

    The basic principle on which it works is that by reducingthe cross sectional area of the flow passage, a pressuredifference is created and the measurement of the pressuredifference enables the determination of the discharge

    through the pipe.

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    OBJECT1. TO CALIBRATE THE VENTURIMETER.

    2. TO OBTAIN A GRAPH BETWEEN DISCHARGECOEFFICIENT K AND LOG10RE.

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    WORKING.

    AS THE CROSS SECTION OF THE THROAT

    IS SMALLER THAN THE CROSS SECTIONALAREA OF THE INLET SECTION, THE

    VELOCITY OF FLOW AT THE THROAT WILL

    BECOME GREATER THAN THAT AT THE

    INLET SECTION, ACCORDING TO

    CONTINUITY EQUATION.

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    THE INCREASE IN THE VELOCITY OF FLOW AT THE THROATRESULT IN DECREASE IN PRESSURE AT THIS SECTION. ASSUCH A PRESSURE IS DEVELOPED BETWEEN THE INLET

    SECTION AND THE THROAT OF VENTURIMETER.THIS PRESSURE DIFFERENCE CAN BE DETERMINED EITHERBY CONNECTING DIFFERENTIAL MANOMETER BETWEEN THEPRESSURE TAPS PROVIDED AT THESE SECTIONS OR BYCONNECTING THE SEPARATE PRESSURE GAUGE AT EACH OFTHE PRESSURE TAPS. THE MEASURE OF THE PRESSUREDIFFERENCE BETWEEN THESE SECTIONS ENABLES THERATE OF FLOW OF FLUID TO BE CALCULATED.

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    THE CROSS SECTIONAL AREA OF THE THROAT OF

    VENTURIMETER SHOULD NOT BE REDUCED UNTO

    A CERTAIN LIMIT, OTHERWISE THE PRESSURE ATTHIS SECTION DROPS BELOW THE VAPOR

    PRESSURE OF THE FLOWING FLUID THAN THE

    FLOWING FLUID MAY VAPORIE AND THE VAPOR

    POCKETS MAY BE FORMED IN THE LIQUID AT THIS

    SECTION.

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    THEORY

    BY APPLYING BERNOULLI THEOREM

    BETWEEN ENTRANCE AND THROATSECTIONS, THE RELATION FOR DISCHARGE

    CAN BE DERIVED. ! " A#$g #%h

    #&&'(d)*+)! ".C. #%h

    Here, %h is the difference of pie-ometric.

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    HEADS BETWEEN ENTRANCE AND THROAT SECTION AND ISKNOWN AS !VENTURI HEAD" C IS CALLED CONSTANT OFVENTURIMETER AND DEPENDS UPON GEOMETRICPARAMETERS OF GIVEN VENTURIMETER AND K IS CALLEDDISCHARGE COEFFICIENT.

    IT TAKES ONTO ACCOUNT THE ENERGY LOSS BETWEEN TWOSECTIONS AND DEPENDS ON THE RE. USUALLY K VARIESFROM 0.#$ TO 0.## FOR RE%10&. THE REYNOLDS NO RE IS

    GIVEN AS U2 D'=4

    Q'(D

    IS THE KINEMATIC VISCOSITY OF FLUID AND DEPENDS ONTHE TEMPERATURE.

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    E)PERIMENTAL SETUPE)PERIMENTAL SETUP

    THE VENTURIMETER IS FITTED IN A PIPE LINE,

    TO WHICH AN INLET VALVE IS FITTED. THEPRESSURE TAPS ARE PROVIDED AT ENTRANCE

    SECTION 1 AND THROAT SECTION 2. A U*

    TUBE MERCURY MANOMETER IS FITTED

    BETWEEN THESE POINTS 1 AND 2. WATERTANK AND A STOP WATCH IS USED TO

    MEASURE THE DISCHARGE.

