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    Aeration and

    gas stripping

    WAT

    ERTREATME

    NT

    WATERTREATMENT

    Qw, cw,0

    Qa,ca,0

    Qa, ca,e

    Qw, cw,e

    k5k4k3

    k2

    k1

    0.001 0.01 0.1 1 10

    1

    0.8

    0.6

    0.4

    0.2

    0

    k1

    k2

    k3

    k4

    k5

    RQ

    k2tkDT

    K

    (-)

    ===

    1.610.03910oC

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    Framework

    Thismoduleexplainsaerationandgasstripping.

    Contents

    Thismodulehasthefollowingcontents:

    1. Introduction

    2. Theoryofgastransfer

    2.1 Equilibrium

    2.2 Kinetics

    2.3 Massbalance

    2.4 Solutionsforthebasicequations

    3. Practice

    3.1 Cascade

    3.2 Toweraerator 3.3 Plateaerator

    3.4 Sprayaerator

    3.5 Alternativeaerationsystems

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    the water falls over a weir into a lower placed

    trough.Whenthefallingstreamentersthewater

    body,airisentrappedintheformofbubbles,pro-

    vidingforamixtureofwaterandairinwhichgastransferwilloccur.

    Thetoweraerator(Figure2)consistsofacylin-

    dricalvesselofsteelorsyntheticmaterialthatis

    lled with packing material, usually consisting of

    elementsofsyntheticmaterial.Waterfallsdown

    andairisblowninaco-currentorcounter-current

    direction.

    Aplateaerator(Figure3) is a horizontalperfo-

    rated plate. Water ows over the plate and air is

    blown through the orices, creating a bubble bed

    ofairandwaterabovetheplate.

    Sprayers (Figure 4)aretypically used because

    of their simple implementation in existing treat-

    mentplants.Byspraying,acontactsurfacebe-

    tween the air and water is created for the gas

    exchange.

    2 Theory of gas transfer

    1 Introduction

    Aeration(gasaddition)andgasstripping(gasre-

    moval) are normally the rst treatment steps dur-

    ing the production of drinking water from ground-

    water or riverbank water. This articially induced

    gastransferaimsattheadditionofoxygen(O 2)

    andtheremovalofcarbondioxide(CO 2),meth-

    ane (CH4), hydrogen sulde (H2S), and other

    volatileorganiccompounds(forexample1.2Di-

    chloropropane(1.2DCP),Trichloroethene(TRI),

    Tetrachloroethene (PER) and Trichloromethane

    (chloroform)).

    Gastransferisseldomappliedinthetreatmentofsurfacewaterbecausesurface water hasbeen

    incontactwithairforaprolongedperiod.Conse-

    quently, surface water contains sufcient oxygen,

    and other gases, like methane and hydrogen sul-

    de, are absent.

    Theadditionofoxygenisrequiredfortheoxida-

    tion of bivalent iron (Fe2+), manganese (Mn2+)

    and ammonium (NH4+). These substances are

    presentindissolvedformingroundwater.Dueto

    chemical and biological oxidation, the substan-

    ces can be removed by following a ltration step.

    Thiswillbediscussedinthechapterongranular

    ltration.

    Reducingthecarbondioxideconcentrationleads

    toariseinpHandareductionofaggressivecar-

    bondioxidethatisabletodisintegrate(concrete)

    pipes.

    Methaneshould be removed becauseits pres-

    ence has negative inuences on the ltration pro-

    cesses.

    Hydrogen sulde has an annoying odor (rottingeggs)andthereforeneedstoberemovedfrom

    thewater.

    Volatile organic compounds are usually toxic;

    someofthemareevencarcinogenic.Obviously,

    these compounds are not allowed in drinking wa-

    ter.

    To achieve gas transfer a number of systems

    havebeendevelopedovertheyears.

    Oneoftheoldestsystemsisthecascade(Figure

    1).Thewaterfallsinseveralsteps.Ineachstep,

    Figure 1 - Cascade aeration

    Figure 2 - Tower aeration

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    2.1 Equilibrium

    Henrys law

    Watercontainsdissolvedgases.Inaclosedves-

    selcontainingbothgas(e.g.,air)andwater,the

    concentrationofavolatilecomponentinthegas-

    phasewillbeinequilibriumwiththeconcentra-

    tioninthewaterphase,accordingtoHenryslaw.

    Theequilibriumconcentrationcanbecalculated

    usingthefollowingformofHenryslaw:

    = w H gc k c

    inwhich:

    cw=equilibriumconcentrationofagasinwater

    [g/m3]

    kH = Henrys constant or distribution coefcient

    [-]

    cg=concentrationofthegasinair[g/m3]

    The distribution coefcient kH depends on the

    typeofgas,andthetemperature.

    Inaddition,pollutionandimpuritiesinthe water

    inuence the equilibrium concentration. This is-

    suewillnotbediscussedhere.

    Inliterature,manydifferentformsofHenryslaw

    arefound.

