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T .. .. m An Octm1942 - .. . -, .-L ,, ,!. :. NATIONAL -.— ADVISORY COMMITTEE FOR AERONAUTICS w’Amm!!lim lm?f)m’ ORIGINALLY ISSIED October 1942 as Advance Restricted Report AN lNVESTIGATliON OF AIRCRAFT HEATERS II - PROPERTIES OF GASES By Myron Tribus and L. M. K. Boelter University of California r --- . ,-, . ..- , WASHNGTON . . ..-. -. NACA WARTIME REPORTS are reprints of papers originally Issued tu provide rapid dlst@utkm of advance research results toenauthorised group requiring them for the war eHort. They mre pre- vloualy held under a security statue but are now uncbaesifled. Some of these rqxmte were not tech- nically edited. All have been reproduced without change In order to expedite general diatributlon. w-9 https://ntrs.nasa.gov/search.jsp?R=19930092962 2018-05-24T19:50:54+00:00Z
Transcript
Page 1: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

T.. ..

m

—- -.-— --—. —

An Octm1942

- . . . -,

.-L

,,

,!.

:. NATIONAL

-.—

ADVISORY COMMITTEE FOR AERONAUTICS

w’Amm!!lim lm?f)m’ORIGINALLY ISSIED

October 1942 asAdvance Restricted Report

AN lNVESTIGATliON OF AIRCRAFT HEATERS

II - PROPERTIES OF GASES

By Myron Tribus and L. M. K. BoelterUniversity of California

r --- .,-, . ..-

,

WASHNGTON .. ..-. -.

NACA WARTIME REPORTS are reprints of papers originally Issued tu provide rapid dlst@utkm ofadvance research results toenauthorisedgroup requiring them for the war eHort. They mre pre-vloualy held under a security statue but are now uncbaesifled. Some of these rqxmte were not tech-nically edited. All have been reproduced without change In order to expedite general diatributlon.

w-9

https://ntrs.nasa.gov/search.jsp?R=19930092962 2018-05-24T19:50:54+00:00Z

Page 2: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

l!UTICt?ULAIJVImY CCUITTME

Aromas RmQmTim

AN IMVZSTIUTIOMW ‘MRWT” ~8

II - RE@ERTIXS OY GA-

BY mm zribusand& K Is.Boelter

A list of properties of the following pure ~ses andalr uhioh are pertinent to airplane heat trantier OaMila-tions hafdbees qiled from the literature for the temper-ature range encountered In drplaae operatim

Air

Eydrogen

ll$itrogen

w&-

krbon Uoxide ‘

Carbon monoaide

The prup-ertiesof e-ust eses of -lou~ oonrpositlonearenot available to the authore, but it is suggested that theproperties of txtrbe utilized for exhaust es calculationsuntil more exaot data are made available~

The reader must be oautiomd that when uttlizlng gexi-eralisedheat tranafer mquations or their gzamhloal mun-terpart, the phydoal properties whioh were employed by theeqerimenter must be mabetituted into the generalised -preesione In order that the prqper ~tude of the un3tconduotanoe till reeulh

Sn43aGs

~ unit heat orgaoity at

Cv Un$t heat Oqyxolty at

fk

‘atio ‘f ~ - 3-

constant .pretaeure,Btq/lb 9

oomtantVOIWM,13tu/lb~

g q ft/hr mee

— —. —

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~vltaticmal for& per unit mass, ~

thermal Conduotitity, Btu

%?()brft2-ft

tesprature (abs..),%

absolute vlsooslty, lb seo/ft2

p C$ioo g)hadtl modulus,--~

k

ratio, k

(%?’5

v q3600 d

The datapreseatedherein represent 4he work of manyexperimenters.

The values for specific heats were taken direotlyfrom &eck (reference 1) and converted to the engineeringstem of unit% The original work of Eeok extends fkom

%1 ~ to ~l+oo F and 1E probably the best obtainable. Itis based ~cn ~ectmo scopic measurementso

Williams (reference 2) has shown that, if Sutherlandts

fequations (re erence 3) for the viscosity of a -S holde,a plot of T3#2/w against T ehmld give a strcight line.When such plots were ccndmuoted, it was found that all thegaBoe except 4*ogen yielded r &t liaes. Pom hydrogen

$)37it ma found that the ratio Y u was oonstnnt withinthe auouraoy

$’the experimental reculte. Using the eqpa-

tlon u = (JT 3 for hydrogen, and

P T3’2 fm the other~eee, excellent~eement was= c ~.—T+C2

obtnined between tho calculated vcaues cnd the measuredVzilueaof the viscosity. In the ~se of r&rbon dioxidennd oxygen, the detentions from oxporinental vnlues werenenrly mll less thnn 1 percentO

In centraet with the dntn for unit heat oapecity and

Page 4: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

3

vlscosity, thereis a -pauoity of aoourat e data on thermalconduotivities of gases. Lsby and Wlson (referenoe 4)found among19 obe8rvers an average devlaticm of 7 percent

. . -. h-the values reported.-for. the. thez%d oonduotitity of alrat 320 S. The data for other 4W3SSare less plentlful.Only three meaeuraments of the thermal conduotivlty ofoarbon momoxtde were found, all mm 320 I’.

