erosion of dust-filtered helicopter turbine engines

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  • 7/21/2019 Erosion of Dust-Filtered Helicopter Turbine Engines

    1/6

    J O U R N A L O F

    A I R C R A F T

    V o l .

    32, No. 1, January -F ebruary

    1995

    Erosion ofDust-Filtered HelicopterTurbineEngines

    Part

    II:

    Erosion

    Reduction

    Joh a n n e s P. van der Wa lt* and A l a n N u r i c k t

    University

    of the

    Witwatersrand, Johannesburg, South

    Africa

    The effects of erosion of filteredand

    unfiltered

    dusts ingested by a helicopter gas turbine engine are investigated

    for

    the case where particle-on-particle interactions are negligible. The effects of the particle size distribution of

    th e

    dust

    in the

    ingested airstream

    on

    engine life

    are

    included

    in the

    analysis.

    An

    erosion reduction factor, which

    may be used to predict the increase in life of a gas turbine engine in terms of a filtration efficiency factor and

    the effective particle sizes of the filtered and unfiltered dusts, is presented. The method is validated using

    experimental results obtained on a T urmo

    IV B

    gas turbine engine.

    Nomenclature

    E

    =

    erosion, g or cm

    3

    E, =

    erosion rate,

    g/g or

    cm

    3

    /g

    / S A E ( $ )

    =

    fractional particle size distribution

    of SAE

    coarse

    test dust

    /((/>) = fractio nal particle size distribution of

    ingested dust

    k =

    constant dependent

    on

    engine

    and

    erodent

    properties

    M =

    mass

    of

    ingested particles,

    kg

    M

    fe d

    =

    dust mass

    fed to the

    filtration system,

    kg

    M j =

    dust mass

    in

    each particle size band

    /,

    kg

    ^scav

    dust mass scavenged

    by the

    filtration

    system,

    kg

    m

    t

    =

    M-JM

    P

    2

    IP \

    =

    pressure ratio of the first-stage compressor

    S

    scavenge ratio

    V =

    impact velocity, m/s

    W

    r

    = rate of engine power loss, % / k g

    a =

    exponent

    in Eq. (3)

    A V K = percentage eng ine power loss, %

    T J m a s s

    =

    mass-based

    filtration

    efficiency

    = particle size,^m

    0

    ef f

    = effective

    particle size,

    jam

    0 m a x

    =

    max imum part icle size,^m

    0 m a x

    S A E

    =

    m a x i m u m u n f i l te r e d S A E

    coarse

    particle size,

    f j u m

    c / >

    m in

    = min imu m particle size,

    ju m

    ^ m i n S A E

    =

    m i n i m u m u n fi l t e re d S A E c oa rs e

    particle

    size,

    ju m

    ^ S A E

    e f t

    =

    effective

    particle size

    o f S A E

    coarse

    test dust, ) L t m

    Introduction

    T

    H E

    p e r f o r m a n c e

    of an air filtration

    system

    is

    often

    ex -

    pressed in terms of a

    filtration

    efficiency parameter that

    gives th e

    reduct ion

    of the

    mass

    (o r

    concentration)

    of

    i m p u -

    rities in the through-f low ai rs t ream. T h e impuri t ies in the

    airstream

    ingested

    b y a

    helicopter

    ga s

    turbine engine result

    in engine erosion, wh ich can be greatly reduced by the use

    of

    a dust

    filter fitted

    to the engine in take. A simple mass-

    R ecei v ed May 5,

    1993;

    revision received A pril 20 ,

    1994;

    accepted

    fo r

    p u b l i cat i o n

    May 3, 1994.

    C o p y ri g h t

    1994by the

    A m e r i c a n

    I n s t i t u t e o f

    A e r o n a u t i c s

    an d

    A s t r o n a u t i c s ,

    Inc.A ll

    rights reserved.

    ^ G r a d u a t e

    S t u d en t , S ch o o l

    of

    M ech an i cal E n g i n eer i n g , B ran ch

    of

    A e r o n a u t i c a l E n g i n e e r i n g .

    tProfessor, School

    of

    M ech an i cal E n g i n eer i n g , B ran ch

    of

    Aero-

    based

    filtration

    efficiency

    p a r a m e t e r

    doesnot,

    however,

    pro-

    vide

    a

    complete measure

    of the

    engine erosion,

    and it is

    pro-

    posed that

    filtration efficiencies

    be expressed in terms of an

    erosion reduction factor that provides a direct measure o f

    engine

    life

    extension.

    A l t h o u g h

    some research has been done on helicopter en-

    gine

    erosion characteristics,

    i t

    appears tha t l i t t le

    ha sbeen

    done

    to incorporate these parameters into a practical fi l tration as-

    sessment method.

    D u f f y

    et

    al.

    1

    presented

    a

    complete

    set of

    en gin e

    erosion curves

    for theT7

    engine where

    th e

    engine

    erosion

    is

    expressed

    in

    t e r m s

    of initial

    engine power,

    influ-

    enced

    by the

    mass

    an d

    mass mean particle sizes

    of

    ingested

    dust. However, no attempt to construct a

    filtration

    assessment

    correla tion

    that is based on these erosion curves could be

    fo und

    in the open l i terature.