    Oftenpartialpressureisusedinsteadofthegas

    concentrationinair,and/ormolarconcentrationin

    thewaterinsteadofweightconcentration.Con-

    sequentlythisresultsinadifferentunitforthedis-

    tribution coefcient, or Henrys law constant (ie.

    [mol/(m3Pa)]or[mol/l/atm]).

    Forgas stripping, often thevolatility is given insteadofthesolubilityofagas.Inthiscase,the

    distribution coefcient is inverted (gas/water, in

    steadofwater/gas).

    Distribution coefcient

    InTable1foranumberofgasesalistofvalues

    is given of the distribution coefcient at different

    watertemperatures,(intermediatevaluescanbe

    obtainedwithlinearinterpolation).

    Inthetableitisshownthatnitrogen,oxygenand

    methane have low kH-values. This means that

    these gases hardly dissolve in water and they

    can,therefore,beeasilyremoved.

    The other gases have high kHvalues and dis-

    solve easily, which makes it difcult to remove

    themfromthewateroreasytoaddthemtowa-

    ter.

    Gas concentration in air

    Thegasconcentrationintheairc g must be known

    beforetheequilibrium(orsaturation)concentra-tioncanbecalculated.Thisconcentrationcanbe

    determinedusingtheuniversalgaslaw:

    p V n R T =

    inwhich:

    p =partialpressureofgasingasphase[Pa]

    V =totalgasvolume[m3]

    n =numberofmolesofagas[mol]

    R =universalgasconstant=8.3142[J/(K.mol)]

    T =(air)temperature[K]

    Figure 4 - Spray aeration

    Figure 3 - Plate aeration

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    Thegasconcentrationcanbecalculatedbymulti-

    plyingthemolargasconcentrationinair[mol/m 3]

    withthemoleculeweightoftheconsideredgas:

    gn p

    c MW MWv R T

    = =

    inwhich:

    MW=molecularweightofagas[g/mol]

    Partial pressure

    Thepartialpressureofacertaingasispropor-

    tionaltothevolumefractionofthatgasinair:

    o fp p V=

    inwhich:

    po = standardpressureatsealevel(=101,325)

    [Pa]

    Vf = volumefraction[-]

    InTable2thevolumefractionsofdifferentgases

    thatoccurinairaregiven.

    Thesevaluesarevalidfordryairwithastand-

    ardpressureof101,325Pa.Withthesevolume

    fractionsthepartialpressuresofallgasesinair

    canbecalculated.Gasesthatdonotoccurinair

    haveapartialpressureequaltozeroandthusa

    cgequaltozeroandalsoac wequaltozero(for

    example,methane).

    InFigure5theequilibrium(saturation)concentra-

    tionofoxygenisgivenasafunctionofwatertem-

    perature.Withanincreaseinwatertemperature,

    thesaturationconcentrationdecreasesbecause

    lessoxygencanbedissolvedinwarmwater.

    Thesaturationconcentrationcwislinearlydepen-

    dent on pressure. The saturation concentration

    foroxygenatthestandardpressureof101,325

    Pais11.3g/m3.

    Ataheightof8,000meters(forexample,Mount

    Everest),theairpressureisonly10,000Pawhich

    meansthatthesaturationconcentrationforoxy-

    genis1.1g/m3.

    Intheseaata depthof100metersbelowsea

    level,thepressureis1,100,000Pa.Thisresults

    in a saturation concentration foroxygen of 113

    g/m3.

    2.2 Kinetics

    As soon as water and air are in contact, gas

    Gas

    Distribution coefcient (kH

    )

    T=0oC T=10oC T=20oCMolecularweight

    (MW)[g/mol]

    Nitrogen(N2

    ) 0.023 0.019 0.016 28

    Oxygen(O2

    ) 0.049 0.041 0.033 32

    Methane(CH4

    ) 0.055 0.043 0.034 16

    Carbondioxide(CO2

    ) 1.71 1.23 0.942 44

    Hydrogen sulde (H2

    S) 4.69 3.65 2.87 34

    Tetrachloroethelene(C2

    HCl4

    ) -1 3.20 1.21 167

    Tetrachloroethene(C2

    HCl3

    ) -1 3.90 2.43 131.5

    Chloroform(CHCl3) -1 9.0 7.87 119.5

    Ammonia(NH3

    ) 5000 2900 1800 17

    1Thesesubstancesarestillintheliquidphaseatatemperatureof00C and therefore the kH

    is not known

    Table 1 - Distribution coefcient for gases and the molecule weight

    Gas

    Volume

    fraction1

    [%]

    Saturation

    concentration2

    cw

    [g/m3]

    Nitrogen(N2) 78.084 17.9

    Oxygen(O2) 20.948 11.3

    Argon(Ar) 0.934 -

    Carbondioxide(CO2) 0.032 0.79

    Othergases 0.02 -

    1Indryairatastandardpressureof101,325Pa

    2Waterandairtemperatureof100C

    Table 2 - Volume fractions of gases

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    molecules willbe exchanged continuously. The

    directionofthenetgastransportdependsonthegasconcentrationinthewater(cw)andtheequi-

    libriumconcentrationce.