In modern englneerhg praotlce, however, it is oftendeelred to knw thermal conduotitites at ttmqeratures othert- 3203’. 14ither than make an outright

res,thefollou-

1~ theoretloal relathnshlp was utillsed reference 5);

ham the measured values of k, Y, - % mussof f were calculated and plotted a@nst tcmyrature. Ifa definitevariationIn f as a functionof T wuld befound,sucha variationvas used as a bas%s for predictingk at temperatures at whloh it has aot been measured, usingthe measured values of tl - ~ Suoh a method ie sub-ject to many errors, oWmusly, but it was the beet thatcould be detised, 5e results me unsatisfactory, but untila better soheme Is devised or more data are presented, t-will have to serve as the basis for high temperature oal-otilatioae. The tabtiatad values of thermal oonduotlvitleaare based on the derived equations.

The probable errors are lxzsedon the average devlatlonof eqerlmental. result e from the ‘best Ourvee” Ineuohaease as k for CO, _ent. based on three measuredvalues at 32° ~ oan hardly be considered more than a guesewhen applied to values at 1000° F.

These properties are 021 Indqendent of pressure In thernnge We atmospheres down to 5 millimeters of mercury.6hwn belw are the temporature rraggs for uhioh ~er~mentnldata were avnllaiole,and the taqeratures for tioh ,mrtainproperties mm oxtr~olated CS disouseed above.

Grateful aoImotie@mnt is due Messrs. M. B. Weinbergand & Y. Brooksolraidtfor their help in pr~ing the report.

University of California,Berkeley, Calif.

—. —— .— — .—

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4

mImwrmR-RAma a’ EmmmmAL iu!u

I

G&M

.—.—.

Heat ~acity (CJvi0c08ityThormolLeonductitity

HJdrogenI&3tatcapacity (~)Ti8cosityl?hermalconductivity

l?itrogenHeat CqxLcity (~)Vlacoaity

The17nnl conductivity

krbon diosldoHeat capacity (~)’Viacoeity!Plxmml condw+lvity

CFxi)on monoxidoSeat Cqmcity ( CJvi EmCsit ymM3mnal Conauctivit y

Rrmge in Wch

‘- I- in Wti

data are available ~00 sedrspcUtd

(dw * (Mm...---- ... ...”.-. .— ------ ..—

(CalcuQtod frca 02 and ~2 VdWS)-log tQ 1600 -

-109 to 590

-1oo to 4guo-113 to 15179113 to 6(M

A(XI to ‘4g40-M to 1516-1OG to 212

-1oo to qU35g to 1524

-1C9 to 2X?

-1oo to Ww3il to 1600

.lg to %2

-1oo to %%2-109 to 53032to 51

590 to 1600

.

6(X to 1600

.—

21.2to 1600

-lW to 59212 to 1600

-100 to 3Q602 to 1600

Page 6: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

5

BmmmmEs

N ..—.

1. Heok, Robert 0. %Z The Wv kpe&f~& H&t e,’ “Me-o& “x., vol. 62, Jnn, 1940, -. s2; vol.63. ~eb.

Y1941, ~. 126-135 (Addenda .

2. Williams, Y. A.: Proc. Boy. Soo., London, JKtlo, 1926,. p. 14L

3. mtbrma mu. W., va. 36, l@3, P. 5q7.

4. Lam M IMeom Im, v =3. ,

5S ~Oeh Leo- BOX x~netie ~eor~ Of ~em. U@rawHill Book Co,, Tnc., 19?, p. 215.

31BLIOGW?HY

Conduotltity

Archer: k for ~20 Phil. ~ , vol.19, ~. 901-918.

Amhor: ~eriqental Values of k. Proc. Roy. Soo.,&65, pp. 474-41350

Berg, IL H,: D’WLExhaust Gas Analyzer for Internal Com-bustion Enginoe. Automobiltechnisoke Zeltscbr. , vol.41, no. 17, %pt. 10, 1938, p. 4550

BoIlti ~d Moltillo: Nature, vol. 1~, p. 63.

llnako@ A Mathemntio4 Treatmeat of k. &klv. Mat.Atatron.wsik, vd. 16, pp. M.

