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146276446 Flow Measurement

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    Standards

    Certification

    Education & Training

    Publishing

    Conferences & Exhibits

    Flow Measurement

    Mark Murphy, PETechnical Director, Fluor Corp

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    COMMONLY USED FLOW DEVICES

    Differential Pressure (Hea! "#$e! Orifi%e Plate & Con%entri%' E%%entri%' Semental' )uarant Ee' Interal'Conitionin

    ! Venturi "u*e! Flow No++les! El*ow! Pitot "u*e' ,-erain Pitot "u*e (,nnu*ar!! Varia*le ,rea (.otameter!

    ! Wee Meter! V&Cone

    Mass "#$e / measures t0e mass flow rate ire%tl#1! Coriolis! "0ermal

    Velo%it# "#$e! Maneti%

    ! Ultrasoni% & "ransit "ime' Do$$ler! "ur*ine! Vorte2

    O$en C0annel "#$e! Weir! Pars0all Flume

    Ot0er "#$es! Positi-e Dis$la%ement! "aret

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    FLOW ME,SU.EMEN" & "E.MS

    " DE#S$T% r'

    ! ( Measure )f Mass Per *nit )f +olue lb-ft.or kg-M.'

    " SPEC$F$C /0(+$T%

    ! The 0atio )f The Density )f ( Material To The Density )f 1ater )r

    (ir Depending )n 1hether $t $s ( 2i3uid )r ( /as

    " C)MP0ESS$42E F2*$D

    ! Fluids Such (s /asses' 1here The +olue Changes 1ith 0espect

    To Changes $n The Pressure These Fluids Experience 2arge

    Changes $n Density Due To Changes $n Pressure" #)#5C)MP0ESS$42E F2*$D

    ! Fluids /enerally 2i3uids' 1hich 0esist Changes $n +olue (s The

    Pressure Changes These Fluids Experience 2ittle Change $n Density

    Due To Pressure Changes

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    FLOW ME,SU.EMEN" & "E.MS

    " 2inear! Transitter output is directly proportional to the flo6 input

    " S3uare 0oot! Flo6 is proportional to the s3uare root of the easured 7alue

    " 4eta 0atio d-D'! 0atio of a differential pressure flo6 de7ice bore d' di7ided by internal

    diaeter of pipe D'

    ! ( higher 4eta ratio eans a larger orifice si8e ( larger orifice plate bore

    si8e eans greater flo6 capacity and a lo6er peranent pressure loss

    " Pressure 9ead! The Pressure (t ( /i7en Point $n ( 2i3uid Measured $n Ters )f The

    +ertical 9eight )f ( Colun )f The 2i3uid #eeded To Produce The Sae

    Pressure

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    FLOW ME,SU.EMEN" & UNI"S

    " Flow is measure as a 3uantit# (eit0er -olume ormass! $er unit time

    " Volumetri% units! 2i3uid

    !gp, bbl-day, .-hr, liters-in, etc! /as or +apor

    ! ft.-hr, .-hr, etc

    " Mass units (eit0er li3ui' as or -a$or!! lb-hr, kg-hr, etc

    " Flow %an *e measure in a%%umulate (totali+e! totalamounts for a time $erio! gallons, liters, eters passed in a day, etc

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    L,MIN,. FLOW

    " Laminar Flow5 $s Characteri8ed 4y Concentric 2ayers )fFluid Mo7ing $n Parallel Do6n The 2ength )f ( Pipe The

    9ighest +elocity +ax' $s Found $n The Center )f The

    Pipe The 2o6est +elocity +:;' $s Found (long The Pipe

    1all

    SIDE VIEW END VIEW

    VM,4

    CONCEN".IC FLUID L,YE.SP,.,5OLIC FLOW P.OFILE

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    "U.5ULEN" FLOW

    " "ur*ulent Flow5 $s Characteri8ed 4y ( Fluid Motion That9as 2ocal +elocities (nd Pressures That Fluctuate

    0andoly This Causes The +elocity )f The Fluid $n The

    Pipe To 4e More *nifor (cross ( Cross Section

    SIDE VIEW

    VM,4

    6 V,V7

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    .EYNOLDS NUM5E.