    InFigure6thegasconcentrationinthewaterat

    timet=0issmallerthantheequilibriumconcen-

    tration. This means that more gas can be dis-

    solvedinthewaterthanispresentattimet=0.

    Anetgastransportfromair towateroccurs, as

    indicated by the arrow in the gure. The net gas

    transport continues until time t=innite and the

    gas concentration in the water is equal to the

    equilibrium (or saturation) concentration. Then,

    thegastransportfromwatertoairandviceversa

    are equal. Hence, no net gas transport occurs

    andthegasconcentrationinthewaterandairdo

    notchange.Inthatcase,adynamicequilibrium

    isestablished.

    Thevelocityofgastransferisdeterminedbythe

    kinetic equation:

    w2 s w

    dck (c c )

    dt=

    inwhich:

    cw = concentrationofagasinwater[g/m3]

    k2 = gas transfer coefcient [s-1]

    The time-dependent gas concentration change

    inwaterisrepresentedbythetermdcw/dt.The

    changesinconcentrationaredeterminedbythe

    magnitude of the gas transfer coefcient k2andthedrivingforce(cscw).

    The gas transfer coefcient k2isadevice-depen-

    dent parameter. The larger the contact surface

    areabetweentheairandwaterandtherenewal

    ofthissurfacearea,thebetterthegastransfer

    and the higher the gas transfer coefcient.

    The driving force is dened by the amount of gas

    thatcanmaximallybedissolvedinavolumeof

    water, the saturation concentration cs, and the

    amountofgasthatispresentinavolumeofwa-

    ter, theconcentrationcw.Thelargerthedriving

    force,thefasterthegastransfer.

    Theincreaseintheoxygenconcentrationintime

    isshowninFigure7foraconstantcs(10mg/l)

    andan initialoxygenconcentrationof0 mg/l.In

    thebeginning,whenthedifferencebetweenthe

    csandthecwisthelargest,thegastransferoc-

    curs at maximum velocity.As time passes, the

    gas concentration in water increases and thedrivingforcedecreases,whichgraduallyresults

    in a lower gas transfer rate. For t=innite the oxy-

    genconcentrationinwaterequalsthesaturation

    concentrationcs.

    Forabatchreactorthedifferentialequationcan

    besolvedbyintegration,withcw=cw,0attimet=0,

    taking into account that cs is constant:

    2( k t)

    w s s w,0

    c c (c c ) e =

    water temperature (oC)

    cw

    (g/m3)

    15.0

    12.5

    10.0

    7.5

    5.0

    2.5

    00 5 10 15 20 25 30 35

    air: 21% oxygenpressure: 101325 Pa

    Figure 5 - Saturation concentration of oxygen as a

    function of the water temperature

    cg

    air interface water

    t=infinite

    c1

    c0

    t=2

    t=1

    t=0

    concentration

    Figure 6 - Gas transport from air to water

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    or:

    2( k t)s w

    s w,0

    c ce

    c c

    =

    2.3 Mass balance

    Intheprecedingparagraphitisassumedthatthe

    oxygen concentration in air is constant. This is

    a simplication that is not always applicable. For

    situationsinwhichthegasconcentrationchang-

    esinairareimportant,amassbalanceneedsto

    beformulated.

    InFigure8amassbalanceforagastransfersys-

    temisschematicallypresented.

    A water ow (Qw),withagasconcentrationinthe

    water phase (cw,0), and an airow (Qa), with a

    gasconcentration (ca,0), enter thesystem.The

    same water ow (Qw),withagasconcentration

    inthewaterphase(cw,e), and the same airow(Qa), with a gas concentration (ca,e),leave the

    system.

    Forthegastransfersystem,thelawofcontinuity

    isvalid:thetotalamountofgasthatentersand

    leavesthesystemmustbeequalandamassbal-

    ancecanbesetup:

    w w,0 a a,0 w w,e a a,eQ c Q c Q c Q c + = +

    Byusingthemassbalance,thegasconcentra-

    tions in the air and water are linked and can be

    applied inthe gastransferequationspresented

    below.

    The RQ is the relationship between the airow

    and the water ow. Using the mass balance RQ,that relationship can be dened as follows:

    w,e w,0a

    w a,0 a,e

    c cQRQ

    Q c c

    = =

    2.4 Solutions for the basic equations

    Forgastransfersystemsthreeequationsarede-

    rived:

    - equilibriumequation

    - kinetic equation

    - massbalance

    With these equations it is possible to calculate

    thechangesinthegasconcentrationsinwater

    andair.

    Combining the equilibrium equation and the

    massbalanceresultsintwoequationswithtwo

    unknown variables, cwandca.Withdifferentini-tialconditions,differentsolutionsfortheseequa-

    tionscanbeobtained.