    Mass-Based Filtration Efficiency

    Mass-based

    filtration efficiencies can be

    defined

    as

    1?mass

    Mass

    of

    dust removed

    Mass of dust fed

    ( i )

    W h e n

    filtration

    systems feature dual

    flow

    paths (i .e., through-

    flow

    an d

    scavenge

    f lo w ), a

    correction

    to the

    dust mass

    fed to

    th e system is required. A f o r m u l a t i o n of this relationship

    expressed

    in

    terms

    of the

    ingested

    an d

    scavenge particle mass

    fractions can be written

    2

    :

    T/mass

    =

    1

    M

    sca

    -

    S

    (2 )

    Relationship

    Between Engine Power Deterioration

    andErosion

    A relat ionshipby van der W a l t an d Nurick

    3

    relates filtered

    helicopter

    engine power deteriorat ion

    to

    erosion,

    o r

    more

    specifically

    to the mass an d size of the ingested particles. I t

    w as

    shown that

    E = k M < f > V

    a

    or

    E,

    =

    k c / > V

    u

    3)

    an d

    t h a t

    a

    l inear relat ionship

    can be

    assumed between engine

    erosion and

    power deteriorat ion

    for a filtered

    helicopter

    en -

    gin e,

    which may be w r i t t e n

    a

  • 7/21/2019 Erosion of Dust-Filtered Helicopter Turbine Engines

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    VANDER WALT AND

    NURICK:

    DUST-FILTERED

    HELICOPTER ENGINES

    PARTII 113

    Percentage by Mass in

    Band

    [ ]

    0.1

    1 1

    Particle

    Size [Microns]

    1000

    Fig.

    1 SAE

    coarse

    and Donaldson

    through-flow (SAE coarse

    dust

    ingested) particle size distribution

    expressed

    as

    mass

    fractions.

    or

    W

    r

    =

    4)

    For the

    case

    of a

    sparse

    dust d istr ibution in

    wh ich

    particle-

    on-particle

    interactions are

    negligible,

    th e engine p o w e r loss

    is given by

    A W

    =

    k M

    n

    < f >

    H

    V

    a

    =

    kV

    a

    5)

    Practical Application of

    Erosion

    Analysis

    Procedure

    Th e p rimary ob ject ive of th e

    engineerosion analysis

    is to

    establish

    a first-order relationship between th e mass-based

    filtration efficiency of a filter and the associated increase in

    engine

    life.

    Sincea whole spectrum ofparticle

    sizes

    isingested

    d uring

    n o r m a l

    flight

    condit ions,

    th e

    re la tionship

    mu st in clu de

    th e effects of a

    dust

    size distr ibution. To

    enable realistic

    an d

    repeatable simulations to be obtained in the experimental

    w o r k ,

    graded test

    dusts

    (MIL-E-5007E a n d S A E coarse) were

    used

    to

    r e p r e s e n t a m b i e n t

    dusts. The particle-size

    distribu-

    tions of the u n fi l tered S A E coarse dust and of the filtered

    dust t h a t entered the engine in the tests

    carried

    out are given

    in

    F i g .

    1.

    The

    size distributions given

    in Fig. 1 are expressed as

    mass

    fractions

    fo r

    small

    particle size bands. T o a d e q u a t e l y predict

    th e

    erosion

    of an engine, it was fou n d t h a t it is

    necessary

    to

    divide th e

    particle

    size distribution into 20-25

    size

    bands,

    s u m m i n g th e erosive effects of each band. T he masses fo r

    each particle size

    band

    can be rewritten in

    terms

    of

    mass

    fractions,

    wh ich

    ar e

    directly

    obtained

    from

    Fig.

    1.

    The re-

    duction in engine

    p o w e r

    given by the sum of the

    effects

    of

    each size band is given by

    A W-kVM

    = kVM

    (6 )

    Su b st i tu t ion of th e mass-based filtration efficiency [Eq. (2)]

    of th e

    par ticular filtration system

    being

    used

    into Eq. (6)

    results in acorrelation

    between

    enginepow er loss, mass-based

    fil tration efficiency,

    total dust mass

    fed to the system, and

    thro ugh-flo w

    particle

    size dis tr ib u t ion ,

    giving

    a

    re la tionship

    between

    engine

    erosion and overall filtration system perfor-

    m a n c e ,

    wh ich may be

    expressed

    as

    A W=kV(l - t / J M

    fc d

    f W 4 >

    7)

    A n erosion reduction factor for the

    filtration

    system can be

    expressed in terms of Eq. (7)

    u sin g, e.g. ,

    S A E

    coarse dust

    as

    a reference:

    *7erosion

    p f r m a x S A E

    '^min

    S A E

    SA

    \

    f*

    1

    1?mass)

    ^ mn

    1

    7mass)0eff

    8)

    This re la t ionship provides a direct measure of engine

    life

    extension

    for a specific filtration

    system

    relative to an

    engine

    ingesting

    unfiltered

    S A E coarse test

    dust .

