thermal and mechanical properties of nitrogen

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Page 1: Thermal and mechanical properties of nitrogen

General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.

Users may download and print one copy of any publication from the public portal for the purpose of private study or research.

You may not further distribute the material or use it for any profit-making activity or commercial gain

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Downloaded from orbit.dtu.dk on: Jun 12, 2022

Thermal and mechanical properties of nitrogen

Ottosen, P.; Mannov, G.

Publication date:1980

Document VersionPublisher's PDF, also known as Version of record

Link back to DTU Orbit

Citation (APA):Ottosen, P., & Mannov, G. (1980). Thermal and mechanical properties of nitrogen. Risø National Laboratory.Risø-M No. 2230

Page 2: Thermal and mechanical properties of nitrogen

RISØ-M-2230

THERMAL AND MECHANICAL PROPERTIES OF NITROGEN

P. Ottosen and G. Mannov

Department of Reactor Technology

Section of Heat Transfer and Hydraulics

Abstract. Routines for the physical properties of nitrogen liquid

and gas (1 to 6 bar) are presented.

The approximations are polynomials worked out by the least squares

method. The fitted expressions have been compared with exper­

imental data, and the accuracy is about one percent.

INIS descriptors: GASES, LIQUIDS, NITROGEN, POLYNOMIALS, SURFACE

TENSION, THERMODYNAMIC PROPERTIES, VISCOSITY.

UDC 546.17.004.12

June 1980

Risø National Laboratory, DK 4000 Roskilde, Denmark

Page 3: Thermal and mechanical properties of nitrogen

ISBN 87-550-0669-8

ISSN 0418-6435

Risø Repro 1980

Page 4: Thermal and mechanical properties of nitrogen

CONTENTS

Page

1. INTRODOCTION 5

2. APPROXIMATIONS 6

3. REFERENCES 11

4. TABLES 12

5. FIGURES 12

Page 5: Thermal and mechanical properties of nitrogen
Page 6: Thermal and mechanical properties of nitrogen

3

1. INTRODUCTION

In connection with Per Ottosen's experimental work (ref. 6)

some physical properties of nitrogen have been found from dif­

ferent sources (ref. 1, 2, 3 and 4) and the authors of this

report present the results here, expecting that they possibly

might be of interest in other connections.

Most of the approximations are 4th-degree polynomials worked

out by the least squares method by means of an HP-30 programme

(ref. 5). The valid ranges of the approximations and the tables

are seen from the first and the last variable stated in the

table in question.

The accuracy is about one percent.

Page 7: Thermal and mechanical properties of nitrogen

- 6 -

2. APPROXIMATIONS

The following properties are described:

Property

Temperature

Pressure

Latent heat of evaporation

Gas enthalpy

density

- heat capacity

conductivity

- dynamic viscosity

Liquid enthalpy

density

heat capacity

- conductivity

dynamic viscosity

Surface tension

Conven- Symbol Dimen- Table

tional "?ed i n sion no. tne symbol present

report

T T K 1

P P N/m2 2

hlg H L G J / k g 3

h HG J/kg 4 y 3

p RG kg/m 5 g

c CPG J/kgK 6 pg

k KG W/mK 7 g 2

y MYG Ns/m"6 8 g

h. HL J/kg 9

p. RL kg/m 10

c . CPL J/kgK 11

\ l KL W/mK 12

Uj MYL Ns/m2 13

<J S N/m 14 HG has been chosen as independent variable in the approxima­

tions corresponding to Tables 5, 6, 7, 8, and HL has been

chosen as independent variable in the approximations corre­

sponding to Tables 10, 11, 12, 13, 14.

This is due to the original construction of the approximations

in a manner suited to the programme RISQUE-T (ref. 7). T might

be used as independent variable by convenient choice of "sub­

routines" .

In the description below the following operators are used:

AB : AfB

AB : A*B

Page 8: Thermal and mechanical properties of nitrogen

- 7 -

§ : A/B

log1Q: LOG

10n : En

and +, -, =, in their usual notation.