    " The 0eynolds nuber is the ratio of inertial forces velocity anddensity that keep the fluid in motion' to 7iscous forces frictionalforces that slow the fluid down' and is used for deterining thedynaic properties of the fluid to allo6 an e3ual coparisonbet6een different fluids and flo6s

    " 2ainar Flo6 occurs at lo6 0eynolds nubers, 6here 7iscous

    forces are doinant, and is characteri8ed by sooth, constant fluidotion

    " Turbulent Flo6 occurs at high 0eynolds nubers and is doinatedby inertial forces, producing rando eddies, 7ortices and other flo6fluctuations

    " The 0eynolds nuber is the ost iportant 7alue used in fluiddyanics as it pro7ides a criterion for deterining siilarity bet6eendifferent fluids, flo6rates and piping configurations

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    .EYNOLDS NUM5E.

    Re: D7r

    m

    D

    7

    r

    m

    D$(METE0 &FT'

    +E2)C$T% &FT-SEC'

    DE#S$T% &24-FT.'

    +$SC)S$T% &cp'

    :

    ::

    :

    C

    C C)#ST(#T &?@;

    5A

    24-FT SEC cp':; >;;; A;;;

    2(M$#(0 T0(#S$T$)# T*04*2E#T

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    IDE,L 7,S L,W

    (n Ieal 7asor perfect gas is a hypothetical gas consistingof identical particles 6ith no interolecular forces

    (dditionally, the constituent atos or olecules undergo

    perfectly elastic collisions 6ith the 6alls of the container

    0eal gases act like ideal gases at lo6 pressures and high

    teperatures

    .eal 7asesdo not exhibit these exact properties, although

    the approxiation is often good enough to describe real

    gases The properties of real gases are influenced by

    copressibility and other therodynaic effects

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    IDE,L 7,S L,W

    P+ : n0T

    1hereB P : Pressure psia'

    + : +olue FT.'

    n : #uber of Moles of /as

    @ ole : x @;>.olecules'

    0 : /as Constant @;=. FT

    .

    PS$( - lb5ole

    o

    0'T : Teperature o0'

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    .E,L 7,SES

    " Copressibility Factor ' 5 The ter copressibilityis used to describe the de7iance in the therodynaic

    properties of a real gas fro those expected fro an

    ideal gas

    " 0eal /as 4eha7ior can be calculated asB

    P+ : n0T

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    S",ND,.D CONDI"IONS

    " P : @A= PS$(" T : >; deg 0

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    ,C"U,L CONDI"IONS

    " Standard conditions can be con7erted to (ctual Conditions usingthe $deal /as 2a6

    PS+

    S: n0T

    SP

    (+

    (: n0T

    (

    :P

    S+

    S

    TS

    P(

    +(

    T(

    :P

    ST

    (+

    SP

    (T

    S

    +(

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    5E.NOULLI8S L,W

    " 5ernoulli9s LawDes%ri*es "0e 5e0a-ior Of ,n IealFlui Uner Var#in Conitions In , Close S#stem1

    It States "0at "0e O-erall Ener# Of "0e Flui ,s It

    Enters "0e S#stem Is E3ual "o "0e O-erall Ener#

    ,s It Lea-es1PE

    @ GE

    @: PE

    > GE

    >

    PE : Potential Ener#

    ;E : ;ineti% Ener#

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    5E.NOULLI8S E)U,"ION

    " 5ernoulli8s Law Is Des%ri*e 5# "0e FollowinE3uation For ,n Ieal Flui1

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    HE,D ME"E. "HEO.Y OF OPE.,"ION

    4eta 0atio : d-D Should 4e ;. ! ;=

    Meter 0un ! Dependent )n Piping

    #orally >; Diaeters *pstrea & Diaeters Do6nstrea

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    P ME"E. / FLOW P.INCIPLES

    Flo6 is easured by creating a pressure drop and applying the flo6 e3uation belo6

    4asic Flo6 E3uation for single phase copressible and non5copressible fluidsB

    3: Flo6

    C : Constant : Expansion Factora : )rifice (rea

    p : P@ 5 P>@: Density: d - Dd : Diaeter of )rifice

    D : Diaeter of Pipe

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    ;

    @;

    >;

    .;

    A;

    ;

    ; .; A; ;

