naca tn 103 simple formula for estimating airplane ceilings

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  • 7/27/2019 NACA TN 103 Simple Formula for Estimating Airplane Ceilings

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    kATIONALAf 3YW RYXMW17TEE ~FORAERONAUTICS

    .TECHNICALOTES

    NATIONALDVZSORYUMMITTEECR

    .

    .

    . . . ..

    . Ec. 203.

    .SIMPLEIWRMUIAOIZSTIMATINGIRPLA~OEILIIWSO% WalterS.Dtehl,kreau ofAeroatim, U.S.I?.

    .

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    .

    NATIONALDVISORY0MMITEEFORAERWAUTIS.TECENI(3ALOTENOS103.

    . .SIMPLEFORMULAORESTIMATINGIRPLANE2HLINGS-

    ByWalterS.IliehL

    .awQwcY.Theabsoluteeilingfanavezageirplzmesgiventoa,.dose approximationy :.

    H+ 19000 bglo. .3.0000

    where

    and

    %H ~ absoluteeiling,nfeet

    bv 1:pow8r-bgJ u basedonfullloadandnormalBjH.P.

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    ,~.

    .;iorksnaerodynamicsndperformmcetheairplanenderconsiderationoe~

    axenot~atisfaotoryolongasdeparttoofarfromthe

    ., averageinitsch~wacteristicstheformulee,ithoneexception.,

    .1 are no batter=TkisexcqtionisdavelopedyKeaninTeohnischeBerichte-6andisoftheform

    CscLlpCD=H R Cl loglo &y(:) 1){ where1

    .

    H. absoluteellingpropellerfficiency

    absoluteiftcoeffioititabsoluteragcoefficientbonstants.

    .Thechiefcriticismfthisformulaisthatit istoocompli-q catedforextensivese.

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    .

    =J

    .

    .

    -3Aanddetermine-~ropriatealuesoftheconst-ts~ - K= byoaloulationrfromreliableerformamedata.Obviw&lyK maybe arbitrarilyssignednyvaluewhiohwilloausehetermwithinthebraoketsoassumereasonablezlue.Theaverage(H(a isof theorderof1000md itisdesirablelogtermbe aboutunity.

    K== 10000 . . . . . . . . . . . . ~~* ~

    valueofthat the

    . . (3)fulfillshisrequirementndtheformulaaybewritten:

    moooH = K logzo(%) (:)

    K hasbeendeterminedora numberofairplanesfalltypesandisfoundtohavean averagealueofJ9000withindividualaluesrangingrom175tito21000.Inmostoases,however,hevalueisquitedose to29000as-shownyTable1,whiohcontainsfewrepresentativeeterminatiozzsf K.

    In &ythe.ormula

    particularaseforwhiohtheperformsmsesknown,isqui.te-acmureken predictingheeffeotof small

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    .q

    -4-Mtle 1.

    ValueofconstantK ~n.,

    1 H= K log=o

    Airplanes Xl&t%): : K : e=ks. .

    .*

    Jlw.11 -22.6: 5.7,2 9250: 17300DH-4 : 11.20:7.62: 19200: 19800VE-7 : 11.60:7.36: 18900: 19200.MB-3 : 7.00: 8.4 : 25500: 18400M 80 .. 8.80:12.3: 19900: 19500

    l?ieuportIl?ighthawkn:.60: 7.77.:29000: M800FokkerD-VII .. 8.47: g.36 : 25000: 20400Martinsydecout : 7.50: 6.95: 26800: 19000

    N9-H : 18.30: 5.54: 14500: 19500R-9L : 10. $ : 7.10: ~0000: 18500