    In the following section a number of equations

    arepresentedthatformthebasisforthecalcula-

    tion of gasconcentrations in water fordifferent

    gastransfersystems.

    Ifthevariationinthegasconcentrationintheair

    cannot be neglected, the mass balance needs

    to be taken into account. The efciency of a gas

    transfersystemcanbecalculatedbydividingthe

    Qw, cw,0

    Qa,ca,0

    Qa, ca,e

    Qw, cw,e

    Figure 8 - Gas transfer system with in- and outow of

    water and air

    0

    4

    8

    12

    0 200 400 600 800 1000 1200 1400

    time (s)

    concentrationO2

    (g/m3)

    saturation concentration

    driving force

    co = 0 g/m3

    cs = 10 g/m3

    k2 = 0.00193 s-1

    Figure 7 - Oxygen concentration in water as a func-

    tion of contact time

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    realizedgastransferbythemaximumachievable

    gastransfer:

    w,e w,0

    s w,0

    c cK

    c c

    =

    The following basic systems can be distin-

    guished:

    - plug ow with a constant gas concentration in

    air

    - completemixed system with a constantgas

    concentrationinair

    - plug ow, co-current ow and a variable gas

    concentrationinair

    - plug ow, counter-current ow and a variablegasconcentrationinair

    - complete mixed system with a variable gas

    concentrationinair

    Plug ow with a constant gas concentration

    in air

    A characteristic of a plug ow is that the water is

    supposed to ow as a frozen volume through

    thegastransfersystem.Thus,allwaterparticles

    inthesystemwillhavethesameretentiontime.

    The efciency equation, then, can be written into

    thefollowingequation:

    = 2

    ( k t )K 1 e

    An example of a plug ow where the gas con-

    centration inairandthuscsissupposedtobe

    constantisafallingdropletfromasprayaerator

    intoa largeopenspace.Thechangeinthegas

    concentrationinairasaresultofgastransfercan

    thenbeneglected.

    Complete mixed system with a constant gas

    concentration in the air

    The opposite of a plug ow is a complete mixed

    system.Insuchagastransfersystemthewater

    dropsare mixedextensively. Consequently, the

    retentiontimeofthewaterdropsisvariable.Some

    waterdropsleavethesystemdirectly(short-cir-

    cuit ow) and others stay for a prolonged period

    of time in thesystem(eddy formation).The ef-

    ciency is calculated with:

    =

    +

    2

    2 1

    k t

    1K

    1

    Plug ow, co-current ow and a variable gas

    concentration in air

    The equation for co-current ow can be found

    withthefollowinginitialconditions:

    cw=cw,0 attimet=0;

    ca =ca,0 attimet=0

    Thefollowingsolutioncanbederived:

    d2

    d

    k( k t( 1 ) )

    RQ

    3 k

    RQ

    1 eK

    1

    +

    =

    +

    Plug ow with counter-current ow and vari-

    able gas concentration in the air

    The equation for counter-current ow can be

    foundwiththefollowinginitialconditions:

    cw=cw,e attimet=te;

    ca =ca,e attimet=te.

    Thefollowingsolutioncanbederived:

    =

    d2

    d2

    d

    k( k t (1 ))

    RQ

    4 k( k t (1 ))k RQ

    RQ

    1 eK

    1 e

    System RQ

    Application

    drinking

    water

    Application

    wastewater

    Cascade 0.4 O2

    ,CH4

    -

    Toweraerator 5-100 CO2

    CHCl3

    Plateaerator 20-60 CH4

    ,CO2

    ,O2

    -

    Sprayaerator 0.5 O2

    ,CO2

    -

    Deepwellaerator 0.1-0.4 O2

    O2

    Coneaerator >5 - O2

    Table 3 - Air/water ratio for different gas transfer sys-tems and the gases that can be removed

    by the system

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    Complete mixed system with variable gas

    concentration in air

    Thefollowingsolutioncanbederived:

    =

    + +d

    2

    5 k1

    k t RQ

    1K1

    In Figure 9 the efciencies for oxygen (kH=0.039

    atT=10C)forthe5basicequationsareplotted

    against the RQ with a k2tof1.61.

    ThelinesforK1andK2areobviouslyconstant,

    because, in this case, RQ is not of importance.

    ThelinesforK3, K4andK5climbatincreasing

    values of RQ. When RQ approaches innity, the

    lines for the different plug ow systems K1, K3andK4andforthemixedsystemsK2andK5co-

    incide.

    It can be concluded that a counter-current ow

    reactor has a higher efciency than a co-current

    ow reactor, and plug ow reactors have a higher

    efciency than a complete mixed system.

    The RQ is an important factor for the gas transfer

    systems.

    Duringthedesignofagastransfersystem,the

    RQ value must be chosen. This depends on the

    required efciency and the type of gas that needs

    toberemoved(Example1).

    The example to the right shows that the RQ nec-

    essary for a 90% removal efciency of chloro-

    form is 200 times greater than the value of RQ

    formethane.Thismeansthatforthesamewater

    ow the airow through the system and the ca-

    pacityoftheventilatormusteachbeatleast200

    timesgreater.