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    O.IFICE PL,"E

    , sim$le e-i%e' %onsiere a $re%isioninstrument1 It is sim$l# a $ie%e of flat metal

    wit0 a flow&restri%tin *ore t0at is inserte

    into t0e $i$e *etween flanes1 "0e orifi%e

    meter is well unerstoo' rue an

    ine2$ensi-e1 It8s a%%ura%# uner ieal

    %onitions is in t0e rane of @1AB&>1B1 It %an

    *e sensiti-e to a -ariet# of error&inu%in

    %onitions' su%0 as if t0e $late is eroe or

    amae1

    )rifice Plate

    )rifice Flanges

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    CONCEN".IC O.IFICE PL,"E

    "0e most %ommon orifi%e $late ist0e s3uare&ee %on%entri% *oreorifi%e $late1 "0e %on%entri% *oreorifi%e $late is t0e ominant esin*e%ause of its $ro-en relia*ilit# in a-ariet# of a$$li%ations an t0e

    e2tensi-e amount of resear%0%onu%te on t0is esin1 It iseasil# re$rou%e at a relati-el# low%ost1 It is use to measure a wie-ariet# of sinle $0ase' li3ui anas $rou%ts' t#$i%all# in

    %onun%tion wit0 flane ta$s1

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    )U,D.,N" ED7E O.IFICE PL,"E

    The 3uadrant, 3uadrant edge or 3uarter5circle orifice is recoended foreasureent of fluids 6ith high 7iscosity 6hich ha7e pipe 0eynolds

    #ubers belo6 @;,;;; The orifice incorporates a rounded edge of definite

    radius 6hich is a particular function of the orifice diaeter

    Kuadrant in *SConical in Europe

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    IN"E7.,L O.IFICE PL,"E

    $ntegral )rifice Plate identical to a s3uare5edged orifice plate installation except that the plate,

    flanges and DP transitter are supplied as one unit used for sall lines typically under >L' and is relati7ely inexpensi7e to

    install since it is part of the transitter

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    CONDI"IONIN7 O.IFICE PL,"E

    " The Conditioning )rifice Plate is designed to be installed do6nstrea of a7ariety of disturbances 6ith inial straight pipe run, pro7iding superiorperforance

    " 0e3uires only t6o diaeters of straight pipe run after an upstrea flo6disturbance

    " 0educed installation costs

    " Easy to use, pro7e, and troubleshoot" /ood for ost gas, li3uid, and stea as 6ell as high teperature and high

    pressure applications

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    VEN" ,ND WEEP HOLES

    There are ties 6hen a gas ay be ha7e a

    sall aount of li3uid or a li3uid ay ha7e a

    sall aount of gas but not enough in either

    case to 6arrant the use of an eccentric orifice

    $n these cases it is best to siply add a sallhole near the edge of the plate, flush 6ith the

    inside diaeter of the pipe, allo6ing undesired

    substances to pass through the plate rather than

    collect on the upstrea side $f such a hole isoriented up6ard to pass 7apor bubbles, it is

    called a 7ent hole $f the hole is oriented

    do6n6ard to pass li3uid droplets, it is called a

    drain hole

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    O.IFICE PL,"E SELEC"ION

    CONSIDE.,"IONS

    " )uarant Ee Orifi%e Plate %an *e %onsiere if.e#nols num*er is too low1

    " Orifi%e $late must *e s$e%ifie wit0 $ro$er flane ratin

    to a%%ount for $ro$er *olt %ir%le1

    " "#$i%al a%%e$ta*le *eta ratio is 1B to 1A for non%ommer%e meter' 1 to 1? for a%%ountin meter *ut also

    %0e%G s$e%ifi%ations1

    " ,ssure t0at %al%ulation a%%ounts for -ent or rain 0ole'

    if re3uire1

    " For ual transmitter installation on a %ommon set of

    orifi%e flanes' %ustom ta$ lo%ations must *e s$e%ifie1

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    7as

    " Differential pressure is easured through pressure taps located on eachside of the orifice plate Pressure taps can be positioned at a 7ariety ofdifferent locations