    A

    value

    of

    i7

    erosion

    of ,

    e.g. , 10, would m e a n that the engine

    life

    is extended by

    a

    factor

    of 10

    relative

    to an engine

    w h e r e

    no

    filtration

    system

    isfitted

    a n d S A E

    coarse

    testdust isingested. Sincet he erosion

    is ap p rox imately proport ional to the ingested

    dust mass

    fo r

    cases of limited

    erosion

    (typically 10% or less

    power

    loss),

    th e

    erosion

    rate of the engine is obtained by dividing Eq. (7)

    by th e

    dust mass

    fed:

    W~

    e(J

    (9 )

    W h e n a

    comparison

    is drawn

    between

    tw o different fi l tra-

    tion

    systems

    using the same

    test d u s t ,

    th e

    rate

    of

    p o w e r

    de -

    ter ioration given by Eq. (9) can be

    expressed

    in terms of one

    of th e

    fi l trat ion

    sy stems.

    This results

    in a relat ion sh ip giving

    the rate of power deterioration of one system relative to the

    other,

    w hich

    is in fact a

    filtration system

    i m p r o v e m e n t

    in dex :

    a W i

    a W o

    J t

    T 7

    2

    f^tmx

    ass

    ) '

    Jmin2

    10

    Experimental

    Test

    Results on a

    Turbomeca Turmo

    IV B

    Turboshaft Engine

    Tests w e r e carried

    out on a Turbomeca

    Turmo

    IVB

    P u m a

    h elicop ter en gin e ( F i g . 2) , w hich w as

    installed

    an d

    tested

    in

    th e en gin eerosion test facility sh own in Fig. 3.

    2

    In the first

    test,

    th e

    filtered engine intake

    w as

    removed

    a n d S A E

    coarse

    test

    dust

    was fed directly into the engine. The engine

    p o w e r

    w as

    m o n i t o r e d regularly

    as a function of the mass of dust

    fed .

    T h e test w as repeated on the

    same en gin e w ith

    th e

    filtered

    air intake in

    place.

    T he

    results obtained from these tests

    are

    presented

    in

    Fig.

    4 .

    F or

    both

    th e u n fi l tered an d filtered dusts

    ingested

    into th e

    engine, the dust concentrations (1.1 g/m

    3

    and 0.055 g/m

    3

    ,

    respectively)

    were

    significantly

    lower

    t h a n

    th e concentra tion

    of 49

    g/ m

    3

    p r o v e nearlier

    3

    to

    h a v e negligible p ar tic le-on-par-

    ticle in teract ion s. Th e filtered airi n t a k ew as fitted withvortex

    tubes

    and had atested mass-based

    filtration efficiency

    of

    9 5 % .

    Due to the extremely high

    cost

    ofengineoverh aul, the filtered

    air intake

    was not

    tested with o t h e r

    vortex

    tube

    types or dust

    grades.

    O n e of th e s trik in g observations th at can b e made

    from

    F i g .

    4 is the w el l -kno w n ini t ia l p o w e r

    increase

    due to

    dust

    polishing th e

    blade su rface. D u r i n g this

    in cu b ation

    phase,

    typically

    5% of the engine

    life,

    2

    the

    erosionrate

    is a

    function

    of

    th e

    ingested

    dust

    mass

    an d

    will

    be referred to as the un-

    steady phase. Variat ions in the length of the unsteady phase

    will m ainly be due to var ia tions in the

    filtration

    efficiency.

    D u r i n g the steadyphase, engine power reduction ispropor-

    tional to the

    mass

    of dust fed and,

    h e n c e ,

    th e slope of this

    p ort ion

    of the curve represents th e rate of

    en gin e p o w e r

    d e-

  • 7/21/2019 Erosion of Dust-Filtered Helicopter Turbine Engines

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    114

    VAN

    DER WALT AND

    NURICK:

    DUST-FILTERED HELICOPTER

    ENGINES

    PARTII

    Fig. 2 Turbomeca

    Turmo

    IV B

    turboshaft

    engine layout.

    DYNAMOMETER

    Initial Engine Power

    [ ] Pressure Ratio

    P2/P1

    102 , I6.32

    DUST FEEDER

    Fig. 3 Engine

    erosion

    test

    facility

    showing

    dust

    feeder system sus-

    pended from a load

    cell, filtered

    engine

    intake,

    Turmo

    IVB

    engine

    and dynamometer.

    Initial

    Engine Power [ ] Pressure Ratio

    P2/P1

    102 i ; I5.32

    98

    96

    94

    92

    Initial

    Power

    Initial Power

    PressureRatio P2/P1

    Unsteady

    Phase

    FILTRATION

    ON

    Steady Phase

    5.3

    5.28

    5.26

    5.24

    5.22

    5.2

    0 20 40 60 80 100 120

    Dust Mass Fed [kg]

    TURMOIVBENGINE AirDenaity 1.0kg/m

    3

    Fig.

    4 Engine power and

    pressure ratio deterioration

    rates as

    func-

    tions of SAE

    coarse

    dustmassfed fortestswithand without afiltration

    system

    (95 efficient

    by mass) on a Turmo IV B

    engine.

    teriorat ion

    a n d ,

    t h u s , erosion.

    I t i s thus

    con clu ded t h a t suf-

    ficiently

    accurate

    valu es

    of the erosion rates for the two test

    casesa re representedb y theslopesof the steady-stateportions

    of

    th e curves.

