Page 192 - konishipaper

mentsperformedduringthecourseofthisstudy，the concentrationgradientwasinthe5-20vol.%/cm rangeandthetemperaturegradientwasinthe 25-80K/cmrange.Forapathlengthof160m m， 包 6 thetotalerorisestimatedtobe2.8%.Figure6shows theefectofwavelengthforapathlengthof160mm.
任 propanol I一 Geometrcal 入=632.8nmI-. Concentratiol T=40υC 目ー End
Since the ef fect of wavelength on relative er rors wasnegligiblysmal，therelativeerorscausedby
the He-Ne laser and the 1R rays were almost 円，~.."...~~- thesame.Thelnaximumerorfor5vol.%/cm.and -2 25K/cmwasestiI.1atedtobe3.4%. 50
B. InfraredAbsorption
1nEq.(8)，astelnperatureTf(.z)variesnotwiththex cordinate，butwiththezcordinate，Eq.(8)reduces tothefolowingf6rmula:
10 150 200 250 PathlengthL(mm)
' σεωよ，;:Tw
，af仏';:T r
i 一ニ一一一一一一
?づT
.L
'lT σε山てT"，1/4
fa.A
x(μe一，陥pP.
r
，
2a
hf
4 σε4
'lTb 戸 d'
1'=2sx， X=pS，
SX x=一2一τ一rb一'
(17b)
(17c) (17d)
(17e)
R -e一門 川a...UHl
-
、 汗アr 一 ...
泊
、 〆 マT
Equation(13)iscomposeduftwoparts，theabsorp- tiontermandtheemisiontermofthefuel-airvapor.
1nSubsection3.Aweassumedεω glectedtheemisionterminEq.(8)山 lde1' actual conditionsanassumptionsuchasεバ 》 εfa，>:isdu- bious.Moreover，theabso1'ptioncoe伍 cientαfa.;:(T，p) isafunctionofwavelength，temper叫 ure，anddensity
司
l九 (1fa，i-'/1a，;:)-lne(1ra，>:/Id) 1'elativeeror(%)=“ lne(1fa，;:/1a，;:)
ofchemicalspecies.Thereforeaner
wherel' istheopticalthicknes，戸 istheoverlap parameter，X isthepresurepathlength，disthe meanlinespacing，bisthelinehalf-width，Sisthe meanlineintensity，andp isthepartialpresureof fuel vapor. Since the CO band ranging from 8to12μmforliquidn-propanolhasd= 167cm-¥ b 50cm-¥ andS 7.5atmcm-2，wegetl' = 0 . 0 4 9 ， 戸 = 0 .9 4 0 ， X = 1. 0 9 ， a n d x = 0 . 0 2 6 f o r p
0.068atm，whichisequivalenttothesaturated vaporpresureof7レpropanolat40oC.ThereforeEq.
Toranalysisfo1' the1Rabsorptionmethodisindispensablepriorto experIlnents.Theequationgivestherelativeeroras
lne(h〆/1fa，}.) lne(九，-xι/，I)'
(17a)yields
whe1'e1，>:' isthemodifi.edintensityincludingthe fa
efectsofthegas-phaseemisiontermandtheab- sorptioncoefi.cientshift.Therelativeerorsforthe gas-phaseemisiontermandtheabsorptioncoefi- cientshiftarecalculatedindependentlyas.shownin Fig.7.Thebottomaxisindicatesthespectralgas e m i s s i v i t y ， a n d t h e t o p 回 cis s h o w s t h e a b s o r p t i o n coeficientshiftcausedbywavelength，temperature， and density ofchemical species. The absorption bandsforvaporn-propanolareunknown，andliquid n-propanolhasthrebandssuchastheO Hband (3.0μm)，the C H band (3.38，3.47，6.85，7.19μm)， andtheCOband(9.43，9.80，10.3，16.4μm).18Since onlytheCObandisinthetestrangeofourimage system，wemakearoughestimateoftheabsorption
band for CO. Using the Elsas ser model for weak lines，19
ω
imately25%前 Tω=150oCforaliquidtemperature
εfa，~
=1-e-，T'
(17a)
，
~>>εfa
，;:
andne-
(16)
10 ~ 8
1 - Total Gradiel lt
占 4 ω
Tempera
l1
主2 吋
~ 0
一
=--
一
ー
-
~
.-.ー_ー.一.一-.-._._.ー._-_._-_.ー.-. 一←ーョ.・..一ー一ー一司一守.ー.司ー.白-‘-
=
-
-
-
-
-
-
.
ー
-
-
-
-
.
Fig.5. Gladston←Daleconstantsasafunctionofwavelengthfor air，n・propanol，出 ldmethanolatatemperatureof28 8K (Ref.8).
=0.049forthespectralemisivityfor theCObandrangingfrOln8to12μm.Themaximum relativeerorcausedbythegas-phaseemisionterm
8ra，~
wasapp1'oximately15%atT =200oCandaprox- 1
of40oC.Thetemperatureofcoperblacksurfacewas settobeaproximately120oCastherelativeeror causedbythegas-phaseemisionwaswithinapprox伺
。Gradient Tempel'ature) 一-5vol%/cm，25KJcm
・
400 60 800 10 120 Wave1ength(1m)
Fig.6. EITorestimatesforholographicinterferometry;elTores- timatesasafunctionofwavelengthforn-propanol.
1August206/Vo.l45，No.2/APPLlEDOP，TICS 5729
{Co~lcentratioll，.
10vol%/cm，40KJclU -.-20vol%/cm，80KJcm
COlcentratio
一-..-一ー-一..
同
=20vol%/cm re=80KJcm
ζJa 斗 司コ司ノ M (ヌ)Moh凶 ωと苫【ω出