    A general rule that is applicable for the inuence

    of the type of gas on the efciency is: the higher

    the value of kH, the moreair is needed for re-

    moval, resulting in an increased RQ. Different

    gastransfersystemshavedifferentcharacteris-

    tics with respect to RQ.

    A cascade, for example, has an RQ of approxi-

    mately 0.4 and is therefore suitable for the re-

    movalofmethaneandtheadditionofoxygen,but

    isnotusedfortheremovalofchloroform.

    Tower aerators are operated under different RQ

    valuesandcanbeusedforgasesthatareeither

    easy or difcult to remove, like tetra- and trichlo-

    roethene.

    Deepwellaeratorshavethesamecharacteristics

    ascascades.

    Example 1: The effect of RQ on the ef-

    ciency

    Calculateforagastransfersystem,thatcan

    berepresentedbyacompletemixedsystem,

    the RQ that is necessary for a gas removal

    efciency of 90% for methane, carbon dioxide

    andchloroform.Assumethatthecontacttime

    in the reactor is innite and that the water tem-

    peratureis100C. The efciency for a complete

    mixedsystemcanbecalculatedwiththefol-

    lowingequation:

    =

    + +d

    2

    5 k1

    k t RQ

    1K

    1

    The contact time is innite, so 1/k2t=0.The

    above equation can be simplied as:

    =

    +d

    5 k

    RQ

    1K

    1

    Gas Efficiency

    [%]K5

    [-] KD

    [-] RQ

    Methane 90 0.90 0.043 0.39

    Carbondioxide 90 0.90 1.23 11.1

    Chloroform 90 0.90 9.62 86.6

    k5k4k3

    k2

    k1

    0.001 0.01 0.1 1 10

    1

    0.8

    0.6

    0.4

    0.2

    0

    k1

    k2

    k3

    k4

    k5

    RQ

    k2t

    kDT

    K

    (-)

    =

    =

    =

    1.61

    0.039

    10oC

    Figure 9 - Efciencies of the different basic equations

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    3 Practice

    3.1 Cascade

    The water in a cascade is falling onto several

    steps. Each step contains an overow weir and a

    receivinggutter.Whenwaterpassesoveraweir,

    an interface between air and water is created.

    Whenthejetsubmergesintothereceivingbody

    of water, signicant amounts of air are entrained.

    Theentrainedairisthendispersedintheformof

    bubblesthroughoutthereceivingbodyofwater,

    whichleadstoanexcessivetransferofgases.

    The gas transfer takes place at the interface be-

    tweenthewaterandtheairbubbles(Figure10).

    Becausetheamountofairthatisentrainedislim-

    ited, the RQ is also limited. According to practical

    measurements and model investigations, the RQ

    ofcascadesisapproximately0.4.

    Theenergyconsumptionofacascadeis10-30

    Wh/m3.

    EfciencyAn estimate of the efciency for a cascade can

    be made, assuming thatthere is a relationship

    between the measured fall height and the ef-

    ciency. The efciency of a cascade depends on

    thefallheightofeachcascadestepandthenum-

    berofsteps:

    w, e w, 0 n

    s w, 0

    c cK 1 ( 1 k)

    c c

    = =

    inwhich:

    k = efciency for each step [-]

    n = numberofsteps

    In Table 4 the efciency is given for oxygen, car-

    bondioxideandmethaneasafunctionofthefall

    heightofastep.WiththedatafromTable4and

    the equation mentioned above, the efciency of a

    cascadewithnstepscanbecalculated.

    Inpractice,thetotalfallheightofallthecascadestepstogethervariesbetween2and7meters.

    From Table 4 it can be seen that oxygen and

    methane efciencies increase with an increase in

    fall height, but that the carbon dioxide efciency

    remains constant. This is a result of the low RQ

    valueforcascades.Carbondioxideremovalre-

    quires a higher value of RQ. The interface be-

    tweenairandwatergetssaturatedrapidlywith

    carbondioxide, regardlessofthe retentiontime

    ofairbubblesinthewater,whichisdependent

    onthefallheight.Thegreaterthefallheight,the

    deeperthepenetrationinthetrough,andthelon-

    gertheretentiontime.

    Weir loading

    Weirloadingistheamountofwaterpermeterper

    hour that ows over the weir.

    The weir loading canbe calculated by dividing

    the ow by the net weir length (Figure 11):

    =w

    wnett

    Qq

    L

    inwhich:

    Figure 10 - Scheme of a cascade

    K [%] h = 0.2 h = 0.4 h = 0.6 h = 0.8 h = 1.0 h = 1.2

    O2 14 25 36 46 51 55

    CO2 14 14 15 15 15 15

    CH4 14 27 37 48 56 62

    Table 4 - Efcency coefcient k of different gases as a function of the weir height

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    qw = weirloading[m3/mh]

    Lnett = totalweirlength[m]

    From various experiments it can be concluded

    that the efciency of a cascade is almost inde-

    pendent of the weir loading. The advantage of

    thisisthatthegastransferisstillsatisfactoryat

    production ows that are lower than the design

    ow.