Three different types of functions are used:

f (x, ,x.) : a function described with one or two variables.

g(x) : a 4th-degree polynomial with one variable.

Coefficients AO, Al, A2, A3, M given.

g(x,, Xj): a 4th-degree polynomial with two variables; the

first one (Xj) to find AO, Al, A2, A3, A4; the

last (x_) being variable in the polynomial.

Description:

Table 1: TSAT = f(PSAT). Ref. [ll.

T = (-304.494)/(LOG(P/1.013E5)-3.93352)

Table 2; PSAT = f(TSAT). Ref. [1].

P = 1.013E5 * 10-M3.93352- (304.494/T))

Table 3: HLG = g(PSAT). Ref. [2].

AO = 2.112E5

Al = -1.571E-1

A2 = 3.004E-7

A3 = -3.358E-13

A4 = 1.350E-19

Table 4: HG = g(P,T). Ref. [2],

AO = -0.1129 * P -3.667E2

Al = 1.633E-3 * P +1.054E3

A2 = -0.9327E-5 * P -0.1632

A3 = 0.2385E-7 * P +0.6011E-3

A4 • -0.2271E-10 * P -0.7100E-6

Page 9: Thermal and mechanical properties of nitrogen

- 8 -

RG = f ( P , HG). Ref. [ 2 ] and [ 3 ] .

Al = - 8 . 6 6 8 0 2 2 E - 4

A2 = - 9 . 0 4 0 6 0 1 9 E - 1 0

A3 = - 5 . 7 9 6 7 0 7 9

Bl = 7.9632344E-9

B2 = -3.50343556E-15

B3 = C.285507GS

RG = 1/(A1+A2*P+A3/P+HG*(B1+B2*P+B3/P))

CPG = g ( P , HG). Ref. [ 2 ] .

AO = ( 1 . 4 0 9 + P * ( 4 . 4 9 6 E - 6 + P * ( - 1 . 5 9 1 E - 1 1 + 1 . 7 5 0 E - 1 7 * P ) ) ) * 1 E 3

Al * - 7 . 7 5 4 E - 3 + P * ( - 6 . 3 9 0 E - 8 + P * ( 2 . 7 0 2 E - 1 3 - 3 . 0 4 3 E - 1 9 * P ) )

A2 = ( 5 . 1 7 0 E - 5 + P * ( 2 . 5 9 4 E - l O + P * ( - 1 . 3 4 3 E - 1 5 + 1 . 5 6 9 E - 2 1 * P ) ) ) * l E - 3

A3 = ( - 1 . 0 9 2 E - 7 + P * ( - 2 . 5 2 0 E - 1 3 + P * ( 1 . 8 9 1 E - 1 8 - 2 . 3 4 8 E - 2 4 * P ) ) ) * l E -

A4 = O

KG ( a t 1 bar) = g(HG). Ref. [ 4 l .

AO = 2 . 6 8 8 E - 3

Al = 3 .722E-8

A2 = 4 . 1 1 4 E - 1 3

A3 - - 1 . 4 4 5 E - 1 8

A4 = 1 .644E-24

MYG = g ( P , HG) . Ref. [ 2 ] .

AO = P*6 .403E-12 +5 .457E-7

Al = P * ( - 7 , 6 8 4 E - 1 7 ) +4 .666E-11

A2 = P*3 .486E-22 +2 .557E-16

A3 = P * ( - 5 . 7 0 0 E - 2 8 ) - 1 . 3 8 9 E - 2 1

A4 = P*7 .333E-35 +2 .188E-27

HL * g ( P ) . Ref. [ 2 l .