Mokeu Mwunmmients of k. Physiko Zeitea=, VG 14sma 32L3620

Euoken: k for VariW Mses. Physi& Zolteohr.. vol.13, ~. 11014107.

0 &ro~~ I$zportmontnlV~uos of k. Proc. Roy, SOG.,&@, ~. 35-56.

.

.—

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6

Gregory and Asohor: *erimentXl Determination of &ml. W+& , vol. 15, 1933, mm. 3ol-309w

@egq and Arohor: Experimental 3etormlnatiozi ef k.moo. my. Sect.,, AIZL , pp. =5-293.

Gregory and Do& Review. Phil.~, vol. 25, pp. 12%147.

Gre~ and MmehaUZ Proc. ROY. Sot., 11~, pp. 354-366,

Gregory and J&shall: Experimental Values of k. %OC.my. Sot., Al18 , ppD 594-607s .

GnuIa and &hmioIG SiemenS Honz., vol. 7, pp. 202-224.

_Mndlhofer: !ChermclConduotitity. Ann@ Physik, vol. 37,pp. 247-256; VO1.%, pp. 259-=2, 1914.

=dererM ~edMntti hsdt s Of MoCsWemont S of k.PhYA w., VOL 15, 1920, pp. 4G570

Harems nnd La- Measurementsof k, Phil. B@., VO1O 3(7) s PP. 106LJO6%

Ibbss Review. Phil. Msg., vo1. 21, pF. 5M-509.

Ibbs and Hirst: !l?heoroticnlCmsidorations@f the Valuesof k, proc. Roy. Sot., A123 , pp. 13L1420

lkuniLuIok and Martin: I!hyorimontolDet~tion of k.Proc. Roy. SOC.,Al~, PP. 496-513.

EmldSJm Ann. PhYdk, vol. 34, pp. 593-656.

Ldrx Emdew of Datn on

Bulmrt m RxporimontLa17, pp. 397-422.

Mothdurftn ~orimontcl=, FP. 137-156.

k. Uature, 1~, p. 741. “

EiosultS of k. Phil. kg. , vol.

values of 1% Ann. Pmik, V@lo

- .— . -. . ., -.,, --- —., . —.- ,-. ., , ,,. , . ......— . .

Page 8: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

7

Pollodc,J. A.: k for Gmes. Pro% Roy. Sot., Eeu SouthWaea, tidl.49, ~. 24~252: Review, Vol.53, m.- 116-119.

“-at -d Griffithsi:kview and Eqmrimentsilht% Phil.Mcbg,, vol. 27, pp. WE.

Soday EuldIJorqn k for Gnsoe. Proc. Roy. Sot., vol. g3 ,pp. 2$juK4: Volo lJ4, pp. 576-X5,

ShIlciluohowsldThoorotioal consMerQtion of h Ann,Physik,vol. 35, pp. gg>loo4; Review, Phil. Ma& , vol.=, (6) , pp. 11+.

l!ow Ikperimental l’bmuramnt s of k. Proc. Roy. Soo.,V&l. g3, ppa 19-390

Traut z: Physikregelmass. Ber. 6, pp. 16~0. A %tiew.204, Referoncos.

bxuts and ZWlelt - Physik, vol. 17, 1933, pp. 345-375.

Uehling and Uhlonbeola Theoretical Considerations of &PWS. Rev., vol. 43, 1933, pp. 55%561.

Weber: ~orlnental Determination of k. Ann. Ph.ystk, vol.g2, pp. 479-503. ~orimental Eosults of %asuramnte ofk; VO1. 54, mm 3259-326. 437*2. ~HO%

VI Scosity

kam(w &m. Ph@k, vol.2, 19290

BiEkolos Ann. Physik, vol. 2, 19296

Boomond3 , Pierro# Ccqtes &dus, vol. 196, 1933, ~.l~72Pl~7b.

Majrimdar and V@fdarl J. Univ. Bombay, VO1. 7; pt. 3.

Earat& Ann Physik, VO1O2, 19290 . . .

Stcauf: Ann Pbysik, +01. 2, 1929-

k —

Page 9: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

8

ten Botd.1,

&aut z nnd

!&nutz and

Trautz andcoOitye

Trautz nnd

TrCutz aEd

Trautz and

tiautZ and

Trautz and

24.a Whmotihortragung, 3L od. , p.. 257.

BEN! Ann Pbysik,vol. 2, 1929, P* 7330

BiIMIIOZ b Pwdk, VO1. 5, 1930, P. 561.

Kuns: Review of Protious Experiments on Vi*A?.?PhyBik, vol. 9, 1931, Pps W-MJ30

Ludowigs? Ann. Pllysik,ml. 2, 1%9, PO 733*

Sor~ AnrL. Physik, vol. 10, 1931, ~. 61-96.

stati: h. PhYsik, VO1. 2, 1929.

