Calibration of Venturi Meter

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    Expt No:

    Date :

    DETERMINATION OF COEFFICIENT OF DISCHARGE AND

    CALIBRATION OF VENTURI METER

    AIM

    i) To find the co-efficient of discharge

    ii) To calibrate the given venturimeter.

    iii) To plot the graphs Cd Vs ! log "a Vs log and "a Vs #calibration curve)

    APPARATUS

      $pparatus consists of a closed circuit pipe arrangement connected %ith an venture meter.$ centrifugal pump is used to suppl& %ater! the flo% rate can be varied b& ad'usting the valve

    fitted to the suppl& pipe. $ (-tube manometer is used for measuring the pressure difference

     bet%een the inlet and the 'ust outlet of the venturimeter. $ measuring tan having dimensions

    *+cm , +cm! fitted %ith a pieometer is used to measure the actual discharge through the

    t t

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    venture meter

     The theoretical discharge for a venturi is given b& the e0uation

    1 2

    2 2

    1 2

    . 2th

     A A gH Q

     A A=

    −m3s

    4here $1 is the area of the pipe! $2 is the area at the venture throat! the head causing

    flo%! and g the acceleration due to gravit&.

    The above e0uation is applicable for incompressible frictionless flo% onl&. /n order to

    account for the frictional and other losses! a discharge coefficient! Cd must be introduced in the

    above e0uation to get the actual discharge

    Therefore

    a

    th

    Q C =

    The actual discharge "a is measured b& experiment and hence Cd can be calculated.

    The calibration e0uation is given b&n

    aQ = KH  

    ! %here 5 and n are constants and is the

    manometer reading.

    PROCEDURE

    1) 6 h f l i ll h d li l

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    I. Determinti!n !" #!e""i#ient !" $i%#&r'e

    Coefficient of discharge!

    a

    th

    Q C =

    4here "a is the actual discharge in cm3sec

    "th is the theoritical discharge in cm3sec

    I.) C#ti!n !" A#t Di%#&r'e *

    $ctual discharge is measured using a collecting tan.

    "a < #$ = x)3t cm3s

    $rea of the collecting tan! $ < cm2

    ise of %ater in the collecting tan! x < cm

    Time for 8cm of rise of %ater level

    in the collecting tan! t < s

    $ctual discharge! #$ = x)3t < cm3s.

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    Cross sectional area at the inlet of the venturimeter!$

    2

    11

    π * d  =

    4 cm2 

    Cross sectional area at the inlet of the venturimeter!1$ <

    1$ <

    cm2 

    Cross sectional area at the throat of the venturimeter!

    2

    2

    2

    π * d  A =

    4 cm2 

    Cross sectional area at the throat of the venturimeter! 2$ <

    cm2 

    2$ <

    c m2 

    I./1)C#ti!n !" He$ C%in' F!2

    ead-causing flo% is measured using a (- tube manometer.

    1

    2

    >eft side reading of the (- tube manometer! h < cm of mercur&

    :ight side reading of the (- tube manometer! h < cm of mercur&

    m 2 1h = h - h cm of Hg  

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    Theoretical Discharge! "th

    1 2

    2 2

    1 2

    . 2th

     A A gH Q

     A A=

    −  cm

    3s

    T&e!reti# $i%#&r'e+ *t&  , #m-

    %.

    T&ere"!re+

    C!e""i#ient !" Di%#&r'e

    Coefficient of discharge!

    a

    th

    Q C =

      <

    T&ere"!re+ C!e""i#ient !" $i%#&r'e+ C$  ,

    II) Ci/rti!n !" 0entrimeter

    The calibration e0uation of the venturimeter is discharge!n

    aQ = KH  

    .

    4here K  and n are constants for the venturimeter.

    H i th h d i fl i ti t f t

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    1. T&e 'i0en 0entrimeter i% #i/rte$

    -. T&e 'r4&% C$ V% H+ !' * V% !' H n$ * V% H (#i/rti!n #r0e) re 4!tte$.

    INFERENCE

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    *) Can %e use an inverted (-tube manometer /f so! ho% %ill &ou determine Cd

    8) 4hat changes in the formula %ill be re0uired if the venturimeter is vertical

    9) 4hat are the advantages and disadvantages of a venturimeter over an orificemeter

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    O/%er0ti!n% n$ T/r C!mn

    Diameter at the inlet d1

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    5 < $ntilog #log 5) < $ntilog #log ---------) <

    n is slop of the graph log " a Vs log < &3x <

    therefore! $ctual discharge! Qa= K H n

    Ci/rti!n t/e

    ead in cm of 

    %ater 

    $ctual

    discharge"a