    When the steady

    phase

    i s

    r e a c h e d ,

    a near-linear relationship

    between engine p o w e r

    and

    ingested dust mass exists. D u r i n g

    this

    linearphaseit is assum ed,based on the experimental

    data

    avai lab le,

    2

    that the engine p o w e r , for a

    given

    particle

    size

    distribution, is a

    function

    of only the mass of

    ingested

    d u s t .

    This enables

    th e

    analysis

    of

    filtration p e r f o r m a n c e

    to be

    car-

    ried out

    i n d e p e n d e n t l y

    of

    other

    factors . Th e deter ioration of

    th e

    e n g i n e

    compressor pressure ra tio P

    2

    /P

    l

    as a function of

    dust

    mass

    fe d (fil tration

    systemactive)

    is

    sh own

    in

    Fig.

    4 for

    the steady

    region.

    L i n e a r regressions on th e s teady p ort ion s of th e twopower

    deter ioration curves (i.e., ign orin g the initial

    point

    in each

    case) as well as thepressure ra tio deteriorat ion cu rve in F i g .

    4 as

    f u n ct i on s

    of the du st mass fed are

    s h o w n

    in F i g. 5 . Within

    th e

    first 5-10%

    power loss,

    w hich

    is the

    area

    of

    interest,

    a

    l inear relat ion sh ipseems to

    exist

    for all t h r e e relat ion sh ip s .

    F o r t h e test

    case

    wi t h

    n o

    fi l trat ion

    system

    f i t t ed,

    a least-

    sq u ares

    correlat ion coefficient

    of 0.9678 w as

    obtained,

    an d

    fo r

    th e

    t e s t w h e r e

    the 95%

    efficient fi l trat ion system

    w as

    fi t ted,

    a

    correlat ion

    coefficient o f

    0.9893 resu l ted

    for the en-

    10 0

    98

    96

    94

    92

    D

    Initial

    Power

    X initial Power

    Pressure Ratio

    P2/P1

    \FILTRATIONON

    FILTRATION

    ON

    SLOPE

    -0.03505)

    0 20

    TURMO IVB

    ENGINE

    40 60

    Dust Mass Fed

    [kg]

    6.3

    6.28

    6.26

    6.24

    6.22

    6.2

    80 100

    Ai r

    Density

    1.0kg/m

    3

    Fig.

    5

    Steady-state

    engine power and

    pressure

    ratio deterioration

    ratesas functions of dust

    mass

    fed fortests

    with

    and without a

    filtration

    system

    (95%

    efficient by

    mass)

    on a

    Turmo

    IV B

    engine.

    ginepower

    deterioration

    and a correlation

    coefficient

    of

    0.9920

    fo r

    th e pressure

    ratio

    deter ioration.

    These

    linear

    re la tionships

    were

    n o t p r o v e n fo r

    en gin es

    wi t h

    excessiveerosion d a m a g e

    (10% or m o r e

    p o w e r

    d e t e r i o r a t i o n ) , a n d a r e

    u n l i k el y

    to exist.

    I t

    appears

    from

    Fig. 5 th at a n ear-l in ear relat ion sh ip ex is ts

    b etween th e p ressu rera tio deter iorationan d th e in gested du st

    mass.T h isresultsupportsthe observation m a d eduring earlier

    tests on electrical scavenge blowers

    3

    that blower performance

    and blower erosion ar e directly related. A lso, th e correlation

    given by Eq. (3) can be

    readily

    applied to

    provide

    measures

    of

    p ower deteriorat ion for th e Turmo I V B engine as

    given

    by Eqs. ( 4) an d

    (5) .

    T he data in

    F i g .

    5

    give

    th e

    steady-state

    rate of loss of engine p o w e r

    with

    dust mass fed to the engine

    fo r th e

    case

    of no

    dust

    filtration as

    well

    as wh en filtration w as

    used.

    T he

    influence

    of particle size

    d is trib u tion s

    on engine power

    deteriorat ion

    can b e isolated b y

    p lot t in g

    th e

    deter iorations

    as

    f u n ct i on s

    of the ingested dust mass as shown in Fig. 6 rather

    than dust mass fed as given by

    Fig.

    5.

    T h e r e f o r e ,

    th e

    erosion

    rates represented

    by the

    slopes

    of the

    curves

    in

    Fig.

    6 is the

    result of the di f f er en t du st d is t r ibut io ns used and

    sh ou ld

    b e

    correlated to the

    respective

    effective

    particle sizes <

    ef f

    [Eqs.

    (5 )

    an d

    (6)].

    T he

    erosion rates represented

    by the

    slopes

    of

    th e

    curv es

    in F i g . 5,

    h o w e v e r ,

    includes the

    variat ion s

    in the

    respective mass-based filtration efficiencies

    of the

    systems used,

    and hav ebeen includ ed in the fi l trat ion

    sy stem p erforman ce

    correlat ion s givenbyEqs. (7-10).