AO • - 1 . 4 4 8 E 5

Al = 2 . 8 3 6 E - 1

A2 » - 6 . 0 7 6 E - 7

A3 = 6 . 6 8 7 E - 1 3

A4 = - 2 . 6 6 1 E - 1 9

Page 10: Thermal and mechanical properties of nitrogen

- 9

Table 1 0 : RL = g (HL) . Ref. [ 2 ]

A0 = 5 .027E2

Al = - 1 . 9 2 9 E - 3

A2 = 1 . 5 4 8 E - 8

A3 = 1 .185E-13

A4 = 2 . 5 3 8 E - 1 9

Table 1 1 : CPL =

AO =

Al =

A2 =

A3 =

A4 =

g (HL). Ref. [ 2 ]

4 .975E3

7 . 7 9 6 E - 2

7 . 6 6 8 E - 7

3 . 4 2 6 E - 1 2

5 . 8 3 0 E - 1 8

Table 1 2 : KL = g (HL) . Ref . [ 4 ] .

AO = 5 . 5 2 3 E - 2

Al = - 2 . 4 6 9 E - 7

A2 • 4 . 9 8 8 E - 1 2

A3 = , 1 . 1 9 0 E - 1 7

A4 = 0

Table 1 3 : MYL = g (HL) . Ref. [ 2 ]

AO = 1 . 7 3 1 E - 4

Al = 3 . 6 3 3 E - 9

A2 = 4 . 2 1 1 E - 1 4

A3 = 2 . 3 0 0 E - 1 9

A4 = 1.0O3E-24

Table 14 : S = g(HL) . Ref. [ 2 ] .

AO = - 8 . 2 9 5 E - 4

Al = - 4 . 3 7 3 E - 8

A2 = 3 . 3 0 0 E - 1 3

A3 = 2 . 3 7 1 E - 1 9

A4 = 0

Page 11: Thermal and mechanical properties of nitrogen

- 10 -

The approximat.ions are tabulated in Section 4. The temperature T

and pressure P have been preferred as independent variables.

This means that one has to use up to three "subroutines". F.ex.

Table 10, RL:

P is found by inserting T in "subroutine Table 2".

HL - - - P - " - - 9".

RL - - HL - " - - 10".

It should be noted that N« gas can be considered as an ideal

gas for temperatures T > 350K and pressures P <, 10 bar. In this

way Table 5, RG versus P and T, can be extended beyond T = 350K.

The molecular weight is M = 28.016 kg/kmol. The gas constant is

R = 8314.3 J/ K'kmol. We then have the law for an ideal gas:

RG = (P/T)*(M/R) = (P/T)*0.0033696 tkg/m3]

The comparison between the values calculated by the above for­

mula, values calculated by the present approximations and table

values from ref. 2, are shown in the Table below:

N. gas density [kg/nr] at T = 350K

p

bar

1 2

3

4

5

6

7

8

9

10

Calculated by the law of an ideal gas

0.963

1.93

2.89

3.85

4.81

5.78

6.74

7.70

8.66

9.63

Calculated by the present approximations

0.962

1.92

2.88

3.84

4.80

5.77.

6.74

7.72

8.71

9.70

Table values from ref. 2.

0.962

1.92

2.89

3.85

4.81

5.77

7.69

9.62

Page 12: Thermal and mechanical properties of nitrogen

- 11 -

The gas law is valid also for temperatures lower than 350K, but

not near the saturation temperature. It should be emphasized -

as mentioned in the introduction - that the present approxi­

mations in this case must not be used for variables larger than

P = 10 bar and T = 350K.

3. REFERENCES

1. Landolt - Boms tein. Zahlenwerte und Funktionen aus

Physik-Chemie-Astronomie-Geophysik und Tecknik. 6. Auflage

IV Band, Tecknik 4. Teil Warmetecknik. Springer Verlag 1967.

2. Vargaftik N.B. Tables on the Thermophysical Properties of

Liquid and Gases.

John Wiley & Sons.

3. Larsen, A.M. Steam and Water Property Routines Received

from the THOR group at Brookhaven National Laboratory,

NORHAV-D-030, Nov. 1976.