    Withcascadestheweirloadingisgenerallybe-

    tween50and100m3/(mh).

    Trough depth

    Thetroughdepthofacascadeischoseninsuchawaythatthefallingwaterjetwillnotreachthe

    bottom.Airbubblesaredraggedtoamaximum

    depthandthisresultsinamaximumcontactor

    retentiontimeandamaximumgastransfertime.

    Asaruleofthumb,thetraydepthmustbemore

    thantwo-thirdsofthefallheight.

    Trough width

    Thetroughwidthmustbelargeenoughtoreceive

    thefallingwaterjet(Figure12).

    The fall time ofthewater jetcan becalculated

    withthefollowingequation:

    = 21h g t

    2

    or

    =

    2 ht

    g

    Thedistancexcanbecalculatedwhenthewater

    velocityvo is known. To calculate the velocity, the

    equation of the complete overow is used:

    23 w

    net

    Qd

    g L

    =

    and

    wo

    net

    Qv

    L d=

    inwhich:

    Qw=discharge[m3

    /s]d = thickness of the falling water jet [m]

    vo=velocityofthefallingwaterjet[m/s]

    The distance can be calculated with the equa-

    tion:

    = ox v t

    Withthedistancexthetroughwidthcanbecal-

    culated.

    As a ruleof thumb,the troughwidth is at least

    twicethedistancex:

    = B 2 x

    Itisobviousthatthetroughwidthmustbecalcu-

    X

    h

    H

    B

    Figure 12 - Scheme of the width of a cascade trough

    80 mm 80 mm 80 mm+ + +(...) = Lnet

    40 mm

    Lgross

    Figure 11 - Weir loading of a cascade aerator

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    lated using the maximum ow that is discharged

    overtheweir.

    Congurations

    Thecascadetroughscanbeplacedintwodiffer-

    entways.Theycanbeplacednexttoeachother

    orontopofeachother(Figure13).

    Placingthemnexttoeachotherisadvantageous

    because it looks attractive.

    The advantage of putting them on top of each

    otheristhatlessspaceisused.Thedisadvan-

    tage, however, is that this makes maintenance

    more difcult.

    3.2 Tower aerator

    Atoweraeratorconsistsofacylinderof steelor

    synthetic material that is lled with a packing me-

    dium.

    Packing media can consist of stacked slats or

    tubes, or specially designed packing material like

    thePall-ringandtheBerl-saddle.

    Inthetopsectionofthetowerthewaterisdivided

    over the packing medium and ows down over

    the medium surface. As a result of the ow of wa-

    ter over the packing medium, a large contact sur-

    facebetweentheairandwateriscreatedforgas

    transfer.Inaddition,thewaterfallsindropsfrom

    one packing element to the other, continuously

    forming newdrops thus renewing theair-water

    interface.

    Theaircanberenewedbynaturalventilationor

    withthehelpof aventilator.In casea ventilator

    isused,theaircanhaveaco-orcounter-current

    ow in the tower. In Figure 14 a tower aerator

    with counter-current ow is represented.

    In Figure 15 different types of packing material

    are represented. The packing material can be

    producedfromsyntheticmaterial,metal,carbon

    orceramicmaterial.

    Thedimensionsoftheindividualpiecesvaryfrom

    6 mmto 75 mm. Inpractice,installationsused

    for purifying drinking water use mostly synthetic

    packing material with a dimension of 25-50 mm.

    Figure 13 - Cascades beside each other and on top

    of each other

    A

    B

    C

    D

    E

    A influentB packing materialC air supplyD effluentE air discharge

    Figure 14 - Representation of a counter-current tower

    aerator

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    Surface loading

    The surface loading (ow divided by surface

    area)thatinpracticeisusedintoweraeratorsis40to100m3/(m2h).

    The applied packing height, that determines the

    retentiontimeofthewaterinthetoweraerator,

    variesbetween3and5meters.

    Efciency

    With tower aerators, removal efciencies can be

    ashighas95%.

    The applied RQ depends on the gases that need

    toberemoved.

    InFigure16theresultsofapilotexperimentus-

    ingatoweraeratorarerepresented.

    It can be concluded that the efciency hardly

    changeswhenthesurfaceloadingisincreased.

    This is considered remarkable. In most gas trans-

    fer systems ,a larger ow results in a greater ow

    rate,resultingina shorterretentiontimeforthe

    water, and a lower efciency.

    This insensitivity to the surface loading with atowercascadecanbeexplainedbythefactthat

    theretentiontimeinatoweraeratorispractically

    independent of the water ow. The water falls un-

    der the inuence of gravity, so the retention time

    is mainly determined by the type of packing ma-

    terialusedandtheheightofthebed.Itisindiffer-

    entifmoreorlesswaterfallsthroughthetower

    becausetheretentiontimeremainsunchanged.