    Sincethe

    enginepower loss, ingested

    dust

    particle size

    dis-

    t r ibut io ns , and ingested

    dust

    mass is

    k n o w n

    fo r

    both cases,

    the constant k can be calculated. T h i s

    constant

    is d e p e n d e n t

    on the en gin e

    characteristics

    as

    well

    as

    some dust

    properties

    th at

    are all

    assumed

    to be

    constant

    for a

    specific engine

    an d

    dust

    t y p e . In this analysisprocedure, which is

    d e m o n s t r a t ed

    in

    T a b l e

    1, the

    percentage

    mass

    fractions fo r

    each particle-

    size band

    obtained

    from

    Fig.

    1

    (columns

    2 and 5 in

    T a b le

    1)

    is m ult ipl ied

    by the total

    mass

    of

    ingested

    dust to

    d e t e r m i n e

    the massof particles in

    each

    band ( colu mn s3 and 6 inTable

    1) . Th e p art icle mass an d s ize p er b an d are

    t h e n

    m ult ipl ied

    ( c o l u m n s

    4 and 7). S u m m a t i o n of the M , , t e r m s in Eq. (5)

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    4/6

    VAN

    DER

    WALT

    AN D

    NURICK:

    DUST-FILTERED

    HELICOPTER

    ENGINESPARTII

    Table

    1 Derivation

    procedure

    of the

    proposedeffective particle

    s izeEq. (5)

    A v e r a g e

    particle

    size in

    S A E

    coarse reference

    D on a l ds on

    through-flow

    mass fed M = 0.8 kg

    Effi ci ency r/

    m a ss

    = 0 %

    Mass ingested

    = 0.8 kg

    Total mass fed M = 9 1 . 6 k g

    Effi ci ency

    r/

    m a s s

    = 95.0%

    .- .

    Mass

    ingested = 4.58 kg

    b a n d ,

    //-m

    (0,)

    0.32

    0.72

    0.90

    1.15

    1.45

    1.80

    2.30

    2.90

    3.60

    4.55

    5.75

    7.20

    9.00

    11.50

    14.50

    18.00

    22.75

    28.75

    36.25

    45.25

    57.00

    72.50

    91.50

    116.00

    155.00

    2:

    A W :

    kV

    a

    :

    ^ o f t -

    Percent in

    b a n d ,

    /,()

    x 100

    12.1

    14.7

    11.0

    10.0

    10.2

    7.1

    4 .4

    4.2

    3.1

    3.3

    3.8

    1.6

    1.9

    1.9

    1.8

    1.5

    1.5

    1.3

    1.3

    0. 9

    0. 6

    0.3

    0. 1

    0.01

    100.0

    ( P ercen t init ia l

    ( A W / 2 AW,-)

    (2 AW,-/2

    M,.)

    Mass per

    b a n d ,

    M,

    0.5548

    0.6742

    0.5060

    0.4622

    0.4716

    0.3262

    0.2041

    0.1964

    0.1431

    0.1531

    0.1747

    0.0776

    0.0898

    0.0887

    0.0854

    0.0732

    0.0721

    0.0621

    0.0632

    0.0443

    0.0316

    0.0177

    0.0061

    0.0004

    4.5800

    p owe r

    loss)

    A W

    0.1775

    0.4854

    0.4554

    0.5315

    0.6838

    0.5872

    0.4696

    0.5696

    0.5153

    0.6968

    1.0050

    0.5593

    0.8090

    1.0209

    1.2390

    .3183

    .6410

    .7866

    .2930

    .0086

    .8027

    .2873

    0.5584

    0.0579

    22.560

    -3.271

    -0.145

    4.926

    is obtained by the summation of columns 4 and 7. Since the

    en gin e

    p o w e r

    deteriorat ion is known, Eq. (5) can be

    applied

    to

    d e t e r m i n e

    th e

    factor kV

    a

    . < / >

    e f f

    ca n then be

    calculated

    as

    th e total M is also k n o w n .

    A p p l i c a t i o n of Eq. (6) ra ther t h a n Eq. (5) results in a sim-

    plif ied

    analys is ,

    since

    th e

    f u n ct i on

    representing

    th e

    mass

    frac-

    tion

    of the particle-size distribution can be

    integrated direct ly ,

    an d

    therefore, no calculation of actualmassesforeach particle

    size band is n e e d e d . I n

    fact,

    if the

    function

    representing

    th e

    particle size distribution

    is known, no

    calculation using

    dis-

    crete particle size

    b a n d s is

    n e e d e d ,

    as the

    function

    is

    merely

    integrated.T h i s

    simplified analysis

    procedurei sdemonstrated

    in T a b l e 2 . T h e particle size distributions represented by Fig.

    1 are

    tabled

    in the

    first ,

    second, an d

    fou rth

    columns

    in

    Table

    2.

    It should be noted that in this

    case,

    th e

    s u m m a t i o n

    of the

    ra,$,

    terms directly results in <

    e f f

    .

    Since the through-flow effective

    particle

    size for the D o n -

    aldson

    vortex

    tubes , as

    well

    as its

    mass-based filtration

    effi-

    ciency

    is known, the

    erosion

    reduct ion

    factor i7

    erosion

    can be

    calculated

    by m e a n s of Eq.

    (8).