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    PROCEDURE

    1. REGULATE THE INLET VALVE TO ALLOW A STEADYFLOW THROUGH VENTURIMETER

    2. COLLECT THE CERTAIN VOLUME OF WATER IN THETANK AND NOTE THE TIME T

    +. NOTE THE MANOMETER READING IN THE LEFT LIMBH1- AND RIGHT LIMB OF MANOMETER H2-. THISDIFFERENCE IS ).

    . REPEAT THE STEPS 1 TO + FOR OTHER RATE OF FLOW.

    &. TAKE SEVEN TO EIGHT SETS OF READINGS

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    CALCULATIONSCALCULATIONS

    1. THE VENTURIMETER CONSTANT C IS CALCULATED AS.

    C / A2G 'D'D-*1-

    2. THE DISCHARGE Q IS THEN CALCULATED BY VOLUMETRICMETHOD

    +. THE DEFLECTION OF MERCURY MANOMETER ) IS CONVERTED

    INTO EQUIVALENT HEAD OF FLOWING LIQUID WATER-

    H / ) SM'S * 1- / ) 1+.$'1 1 - / 12.$)H

    WHERE SM IS SPECIFIC GRAVITY OF MEASURING FLUID AND S ISTHE SPECIFIC GRAVITY OF WATER.

    . NOW THE SQUARE ROOT OF H IS DETERMINED.

    &. THE DISCHARGE COEFFICIENT K IS CALCULATED.

    K / Q'CH

    $. FINALLY THE RE IS CALCULATED CORRESPONDING TODIFFERENT SET OF DISCHARGES.

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    FORMULA USED

    1. Q / K.HN

    2. K / CD.A1.A22G

    A12*A22-

    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.&APPR.-

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    OBSERVATION TABLESTABLE 1

    DISCHARGE MEASUREMENT TABLES.No. Area

    of

    collecting

    tank

    Depth Of Water collected Volume

    of

    water

    collected

    Time

    of

    collection

    Discharge

    Q =A!"h#t$

    cumec

    Initia

    reading

    Final

    reading

    depth

    S.NO. %anometer reading &ead& cm

    h' ( )e *og)e

    ILimb

    IILimb

    Diff.xcm

    Table $Dia of pipe D=

    Dia of throat d=Area of collecting tank = A

    Lab temperature = , kinematic viscosity = m2/sec

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    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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    PRECAUTIONS

    1. DRIVE OUT ALL ENTRAPPED AIR FROM

    DIFFERENTIAL MERCURY MANOMETER.2. MAINTAIN A CONSTANT DISCHARGE

    BEFORE TAKING ANY READING.

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    VIVA * VOICE WHAT IS THE PRINCIPLE AND USE OF VENTURIMETER3 CAN IT BE

    USED FOR LARGE PEN STOKES. HOW WILL PRESSURECORRECTIONS BE MADE THEN 3

    WHY IS THE LENGTH ON CONVERGING CONE SMALLER THEN

    THE DIVERGING CONE OF VENTURIMETER3 WHY IS THE PRESSURE DIFFERENCE BETWEEN ENTRANCE ANDTHROAT SECTION INCREASED DUE TO FRICTION3

    IF THE DIRECTION OF FLOW IS REVERSED WHAT WILL BE THEEFFECT ON THE VALUE OF H I- IF FRICTION IS NEGLECTED. II-FRICTION IS TAKEN INTO ACCOUNT3

    ACCURACY OF RESULT DEPENDS ON HOW GREAT IS THE VALUEOF H. IF WE REDUCE D FURTHER, THE VALUE OF H INCREASES.CAN WE GO O REDUCING THROAT DIAMETER D AS MUCH ASWE PLEASE3IF NOT WHAT IS THE FACTOR TO LIMIT THEVALUED'D3

    4UST BY SEEING A SEPARATE VENTURIMETER, CAN YOUASCERTAIN THE DIRECTION OF FLOW, HOW3