    " Flange Taps" Corner Taps" 0adius Taps

    " +ena5Contracta Taps" Pipe Taps

    O.IFICE PL,"E ",P LOC,"IONS

    Li3ui or Steam

    Orifi%e ta$s in 0ori+ontal

    lines s0oul *e as follows=

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    $n a +enturi tube, the fluid is accelerated through a con7ergingcone, inducing a local pressure drop (n expanding section of the

    eter then returns the flo6 to near its original pressure These

    instruents are often selected 6here it is iportant not to create a

    significant pressure drop and 6here good accuracy is re3uired

    " *sed 6hen higher 7elocity and pressure reco7ery is re3uired

    " May be used 6hen a sall, constant percentage of solids is

    present

    VEN"U.I "U5E

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    FLOW NOLE

    DP Type Flo6eter *sed 6hen higher 7elocity & pressure reco7ery are re3uired 4etter suited for gas ser7ice than for li3uid

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    V&CONE

    The +5Cone is siilar to other differential pressure Dp' eters in thee3uations of flo6 that it uses +5Cone geoetry, ho6e7er, is 3uite different

    fro traditional Dp eters The +5Cone constricts the flo6 by positioning a

    cone in the center of the pipe This forces the flo6 in the center of the pipe

    to flo6 around the cone +5cones can be used 6ith 7iscous fluids and re3uire

    little straight run

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    Multi-aria*le Pressure "ransmitter

    " , Multi-aria*le $ressure

    transmitter $ro-ies aue

    $ressure' ifferential

    $ressure' an tem$erature

    measurement in a sinle

    instrument1" Uses Smart iital H,."

    %ommuni%ations for multi$le

    measurements1

    " Minimi+es t0e num*er of

    transmitters an $ro%ess%onne%tions

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    $n a pitot tube insertion DP eter', a probeconsisting of t6o parts senses t6o

    pressuresB ipact dynaic' and static The

    ipact pressure is sensed by one ipact

    tube bent to6ard the flo6 dynaic head'

    The a7eraging5type pitot tube has four or

    ore pressure taps located atatheatically defined locations, a7eraging

    the 7elocity profile across the pipe or flo6

    area, to easure the dynaic pressure

    The static pressure is sensed through a

    sall hole on the side static head' They

    de7elop lo6 differential pressure and like all

    head eters they use a differential pressure

    transitter to con7ert the flo6 to an

    electrical transission signal

    PI"O" "U5E

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    PI"O" "U5E FLOW P.INCIPLES

    Pitot tubes ake use of dynaic pressure difference )rifices in the leading face

    register total head pressure, dynaic static, 6hile the hole in the trailing face

    only con7eys static pressure Pressure difference bet6een the t6o gi7es dynaic

    pressure in pipe, fro 6hich flo6 can be calculated

    4asic Mass rate of flo6 e3uation for single phase copressible and non5

    copressible fluidsB

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    PIP PCCFL@@>

    S".,I7H" .UN .E)UI.EMEN"S

    P$P PCCF2;;@ includes tables foriniu straight run lengths 6ith

    7arious upstrea disturbances,

    pro7iding upstrea re3uireents for

    different beta ratios and do6nstrea

    re3uireents per beta ratios

    regardless of upstrea disturbance

    type

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    DP ME"E. CH,.,C"E.IS"ICS

    0ecoended Ser7iceB Clean & Dirty 2i3uids, /ases,Soe Slurries

    0angeabilityB .B@ to ; to 5D Do6nstrea +iscosity EffectB 9igh Si8eB >L to >AL ConnectionB Dependent on eter type Type of )utputB S3uare 0oot

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    V,.I,5LE ,.E, (.O",ME"E.!

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    V,.I,5LE ,.E, (.O",ME"E.!

    CH,.,C"E.IS"ICS

    0ecoended Ser7iceB Clean, Dirty &+iscous 2i3uids

    0angeabilityB @; to @ Pressure 2ossB Mediu (ccuracyB @ to @;J

    Straight 0un 0e3uiredB #one +iscosity EffectB Mediu 0elati7e CostB 2o6 Si8esB : AL ConnectionsB Threaded or Flanged

    Type of )utputB 2inear

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    Direct ass flo6 easureent isgenerally chosen for ore critical

    control applications such as the

    blending of feedstocks or the

    custody transfer of 7aluable fluids

    /enerally chosen for high

    rangeability and ass flo6applications, Coriolis technology is

    unaffected by changes in

    teperature, density, 7iscosity and

    conducti7ity $n ost flo6 eters

    changes in these conditions re3uireonitoring and correction

    CO.IOLIS

    CO.IOLIS

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    CO.IOLIS

    FLOW P.INCIPLES

    Flo6 is easured by using 7elocity sensors to detect the t6ist in the tube

    and transit electrical signals ha7ing a relati7e phase shift that is

    proportional to ass flo6

    Coriolis eters also easure density,6hereby the resonant fre3uency of

    the forced rotation is a function of fluid density

    1hen the fluid is flo6ing, it is led through t6oparallel tubes (n actuator not sho6n' induces a