    U sing

    u n fi l tered

    S A E

    coarse

    test dust as the reference, the erosion reduction factor is

    given

    by

    E r o s i o n =

    [38.74/(l

    - 0.95)4.93] = 157

    U

    Physically, this result

    provides

    a direct

    measure

    of theero-

    sion reduction

    ( a n d , t h u s , life

    i m p r o v e m e n t ) b r o u g h t

    a b o u t

    by

    the vortex

    t u b e

    filtration

    system. The engine would

    take

    157 times as long to

    reach

    the same level of

    deterioration

    as

    an unfiltered

    engine

    at the same

    operating conditions

    an d

    ingesting

    the same

    q u an ti ty

    o f S A E

    coarse dust . A vailable

    data in dicates

    t h a t

    an

    i m p r o v e m e n t

    in en gin e life of thisorder

    in d us ty e n v i r o n m e n t s

    is

    feas ible .

    A l t h o u g hAPME

    4

    o nly

    claimed

    en gin e life

    i m p r o v e m e n t s

    of b e t w e e n

    10-26 times, it is i m p o r t a n t to

    bear

    in min d t h a t

    engine

    erosionwill

    vary with du st

    t y p e ,

    composition,filtration

    efficiency, as

    well

    as the particle

    size distribution

    of the

    th rou gh -

    flow stream ( the du st

    p assin g th rou gh

    th e

    filters

    into th e en -

    g i n e ) .

    F u r t h e rm o r e ,

    fi l trat ion efficiencies

    o ffilter sy stemsm ay

    vary with du st

    concentra tions fo r e x t r e m ecases.

    Discussions

    on

    Proposed Helicopter Engine

    Erosion Correlations

    T he filtration systemtestresults andassessment conclusions

    ar e given in T a b l e 3.

    Comparisons

    Between

    th e Effective and Mass Mean Particle

    Sizes

    T he first important observat ion

    fromTable

    3 is the signif-

    icant

    difference

    between

    the calculated

    $

    eff

    and the

    mass mean

    particle sizes

    < / >

    m a s s

    m e a n

    .

    It is

    also

    significant

    that

    th e effective

    particle sizes for the thro ugh-flo w

    streams

    are ap p rox imately

    4

    t imes

    larger than themass mea n particle sizes, whe reasthose

    fo r

    u n f i l t er ed

    S A E coarse are q u i te

    similar.

    This observation

    can be explained in

    t e r m s

    of the di f f er en t size distributions

    as

    in dicated

    inFig.

    1.Since

    the larger

    portion

    o f S A E coarse

    dust is centered around the larger particle sizes(30-50^m),

    the mass

    m e a n

    an d effective

    particle

    sizes are not all that

    different.

    However,

    since the largest

    portion

    of the

    Donaldson through-

    flow

    s t ream is centered aroun d the

    smaller

    particle sizes

    (0.2-

    1 / L t m ) , the small fraction largerparticles

    significantly

    influ-

    ences

    the calculated effective

    particle size,

    wh ich is not the

    case for the calculation of the

    mass

    mean particle size.

    This

    demonstratest he relevance of the

    effective

    particle sizein the

    analysis.

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    116

    VAN DER WALT ANDNURICK: DUST-FILTERED HELICOPTER ENGINESPARTII

    Table 2 Improved derivation

    procedure

    of theproposed effective particle

    s izeEq.

    (6 )

    S A E c o a r s e

    referen ce

    D on a l ds on

    through-flow

    Average

    T o t a l mass

    fe d

    M

    =

    Efficiency T /

    mass

    =

    .

    .- .

    Mass ingested

    =

    nartrrle

    6

    size

    in b an d , F ract i on in

    ( J i m

    M

    0.32

    0.72

    0.90

    1.15

    1.45

    1.80

    2.30

    2.90

    3.60

    4.55

    5.75

    7.20

    9.00

    11.50

    14.50

    18.00

    22.75

    28.75

    36.25

    45.25

    57.00

    72.50

    91.50

    116.00

    155.00

    y .

    f a f f -

    W:

    W .

    b a n d ,

    m,=/,(*)

    0.005

    0.007

    0.006

    0.007

    0.010

    0.010

    0.010

    0.015

    0.015

    0.020

    0.035

    0.035

    0.045

    0.050

    0.055

    0.055

    0.065

    0.070

    0.095

    0.100

    0.095

    0.080

    0.055

    0.045

    0.015

    1.0

    (S 771,4,.)

    (% I n i t i a l p owe r )

    [ ( & W / M ) /f a f f]

    T ab l e3 S u m m a r yof filtration test results and proposed erosion

    related filtration

    performance

    F i l t r a t i o n p e r f o r m a n c e

    p a r a m e t e r

    1. Mass-based f i l t r a t i o n

    effic iency

    T /

    m

    .

    lss

    ,

    E q . ( 2 )

    2. Mass mean

    particle

    size < / >

    m a s s

    m c a n

    3. Effect i v e

    particle

    size

    f a f

    f

    ,

    T a b l e s

    1 and 2

    4. E x p er i men t al erosion

    r a t e

    dW/dM ,

    Eq. (6)

    (slopes

    in

    Fig. 6

    based

    on dust mass

    i n g e s t e d )

    5.

    C al cu l at ed ero si o n

    rate

    dW/dM, E q . ( 6 )

    (based

    on dust mass ingested)

    6. E x p e r i m e n t a l erosion

    r a t e dW/dM , Eq. (9)

    slopes

    in Fig.

