Page 190 - konishipaper

ror are defined as (N
20 20 20
15宕 15官 15官 10E 10E 10E 5N5N5N
OOO
N l(Z)入R RprC!) ( M a ¥
Fig.1. Inte1'ferogramsbyDWHI. er rors are ca1cu1ated 企 o m Eqs. (5) and (6)，assuming
thatN isconstantandN variesintentionalyac- 12
cordingtothereadingeror.Thisfiguresugeststhat ahighacuracyofreadingthe合ingenumberisre- quiredtodeterminetheconcentrationandtempera- ture profi1es. Since the reading precision in our experimentsis10%atbest(aspecia1reso1utionof 20μmisnecesary)，thelnaximumconcentr叫 ioner- rorisoftheorderof300%，andthetemperatureero1' isaproximate1y40%.Asindicatedin仕出 Subsection， theDWI宜 methodissusceptib1etosmalerorsbecause theG1adstone-Daleconstantsareonlyweakfunctionsof wave1ength. Since the 宜主J.ge dif ference betwe en two beamsisconsiderab1ysmal，itisdificult加 conducta precisemeasurementusingEqs.(5)and(6).
B. InfraredAbsorptionMethod
AsstatedinSection1，theobjectiveofthisworkwasto deve10patechniquethatcombinedaho1og1'aphicin- terferometryandanIRthermographymethodtomea- suretemperatureandconcentrationwithanacuracy superiortothatoftheDWHI.Previous1y，theauthors usedanIR也 ermographtechnique，withanIRbeanl thathadan8-12Iムm spectra1range，tomeasure2D pro五1esofvaporconcentrationsoverliquidfue1s.The liquidfue1formedthevaporconcentration，Pバ，)Z; and thetemperaturedistribution，Tr(P)，overitssurface asshowninFig.4.Ab1ackpaintedcope1'block(with anemisivitygreaterthan0.9)wasusedastheIR sourceandwasassumedtobehaveasanisotherma1
1 1
- 一一一一
臥
T r ( z ) - T o ' L ，M
1KaXIP M白，川lpim1 MfEλ1) (5)
L Tr(z)-To L，M向凡^2PMK2Pげ2Mr"-aA2)，
(6)
OnceN1 andN2 aredeterminedfromtwointerfero- grm~s， tl~e ~eln:Qe!ature TAz)andthedensitypAz) canbeca1cluated.B
Figure1providesatypica1examp1eoftheinterfero- grmnsobtainedforthefuelvaporaboveaquiescent po1ofn-p1'opano1liquidfue1at44oCwiththeorigina1 imageshowninFig.l(a)，theinterferogramproduced usingtheH←Ne1asershowninFig， l(b)，andthe interfer句 ramproducedusingtheargon-ion(Ar-ion) 1aserportionshowninFig.l(c).Figure2showsthe concentrationp1'o五1eobtainedbyEqs.(5)and(6).The 企ingen1lberoftheAr-ion1aservariesintentionaly from9.05to9.25.Thisfigureindicatesthatconcen- trationandtemperatureva1uesaresensitivetosmal changesinfringenumber.Therea1fringenumber andthecorespondingconcentrationvaluearede- notedasNl'ealandPreabrespectively，Inthesameway， thereading企ingenumberandthecoresponding
concentrationvaluearedesignatedbyNreadandP
1 1 N2(Z)AR
一 一一一一
I 'l '1 U
ead， respectively.Thereadingerorandconcentratione1'-
l'
l'
l'叫 - Pl'ead)/Pl'ead'respectively.Figure3showstherela- tionshipbetweentheconcentrationandthetemper-
FringemunberofHe-NelaserN1=7
ω
ι4 .s 2き
¥
/' ~4 .:e ¥凶
¥ I l L0 FringenumberofAr-IonlaserN2
Fig.2. Efectofthe耐 ngenumbersexerted.onthetemperature 国 ldconcentrationchangesinDVi居r.
~
Precisionofreadingforfringenumber.(%)
Fig.3. Relationshipbetwenthereadouter1'orofringenumbers
andtherelativeeroroftemperatureandconcentrationchange. 1August206/Vo.l45，No.2/APPLlEDOPTICS 5727
30'i
9.05 9.10 9.l5 9.20 9.25
2468.2468 0.1- •--1 .-.-10
Rpr(z) ( M日
白，
eal - N )/N
ead antl (P
read atureerorsasaparameterofthereadingeror，The
70 n-propanol Tr=40C
l'
n-propanol
4
(¥)
i2 〆 . / F6 ロ
ミR 6
12g 100
U /μ/h
H
O
10 /ト
tl<
日
ω~ ./k10~
Eω 4イ / ' 仁 : 日
or
出ω 2
~
nu nu 唱『aA
(x-o〉)ロozgHgoロou
n u n U ハU A U 4321
nunuhu
n u n U ハU 654
(凶)出口話回品目。ド