    7ibration of the tubes The t6o parallel tubes are

    counter57ibrating, to ake the easuring de7ice

    less sensiti7e to outside 7ibrations The actual

    fre3uency of the 7ibration depends on the si8e of

    the ass flo6 eter, and ranges fro H; to @;;;

    7ibrations per second

    1hen no fluid is flo6ing, the 7ibration of the t6o

    tubes is syetrical

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    CO.IOLIS CH,.,C"E.IS"ICS

    0ecoended Ser7iceB Clean, Dirty & +iscous 2i3uids, /ases, Soe Slurries0angeabilityB @; to @Pressure 2ossB Mediu to 9igh(ccuracyB to ;@J in li3uids & to ;.J in gasStraight 0un 0e3uiredB #one+iscosity EffectB #one0elati7e CostB 9ighSi8esB Q RLConnectionsB Flanged & Clap5on DesignType of )utputB 2inear

    "HE.M,L M,SS FLOWME"E.

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    "HE.M,L M,SS FLOWME"E.

    FLOW P.INCIPLES

    Theral ass flo6 eters introduce heat into the flo6 strea and easure ho6 uch

    heat dissipates using one or ore teperature sensors This ethod 6orks best 6ith

    gas ass flo6 easureent

    The constant teperature differential ethod ha7e a heated sensor and another

    sensor that easures the teperature of the gas Mass flo6 rate is coputed based

    on the aount of electrical po6er re3uired to aintain a constant difference in

    teperature bet6een the t6o teperature sensors

    $n the constant current ethod the po6er to the heated sensor is kept constant Mass

    flo6 is easured as a function of the difference bet6een the teperature of the heated

    sensor and the teperature of the flo6 strea

    4oth ethods are based on the principle that higher

    7elocity flo6s result in a greater cooling effect 4oth

    easure ass flo6 based on the easured effects

    of cooling in the flo6 strea

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    M,7NE"IC FLOWME"E.

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    M,7NE"IC FLOWME"E.

    FLOW P.INCIPLES

    ( agnetic flo6 eter ag flo6eter' is a 7oluetric flo6 eter 6hich does not ha7e any

    o7ing parts and is ideal for 6aste6ater applications or any dirty li3uid 6hich is conducti7e

    or 6ater based Magnetic flo6eters 6ill generally not 6ork 6ith hydrocarbons, distilled

    6ater and any non5a3ueous solutions' Magnetic flo6eters are also ideal for applications

    6here lo6 pressure drop and lo6 aintenance are re3uired

    The operation of a agnetic flo6eter or ag eter is based upon FaradayOs 2a6, 6hich

    states that the 7oltage induced across any conductor as it o7es at right angles through aagnetic field is proportional to the 7elocity of that conductor

    M,7NE"IC FLOWME"E.

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    M,7NE"IC FLOWME"E.

    CH,.,C"E.IS"ICS

    0ecoended Ser7iceB Clean, Dirty & +iscous Conducti7e 2i3uids &Slurries

    0angeabilityB A; to @ Pressure 2ossB #one (ccuracyB ;J Straight 0un 0e3uiredB D *pstrea, >D Do6nstrea +iscosity EffectB #one 0elati7e CostB 9igh Si8esB @L to @>;L ConnectionsB Flanged Type of )utputB 2inear

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    Transit tie ultrasonic eters eploy t6o transducers located upstreaand do6nstrea of each other Each transits a sound 6a7e to the other,

    and the tie difference bet6een the receipt of the t6o signals indicates the

    fluid 7elocity Transit tie eters usually re3uire clean fluids and are used

    6here high rangeability is re3uired (ccuracy is 6ithin @J for ideal

    applications

    UL".,SONIC ME"E.