    5

    based on

    dust

    mass

    fed)

    7.

    Calculated erosion rate

    dW/dM ,

    Eq. (9)

    (based

    on

    dust mass fed)

    8 .

    E ro si o n

    reduction factor

    T /

    c ro sio n

    ,

    Eq. (8)

    9 . R e l a t i v e erosion rat e

    dWi/BW

    2

    , Eq. (10)

    \Eq. (5)

    C

    and

    assessmentmethodology

    D o n a l d s o n Unfi l tered

    through-flow

    S A E

    coarse

    95

    0

    1.21

    30

    4.93

    38.737

    -0.733 -5.367

    -0.714

    -5.423

    -0.0351 -5.367

    -0.0357

    -5.423

    157 1

    1 157

    -0.145 -0.140

    -0.590

    -0.181

    0.8 kg

    T o t a l mass

    fe d

    M = 91.6

    kg

    0 %

    Effi ci ency

    r/

    m a s s

    =

    95.0%

    0.8 kg .- . Mass ingested =

    4.58

    kg

    Fract ion in

    b a n d ,

    m, ,.

    m f

    =

    /

    2

    ((/>)

    771,4,.

    0.0016

    0.1211

    0.0387

    0.0050 0.1472 0.1060

    0.0054

    0.1104 0.0994

    0.0080

    0.1009 0.1160

    0.0145

    0.1029

    0.1493

    0.0180 0.0712 0.1282

    0.0230

    0.0445 0.1025

    0.0435

    0.0428 0.1243

    0.0540 0.0312

    0.1125

    0.0910 0.0334

    0.1521

    0.2012 0.0381 0.2194

    0.2520 0.0169

    0.1221

    0.4050 0.0196

    0.1766

    0.5750 0.0193 0.2229

    0.7975 0.0186

    0.2705

    0.9900 0.0159

    0.2878

    1.4787 0.0157

    0.3583

    2.0125

    0.0135

    0.3901

    3.4437 0.0138 0.5006

    4.5250 0.0096 0.4385

    5.4150 0.0069 0.3936

    5.8000 0.0038 0.2810

    5.0325 0.0013

    0.1219

    5.2200

    0.0001

    0.0126

    o 3050

    38.737

    1.0

    4.9258

    38.737

    (2 m,4,.) 4.9258

    -4.328 (% I n i t i a l p o w e r )

    -3.271

    -0.140 [ ( b W / M ) /f a f f ] -0.145

    I n i t i a l

    Engine Power [ ] Pressure Ratio

    P2/P1

    102r

    -

    i

    5.32

    ^ ^v. D

    %

    I n i t i a l Power

    100\

    ^

    X

    *

    n i t ia lPower 5

    '

    3

    ^^

    +

    Pressure

    R a t i o

    P2/P1

    H

    -5.28

    98

    NO

    F I L T R A T I O N^\

    \(SLOPE=-5.367) >\ - 5 26

    2 S -

    ^v x \ ^\FILTRATIONON

    96 ^^ ~-__

    x

    ^

    ^^ -* ^ -5.24

    F I L T R A T I O NON~^^_ ~

    94

    ( S L O P E =

    -0.733)

    - -5.22

    92

    5.2

    0 1 2 3 4 5

    D u s t Mass Ingested [kg]

    T U R M O

    IV BE N G I N E A ir

    D e n s i t y

    - 1 .0

    kg/m

    3

    Fig. 6 Steady-state

    engine power

    and pressure ratio deterioration

    rates as

    functions

    ofdust

    mass

    ingested for

    tests

    with an d w i t h o u t a

    filtration

    system

    (95%

    efficient

    by mass) on a

    Turmo

    IV B

    engine.

    Experimental Investigations on a

    Turbomeca Turmo

    I V B

    T u r b o s h a f t

    Engine

    T h e

    ex p erimen tal lyd e t e r m i n e d erosion rates,wh ich

    are the

    slopesof the

    en gin e

    power deterioration

    curves

    i n

    Fig.

    6

    [refer

    to Eq. (6)],

    shows

    the isolated effect of particle size on the

    engine

    erosion

    for the different

    particle

    size

    distr ibutions

    in -

    gested. T h e s e

    gradients can now be used to

    verify

    the engine

    erosion correlations

    established in the

    previous

    sections.

    Since engine

    p o w e r

    deteriorated linearly

    (during,the steady

    phase) with ingested mass

    of

    du st

    fo r

    both

    tests, th e obser-

    vation

    m a d e

    earl ier

    t h a t

    over th e

    range

    of testscarried

    out,

    en g i n e

    erosion

    is

    p r o p o r t i o n a l

    to th e in gested mass of du st ,

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    VAN DER WALT ANDNURICK: DUST-FILTERED HELICOPTER ENGINESPARTII

    117

    is

    co nfi rm ed . T h e

    e x p e r i m e n t s

    on the axial scaven ge b lowers

    also

    con firmed

    thisconclusion.

    3

    Th e con clu sion

    d r a w n ear l ier that

    th e

    erosion

    rate of an

    engine is e q u a l to theproduct of an en gin e con stan t k, c /> an d

    V

    a

    [Eqs. ( 3) an d(4)], together wi t h th e

    definit ion

    of an ef-

    fective particle size[Eq.