4. Handbook of Chemistry and Physics. 57th edition 1976-1977.

5. Dietrich, O.W. and Rathmann, O.S. Hewlett-Packard Keyboard.

Vol. 7, No. 4, p. 4-6.

6. Ottosen, P. Inverted Annular Film Boiling In Liquid Nitrogen

Flow. Rise National Laboratory. NORHAV-D-71. May 1979.

7. Eget, L. and Andersen, P.S. The RISQUE-T Computer Programme.

Research Establishment Risø. NORHAV-D-035. February 1977.

Page 13: Thermal and mechanical properties of nitrogen

- 12 -

4. TABLES

The approximations are tabulated in the following 14 tables. As

mentioned the valid ranges of the approcimations are given by

the first and the last variable stated in the table in question.

The temperatures T and pressure P have been chosen as independent

variables (see page 10).

5. FIGURES

The approximations (analytical fits) have been compared with the

experimental data (table values from the references) on the fol­

lowing 12 figures., which give an impression of the accuracy. As

mentioned on page 6 the entalpies have been chosen as independent

variables in most cases.

Page 14: Thermal and mechanical properties of nitrogen

»^>o>ovo<itocoæcoNisiNivio-(>-<>-o-oiuicncn*.-u4kj»wojc4wrjwwhjH'M^i^H'Njciro O M « W O M U M O M LI M O M M W O M C U J O si U M O M Cl IJ O M Ul I J O SJ Ol M O Ot O t i O U O U O U O U O U I O U O U O U O U O U O U O U O V I O U O U O U I O U I O U I O O O O

O O O C O O O O O O < 0 , 0 , 0 M ) S J ^ I ' O > 0 > 0 , 0 , < l , 0 > 0 O < l ' 0 C 0 C 0 C 0 C 0 I D C 0 I I l Q 0 3 M s J M S ) 0 ' W W M M W K H O O < > 0 ( » I B M \ j o . f r « O I * W M M H H O ' f l æ M s J O | * W M O « 0 > J * H M

0 > K ) O 4 k O U H M M a U > 0 « < 0 J k C 0 W s j H U < 0 W 0 > > 0 U - t > 0 > ( D , 0 O ' < ) Q ) 0 > U < M ( v } < a ( 0 O

Page 15: Thermal and mechanical properties of nitrogen

TABLE NO. 2.

N2 SATURATION PRESSURE PSAT V, TEMPERATURE TSAT.

(K)

68 69 70 71 72 73 74 75 76 77 78 7? 80 81 82 83 84 35 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104

PSAT<N/M2)

.289E 5 • 335E 5 • 338E 5 .447E 5 • 512E 5 • 586E 5 • 667E 5 »757E 5 • S56E 5 • 965E 5 .108E 6 • 121E 6 .135E 6 .151E 6 .168E 6 .136E 6 .206E 6 •227E 6 .250E 6 •274E 6 •301E 6 .329E 6 •359E 6 .391E 6 •426E 6 .462E 6 ,500E 6 .541E 6 .585E 6 •630E 6 •679E 6 .730E 6 .783E 6 .840E 6 •899E 6 .961E 6 .102E 7

Page 16: Thermal and mechanical properties of nitrogen

TABLE NO. 3.

N2 LATENT HEAT OF EVAPORATION HL6 V. TEMPERATURE TSAT.

TSAT(K)

68 69 70 71 72 73 74 ^5 76 77 78 7? 80 81 82 83 84 85 86 87 88 8? 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104

HLG<J/KG)

.206E 6 •206E 6 .205E 6 .204E 6 .203E 6 .202E 6 .201E 6 .200E 6 .199E 6 • 198E 6 .197E 6 •195E 6 •194E 6 • 193E 6 • 191E 6 .190E 6 .1S8E 6 • 187E 6 • 185E 6 . 184E 6 .133E 6 .1B1E 6 .130E 6 ,178E 6 • 177E 6 .175E 6 • 174E 6 .172E 6 .170E 6 .169E 6 .166E 6 .164E 6 .161E 6 .159E 6 .156E 6 •154E 6 • 153E 6