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    UL".,SONIC ME"E. FLOW P.INCIPLES

    FLOWFlo6 is easured byeasuring the difference

    in transit tie for t6o

    ultrasonic beas

    transitted in a fluid

    both upstrea and

    do6nstrea

    *ltrasonic Meters are

    ainly used on large

    si8e lines 6here high

    rangeability is re3uired.

    t upTransitter-0ecei7er T-0't dn

    Frequency pulse

    + : 2 - > cos' (T(4! T4(' - T(4 T4('U4asic Flo6 E3uationB K : ( +

    Transit tie difference is proportional

    to ean 7elocity +, therefore +

    can be calculated as follo6sB

    A

    B

    Transit length 2

    UL".,SONIC (DOPPLE.!

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    UL".,SONIC (DOPPLE.!

    FLOW P.INCIPLES

    *ltrasonic flo6eters are ideal for 6aste6ater applications or any dirty

    li3uid 6hich is conducti7e or 6ater basedThe basic principle of operation eploys the fre3uency shift Doppler Effect'

    of an ultrasonic signal 6hen it is reflected by suspended particles or gas

    bubbles discontinuities' in otion Current technology re3uires that the li3uid

    contain at least @;; parts per illion PPM' of @;; icron or larger

    suspended particles or bubbles

    UL".,SONIC CH,.,C"E.IS"ICS

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    UL".,SONIC CH,.,C"E.IS"ICS

    0ecoended Ser7iceB Clean & +iscous 2i3uids, #atural-Flare /as0angeabilityB >; to @Pressure 2ossB #one(ccuracyB ;>J to JStraight 0un 0e3uiredB to .;D *pstrea+iscosity EffectB #one0elati7e CostB 9ighSi8esB Q RLConnectionsB Flanged & Clap5on DesignType of )utputB 2inear

    "U.5INE ME"E.

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    "U.5INE ME"E.

    Turbine eter is kept in rotation by thelinear 7elocity of the strea in 6hich it

    is iersed The nuber of

    re7olutions the de7ice akes is

    proportional to the rate of flo6

    "U.5INE ME"E.

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    "U.5INE ME"E.

    CH,.,C"E.IS"ICS

    0ecoended Ser7iceB Clean & +iscous 2i3uids, Clean /ases0angeabilityB >; to @Pressure 2ossB 9igh(ccuracyB ;>JStraight 0un 0e3uiredB to @;D *pstrea+iscosity EffectB 9igh0elati7e CostB 9ighSi8esB Q VLConnectionsB FlangedType of )utputB 2inear

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    +ortex eters can be used on ost cleanli3uid, 7apor or gas 9o6e7er, they are

    generally chosen for applications 6here

    high flo6 rangeability is re3uired Due to

    break do6n of 7ortices at lo6 flo6 rates,

    7ortex eters 6ill cut off at a lo6 flo6 liit

    0e7erse flo6 easureent is not an

    option For regular ser7ice applications

    this eter is the eter of choice by any

    end users

    VO."E4 ME"E.

    VO."E4 ME"E.

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    VO."E4 ME"E.

    FLOW P.INCIPLES

    .e%o-er#

    .e%o-er#

    4asic Flo6 E3uationB K : ( +Flo6ing +elocity of FluidB + : f d' - St

    f : Shedding Fre3uency

    d : Diaeter of 4luff 4ody

    St : Stouhal #uber 0atio bet6een 4luff 4ody Diaeter and +ortex $nter7al'

    ( : (rea of Pipe

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    VO."E4 CH,.,C"E.IS"ICS

    0ecoended Ser7iceB Clean & Dirty 2i3uids, /ases0angeabilityB @; to @Pressure 2ossB Mediu(ccuracyB @JStraight 0un 0e3uiredB @; to >;D *pstrea, D Do6nstrea+iscosity EffectB Mediu0elati7e CostB MediuSi8eB RL to @>LConnectionB FlangedType of )utputB 2inear

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    PD eters easure flo6 rate directly by di7iding a strea intodistinct segents of kno6n 7olue, counting segents, and

    ultiplying by the 7olue of each segent Measured o7er a

    specific period, the result is a 7alue expressed in units of

    7olue per unit of tie PD eters fre3uently report total flo6

    directly on a counter, but they can also generate output pulses

    6ith each pulse representing a discrete 7olue of fluid

    POSI"IVE DISPL,CEMEN" (PD! FLOWME"E.

    POSI"IVE DISPL,CEMEN" (PD! FLOWME"E.

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    ( !