    InFigure 17 more results from the removal ef-

    ciency experiments are given.

    For all points in the graph, with the combina-

    tion of packing height and RQ, an efciency of

    99%isreached.Fromthisgraphitcanbecon-

    cluded that, at a certain point, an increasing RQ

    value does not lead to a reduction of the packing

    height.Atthatpointtheamountofairisnotde-

    cisivebuttheminimumnecessaryretentiontime

    forremovalof99%isreached.

    Clogging

    Adisadvantage of the tower aeratoris that the

    systemissensitivetoclogging.Ifiron(Fe 2+)is

    presentingroundwater,itwilloxidizeinthetower

    aerator(Fe3+) and remain on the packing material

    (Fe(OH)3). Because the oxidized iron inuences

    thegastransfernegatively,itwillbenecessaryto

    back ush the tower aerator. Water with a high

    velocity,oracombinationofwaterandair,isthenushed through the tower aerator, removing the

    iron contamination from the packing material. In

    addition to ushing, it will be necessary to pe-

    riodically clean periodically the packing mate-

    rial chemically. In this case, the packing material

    mustberemovedfromthetoweraerator.

    Co- or counter-current ow

    Atoweraeratorcan beoperatedin bothco-cur-

    rent ow and counter-current ow (Figure 18).

    80

    85

    90

    95

    100

    0 20 40 60 80 100

    effic

    iency(%)

    RQ (-)

    18 m3/(m2*h)36 m3/(m2*h)

    trichloro ethene

    packing material: hy-pack steel 30mmheight packing material 3mtemperature: 11 oC

    54 m3/(m2*h)72 m3/(m2*h)

    Figure 16 - Removal efciency of a tower aerator as a

    function of RQ at different surface loadings

    Figure 15 - Different types of packing material

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    Intheparagraphontheoryitwasexplainedthat

    counter-current ow results in a higher efciency

    than co-current ow. Still, co-current ow is ap-

    plied.Thereasonsforthisare:

    - toavoidhighcarbondioxideremovalswhich

    will cause limestone scaling. Using a co-cur-

    rent aerator with low values of RQ, the addi-

    tion of oxygen and the removal of methane

    are sufcient while carbon dioxide removal

    willbelimited.

    - to apply needed high surface loadings. Us-

    ing counter-current ow, ooding can occur.

    Thismeansthatawaterlayeriscreatedinthe

    columnbecauseofthebuoyancyofair,which

    can even result in the tower aerator lling up

    withwater.

    3.3 Plate aerator

    Aplateaeratorconsistsofahorizontalperforated

    plate. Water ows over the plate and air is blown

    through its orices, creating a bubble bed of air

    andwaterabovetheplate(Figure19).

    This results in intense contact between the air

    andthewater.

    The combination of horizontal water ow and ver-

    tical airow (i.e., the ows are perpendicular), is

    called cross-ow aeration.

    The height of thebubblebed is determined by

    adjustingtheheightoftheweirattheendofthe

    plate.

    Thediameteroftheholesintheperforatedplate

    isusually1-1.5mm.Theopensurfaceareavar-

    iesfrom1.5%to3%ofthetotalplatesurface

    area.

    Theenergyconsumptionofaplateaeratoris30-

    40Wh/m3.

    Duetothereducedconstructionheightandhead

    loss,thistechniqueoffersgoodpossibilitiesforin-

    corporatingitinexistingtreatmentplants.Some-

    timesitispossibletoplacetheplateaeratorsinthe lter building directly above the lters.

    Efciency

    The efciency of plate aerators is mainly deter-

    mined by the applied RQ and the retention time

    ofthewaterontheplate.Thereisnoanalytical

    equation for calculating the efciency, unlike the

    co- and counter-current ows.

    In practice, the applied RQs vary from 20 to 60

    andtheappliedsurfaceloadingvariesfrom30to

    0

    5

    10

    15

    0 10 20 30 40

    heightpackingmaterial(m)

    RQ (-)

    18 m3/(m2*h)36 m3/(m2*h)

    trichloro ethene

    packing material: hy-pack steel 30mmefficiency: 99%temperature: 11 oC

    54 m3/(m2*h)72 m3/(m2*h)

    Figure 17 - Required packing height and RQ to achieve

    an efciency of 99% at different surface

    loadings

    co-current flowcounter-current flow

    airwater water

    air

    Figure 18 - Design alternatives for tower aerators

    air

    water

    Figure 19 - Representation of a plate aerator

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    tween air and water is saturated. Because the

    dropletremainsintactduringthefall,theinterface

    isnotrenewedandthegastransferstops.

    Energy consumption

    Sprayaeratorsneedacertainpressuretoguar-

    anteeanequallydistributedspray.Forsprayers

    that produce ne droplets (mist), the pressure is

    thegreatest,abouta10-meterwatercolumn.

    Theenergyconsumptionofthesehighpressure

    sprayaeratorsis,therefore,thelargest.