    (5)] ,

    can b e evalu ated us ing th e

    3rd,

    4 t h ,

    and 10th

    r o w s

    in

    Table

    3. The ra t io of

    power

    deter ioration

    rate

    ( erosion

    rate,

    f ou r t h row) , an d th e effective p art icle

    size

    (third

    row), for both th e

    unfiltered

    S A E

    coarse

    dust and the

    D o n a l d s o n th rou gh -flow dust results

    in the

    factor

    kV

    a

    given

    in row 10, and can be seen to be fairly

    constant (for

    these

    experiments

    th e

    engine

    speed was kept constant) .

    A l t h o u g h

    some d us t properties m ay

    i n f l u en ce

    k, itseems from th e ex -

    p e r i m e n t a l

    results

    t h a t

    this

    influence,

    at least for the

    test dusts

    used, is m i n i m a l . It is

    also

    sh own th at p redictederosion rates

    correlated well with th e ex p erimen tal resu l ts ( rows 4 an d 5) .

    T he erosion redu ct ion factor T ?

    crosion

    (row 8)

    includ es

    t he effect

    of

    th e

    filtration system (plotted against

    the dust

    mass fed) ,

    an d w as d efined as the

    ra tio

    of the erosion rates in Eq . ( 8)

    (ro w

    7) and is shown to be ingood agreement with the ex-

    p e r i m e n t a l results (row

    6 and

    Fig.

    5) .

    Particle

    c o n c e n t r a t i o n w a s el im inated from th e erosion

    analysis

    3

    since the concentrations ingested by helicopter en-

    gines

    are ex tremely low. F u r t h e r m o r e ,t h econcentra tions that

    th eTurmo IVB engine ingested

    with

    an d with ou t filtration

    systems varied su b stan t ial ly . Since the proposed erosion cor-

    relations fit the e x p e r i m e n t a ldata well ,this serves as further

    p roof th at

    p art icle con cen trat ion s

    at these lo w

    levels

    do n ot

    influence th eerosion rate.

    A l t h o u g h t h e r e l a ti o n s h i p b e t w e e nerosion in

    t e r m s

    o f mass

    or

    compressor

    b lade

    dimen sion

    a n d p o w e r d e t e r i o r a t i o n w a s

    sufficiently

    estab l ish ed

    fo r

    small

    levels of erosion ,

    3

    th e final

    tests on th e Turmo I V B e n g i n e proved th e

    validity

    of th e

    assumption that th e power

    will

    deteriorate linearly with in -

    gested

    du st

    mass as well as pressure

    ratio

    in the steady-state

    region(Fig. 6) .

    Conclusions

    I n

    th e case of the gas turbine ingesting sparse dust concen-

    trations where particle-on-particle interactions are negligible,

    the loss inp o w e r is

    given

    by the sum of the losses attr ibutable

    to each particle size. The total p o w e r loss is proport ional to

    th e weighted average

    particle

    size, referred to as the

    effective

    particle

    size.

    T he increase in

    life

    of a gas turbine ingesting filtered dust

    m ay

    be

    u n iq u ely expressed

    in

    terms

    of the effective

    particle

    sizes

    of the

    unfi l tered

    and filtered dust s t reams and the

    effi-

    ciency

    of the dust

    fi l ter.

    T he

    redu ction

    of

    p o w e r

    of a gas

    t u r b i n e

    en gin e du e to du st

    erosion is

    p r o p o r t i o n a l

    to the mass of

    du st ingested

    by the

    ga s

    t u r b i n e .

    References

    ' D u f f y ,

    R. J. , et al. , I n t e g r a l E n g i n e Particle Se p a r a t or . V ol u m e

    I I Design G u i d e ,

    General Electr ic

    Co.,

    A ug. 1975.

    2

    V an

    de r

    W al t ,

    J. P.,

    Parameters Governing

    Fi l tered

    Helicopter

    I n t a k e P erfo rman ce, P h . D .

    D i s s e r t a t i on ,

    U n i v . of the Witwaters-

    r a n d ,

    J o h a n n e s b u r g ,

    S o u t h A f r i c a , 1991.

    3

    V an de r W a l t , J. P., and

    N u r i c k ,A.,

    E r o s i o n of Dust Fi l tered

    H e l i c o p t e r T u r b i n e E n g i n e s P ar t I: Basic T h eo ret i cal C o n si d era-

    tions, Journal of Aircraft, Vol.

    32, No. 1,1995, pp . 106-111.

    4

    The C e n t r i s e p Ai r C l e a n e r S ys t em , A i r c r a f t Porous M ed i a

    E u r o p e ,

    Ltd. , a

    division

    of PallCorp., B r o c h u r e 5 0 5 COD/LM/11/

    91 ,

    P o r t s m o u t h , E n g l a n d ,

    U K , 1991,

    PracticalIntake

    Aerodynamic

    Design

    E .L.

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    time,thedis-

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    experience

    ofauthors who have been

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    botha i r f r a m eandengine

    manufacturers.

    Much

    valuable

    data f r o m systematic experimental

    measurementson intakes formissiles,combat

    and

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