Weizel: Ann. Ph@k, VO1- 7g, 1925, P= 305.

Zin!G h. Physik, vol. 7, (5), 1930s PPm427-452.

Williams, F. A.: Proc. ROY. Sot., London, &lO, 1926,p. 165.

Page 10: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

9

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t

(de& ~

-1oo

0

100

300

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700

Kxl

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1400

lm

1600——

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(Btu/lb w

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Page 11: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

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.,------ .-. t

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Page 12: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

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Page 13: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

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13

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Page 16: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

1-– ‘-–—–-”- – ‘-–-– ‘“-– ‘-- - ‘----–”

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Page 17: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

I

2s0

SW

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r I I I I I I 1 I I ! ! I I !J

k~a~ /111111111111111

I /

FIG. I TCWERATURC, dcsrom f

\,\ I

FIG. 2 TEMPERATURE, -on F 9N

Page 18: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

THERMAL CONDUCTIVITY OF AIR =30

%*

;25m+!

#lgx

1-~-

N=20

1

*-~>cg Isozo

4ElE

10

WIl-.

(7J

5●

o -1oo 0 100 200 300 400 Soo 600 700 ~FIG, 3 TEMPERATURE, *WOOS F FIG. 4 TEMPERATURE, doQrooo F

4 “b

Page 19: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

85

ea

70

65

60

I

m 400 600FIG. 6°

600 1000 1200 1400 IcmTEWERATURE, do~rocc F

“m

Page 20: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

-2000 m0400600600 1000120014001600FIG. 7 TEMPERATURE, “F

VISCOSITY OF HYDROOEN z0.35 ‘ ,>

, *

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1 I 1

I

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FIG. 8600 +

TEMPERATURE, =F “m

Page 21: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

.

I

VISCOSITY OF HYDROGEN

700 mo 600 1000 1100 1200 1300 1400 1600 1600FIG. 9 TEMPERATURE, ‘F FIG. 10 TEMPERATURE, ‘F --

0

Page 22: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

THERMAL CONDUCTIVITY OF HYDROGEN

I

to

1,

‘k) ~ 900 1000 1100 QOO 1300 1400 1500 1600

.290HEAT CAPACITY OF NITROGEN

1 I I 111111 1 Ill 1I I I I I I I I I I I I I I I I I I I I t’

I 1 1 1 1 1 1 1 1 1 1 1 1 1 [ w 1 I 1 1 1 1 I 1 I I 1 I 1 I 1 1 1

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FIG. II TEWKRATU?E, ‘F FIG.12 TEMPERATURE, ‘FK

Page 23: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

HEAT CAPACITY OF OXYGEN

-200 0 200 400 6W Km = 1200 1400 160

FiG. 13 TEMPERATURE, ●F

z

%*

q

&j’●

10 -200 -1oo 0 100 200 300 400 600 600 700.FFIG. K Temperature ‘F +

9

Page 24: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

m

i

VISCOSITY OF NITROGEN ~ OXYGEN

700 600 900 1000 1100 1200 1300 1400 1500 1600

FIG. 15 TEMPERATURE, “F FIG. /6 TEMPERATURE , ‘F z

Page 25: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

THERMAL CONDUCTIVITY OF 02 AND N2

0.60

~

x .~~

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A

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AE ho “

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0.30 (/ I I

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orobdo crrwm5~

700 800 1000 1200 1400 1600

FIG. 17 TEMPERATURE, ”F

Page 26: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

-200-000 100 200 300 400 500 600 700Fle 19 TEMPERATURE, “F

~

g

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700 600 900 1000 1100 1200 1300 1400 1600 moo%

FIG. 20 TEMPERATURE, “F “wo

Page 27: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

o

FIG. 21 TEMPERATURE, ●F

:

n*

:

OQu●

700 80,0 1000 1200 1400 laoo”~ru

FIG. 22 TEMPERATURE, ”F /’4

.—

Page 28: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

1=m.

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-30 0 200 400 600 800 1000FIG. 23 TEMPERATURE, “F FIG. 24 TEMPERATURE, ‘F E

Page 29: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

.-.700 GOO 900 1000 100 1200 1300 1400 1500 1600FIG. 25 TEMPERATURE, ‘F

ElilPRANDTL’S MODULUS

FOR H2 , C02 , 02, CO, 8

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FIG. 26 TEMPERATURE, “F&’

Page 30: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

.—. .—... — ,

Page 31: w’Amm!!lim lm?f)m’ - NASA · PDF filew’Amm!!lim lm?f)m ... In the ~se of r&rbondioxide nnd oxygen, the detentionsfromoxporinental vnlues were nenrlymll less thnn 1 percentO

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