    Clogging

    Adisadvantageofsprayersistheirhighsensitiv-

    itytoclogging.

    Alternatives in practice

    40m3/(m2.h).

    Clogging

    Plateaeratorsaresensitivetocloggingbecause

    of the small orices in the plate. Iron deposits

    found on the plate can block the orices and af-

    fect the ow through the plate.

    Short-circuit ows can occur, inuencing nega-

    tivelythegastransfer.

    Dependingontheironloading,theplatehasto

    be cleaned once a month or once every other

    month.It might also be necessary to clean the

    platechemicallyonceortwiceayear.

    3.4 Spray aerator

    Sprayaeratorsdividewaterintosmalldroplets,

    whichresultsinalargeair-waterinterface(Figure

    20).Theenergyconsumptionofsprayaeratorsis

    10-50Wh/m3,dependingonthetypeofaerator.

    Anadvantageofsprayaeratorsistheeaseofin-

    corporationintoexistinginstallations.Thespray

    aerators can be placed directly above the lters.

    Efciency

    When the air is intensively renewed, the efcien-

    cyofsprayaeratorscanbecalculatedwiththe

    followingequation:

    = =

    22

    2h( k )

    g( k t)K 1 e 1 e

    The efciency for the addition of oxygen can vary

    from65to80%,forthecarbondioxideremoval

    the efciency varies from 60 to 80%.

    In Figure 21 the efciency of the Dresden-nozzle

    forcarbondioxideremovalasafunctionofthe

    fallheightisshown.

    It is remarkable that after a certain fall height the

    efciency remains more or less constant. The

    reasonisthataftersometimetheinterfacebe-

    Figure 20 - Spraying small droplets of water

    2

    1

    0

    0 0.25 0.5 0.75 1

    KCO2[-]

    h[m]

    Figure 21 - Efciency Dresden-nozzle as a function of

    the fall height

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    Sprayaeratorscanbedividedintotwogroups:

    upward-anddownward-directedsprayaerators.An example of the rst type is the Amsterdam

    sprayaerator (Figure 22).In this type ofspray

    aerator, two jets are directed perpendicular to

    eachother,dispersingthewater.Thisresultsin

    manydropletsintheair.Duringthefallofthewa-

    ter droplets, the gas transfer takes place.

    Anexampleofthesecondtypeofsprayeristhe

    Dresdensprayer(Figure23),ortheplatespray-

    er. Here, the water ows through a plastic tube

    and strikes a disc (plate), shaping the water like

    an umbrella, and eventually disintegrating into

    droplets.

    3.5 Alternative aeration systems

    Vacuum gas transfer system

    Avacuumgastransfersystemisusuallyexecut-

    ed as a tower aerator lled with a packing mate-

    rialinwhichthepressureisloweredbyavacuum

    pump(Figure24).

    Duetothevacuumpump,gasisremovedfrom

    thetower, resulting in lower gasconcentrations

    and a decreased pressure there. Because the

    gasconcentrationsinthetowerarelowerthanin

    theatmosphere,thesaturationconcentrationsin

    thetowerarealsolower.Becauseofthelowsat-

    uration concentrations, it is possible to remove

    higherlevelsofgasfromthewaterthanispos-

    sible under atmospheric conditions. This makes

    a vacuumgastransfer system ideal forremov-

    ingdissolvednitrogenandoxygenfromthewater

    and is frequently applied before the denitricationprocess.

    The efciency of the vacuum gas transfer system

    depends onthevacuumpressure thatis main-

    tained in the tower. In the absence of an air ow,

    the RQ equals zero. Since oxygen is not brought

    into thesystem,oxidation of iron cannot occur.

    Thisallowsthewatertobepumpedtothenext

    treatment process, contrary to a cascade. In

    a cascade oxidation of iron does occur, which,

    whenthewaterispumpedtothenexttreatment

    Figure 22 - Amsterdam sprayer

    Figure 23 - Dresden sprayer

    A

    B

    D

    E

    A influent

    B packing materialC air supply

    D effluent

    E air discharge

    Epump

    pump

    Figure 24 - Representation of a vacuum liquid-gas

    exchange

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    bladeintheformofacone,situatedinabasin

    on thewaters surface(Figure 28). Through the

    blade, water is abstracted from underneaththeconeandsprayedlaterallyoverthewaterssur-

    face.Becausewaterdropletsareformedandair

    isentrained,gastransfercanbeachieved.

    As a result of the suction of water from under-

    neathandthehorizontaldistributionofthewater,

    a circular ow is created and the water in the ba-

    sinisaerated.

    Figure 27 - Bubble aeration system Figure 28 - Cone aerator

    Further reading

    Watertreatment:Principlesanddesign,MWH

    (2005),(ISBN0471110183)(1948pgs)

    Modellering van intensieve gasuitwisselings-gasuitwisselings-

    systemen(inDutch),A.W.C.vandeHelm(MSc

    thesis)

    aerationandgastransfer watertreatment