    FLOW P.INCIPLES

    PD eters ha7e . partsB"4ody"Measuring *nit"Counter Dri7e Train

    2i3uids inlet

    pressure exerts a

    pressure differential

    against the lo6er

    face of o7al gear (,

    causing the t6ointerlocked o7al

    gears to rotate to

    position >

    2i3uid enters the ca7ity

    bet6een o7al gear 4

    and eter body 6all,

    6hile an e3ual 7olue

    of li3uid passes out of

    the ca7ity bet6een o7al

    gear ( and eter body

    6all Mean6hile, inlet

    pressure continues to

    force the t6o o7al

    gears to rotate to

    position .

    Kuantity of li3uid has

    again filled the ca7ity

    bet6een o7al gear 4 and

    eter body This pattern is

    repeated o7ing four

    ties the li3uid capacity of

    each ca7ity 6ith each

    re7olution of the rotating

    gears Therefore, the flo6

    rate is proportional to the

    rotational speed of the

    gears

    POSI"IVE DISPL,CEMEN" (PD!

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    POSI"IVE DISPL,CEMEN" (PD!

    CH,.,C"E.IS"ICS

    0ecoended Ser7iceB Clean & +iscous 2i3uids, Clean /ases0angeabilityB @; to @Pressure 2ossB 9igh(ccuracyB ;JStraight 0un 0e3uiredB #one+iscosity EffectB 9igh0elati7e CostB MediuSi8esB Q@>LConnectionsB FlangedType of )utputB 2inear

    P.,C"ICES INDUS".Y S",ND,.DS

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    P.,C"ICES' INDUS".Y S",ND,.DS

    O"HE. .EFE.ENCES

    Process $ndustry Practices P$P'

    " P$P PCC/#;;> ! /eneral $nstruent $nstallation Criteria" P$P PCEF2;;@ ! Flo6 Measureent /uidelines

    $ndustry Codes and Standards

    " (erican /as (ssociation (/('

    ! (/( I ! Measureent of /as by Multipath *ltrasonic Meters" (erican #ational Standards $nstitute (#S$'

    ! (#S$5>.;-([email protected](/(5.-/P(5H@H ! #atural /as FluidsMeasureent ! Concentric, S3uare5Edged )rifice Meters

    ! Part @ /eneral E3uations and *ncertainty /uidelines

    ! Part > Specification and $nstallation 0e3uireents

    ! Part . #atural /as (pplications

    ! Part A 4ackground, De7elopent, $pleentation Procedures and Subroutine Docuentation

    " (erican Petroleu $nstitute (P$'

    ! (P$ 0P @ ! Process Measureent $nstruentation

    ! (P$ 0P A ! Process $nstruent and Control

    ! (P$ Manual of Petroleu Measureent Standards MPMS'B! Chapter A ! Pro7ing Systes

    ! Chapter ! Metering

    ! Chapter @A ! #atural /as Fluids Measureent

    P.,C"ICES INDUS".Y S",ND,.DS O"HE.

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    P.,C"ICES' INDUS".Y S",ND,.DS O"HE.

    .EFE.ENCES

    " (erican Society of Mechanical Engineers (SME'! (SME 4@M ! Measureent *ncertainty for Fluid Flo6 in the Closed Conduits! (SME MFC5.M ! Measureent of Fluid Flo6 in Pipes *sing )rifice, #o88le and

    +enturi! (SME MFC5M ! Measureent of 2i3uid Flo6 in Closed Conduits *sing Transit5Tie

    *ltrasonic Flo6eters

    ! (SME MFC5

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    P.,C"ICES' INDUS".Y S",ND,.DS O"HE.

    .EFE.ENCES

    " The $nternational Society for Measureent and Control$S('! $S( S>; ! Specification Fors for Process Measureent and Control $nstruents,

    Priary Eleents and Control +al7es

    " $nternational )rgani8ation for Standardi8ation $S)'! $S) @B )rifice Plates! Part .B #o88le and +enturi Tubes! Part AB +enturi Tubes

    )ther 0eferences" Miller, 01, Flo6 Measureent Engineering 9andbook

    " $S( ! Flo6 Measureent ! Practical /uides for Measureent and Control,Spit8er, D1, Editor" (SME ! Fluid Meters, Their Theory and (pplication

    )UES"IONS

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    )UES"IONS

    ,n# )uestionsJJJ