Page 17: Thermal and mechanical properties of nitrogen

W W W W W W O I W W b l U M M M M M M H N U M M M N M M M M M M M ^ H H H K H K H H K H K H H H H h i H K M Or-U ^ W U M K l H H 3 O M ) < O I S C D M s l 0 > l > - l . i | U I J > ^ U U M M i - ' H O O - < ) < 0 l s a s l M I M > ' U U I 4 > ^ U ( > I K i U H K O O < 0 > 0 0 ) C 0 o a o u o u o w o u o u o w o w o w o u o w o u o w o u o t i o u o u o u o en o ui o u o oi o (Ji o w o ui o '^ o ui o

& - e n c n * ^ w c > i W M H ' ^ o o > o > o æ ( D s j o > o » t q t n * * w w w K ) ^ ^ o o > o > o a i c o N j N j o > c h W 4 » * w w w w H . i - i o o o « M . c n o U C 0 U ^ M M M N H 0 > H 0 « O U O U O J > ^ 4 > 4 W 0 0 U a U ^ M ^ h J M H | > . H 0 > ^ C i | O U O 4 > 4 ^ > 0 ( > i a U v J K ) ^ M ^ O 0 l ^ r n r n r n r n r n i n r n r o p i r o r o r o r n P i n n f n p i r n r o R r o n p i P i n r n n n r n R r n n r n n n n n r n n F n R 0N0^o^o^oso^o^o^^^>o^^&s^*oso^o^o^Os^o^o^^osO^Os0^os(^o%o*^osD%o^^o^o%oso>oso%o%o^o^o«o«0N0^o^&,cncncnLn

W W W W W M W W W W W W W H f J f J W H M r j H H M W H M M H g M M M H H H H H H t J K H K H l - H K ' H H K H ' f l ' O t O O o ^ c n L n * * w w w r j » ^ M . o o s ) > o æ v i v i c ^ o « L n L n * * w w w w t - » - o o ^ o > o æ c o s i o » C K t n M * 4 » w w r o w H ' M . O ' > o * æ r j W C 0 W N i W v | W C K H i > > ^ C . l l O U O i > v 0 * > C . t > æ w æ w \ J W M W \ | K l > . H 0 > O L l | O l . l | » 0 4 k > f l W 0 0 W V J W M H t K O U 0 « O * S J nininroRinrnrnRropirøpirornPiRrnroPiPirnpirørnrnrnnrnpirnrnRroronrnrnrofTiPirt^

o -cu i i - t . . fcuwMWHHCo^oa)cosj^o-o-uoi -bAWWMro^HOo>o<iONj \ j i )>o>oi t .n* *wwwroHOOMHCi | u \ jUNjw\ iH^MO>ouocn^o*^ jk roucDu\ i t j \ jw \ iH tKHO>oc i ioc i i< i fe>ouæu\ i f j t i >H( . i io fecowuis jco ronirnnPiPirnrnrnrnfnPinnnfninnPirnnnPiroPirnniPinrnroFiPirnnpiPinifnrnnnPirnnPirnro

c^w«**wwww^^ooMJOTONisio-o-cqw*4»wwww»-'>-*oo>oeocosisio>o>Lntq*.4»wwrjMi-*oooi '<o r J M M M r - J O - ^ ( h ^ U O U O ^ - 0 4 > < O U I i a U ( a i O M r j M H O > H ^ 0 0 1 0 L > l 4 ^ 4 U a u s l M O > K 0 1 0 « a ) U ' v J H 4 k 4 J ^ I ? ! T I 4*5 J*I rvrs n n n R f n w n n n i R n n f q i q p i r i n i n n n i r n f q i q n n n n i ^ r ' i n i n n m n i h n i i ' i i ' i n i n i r n p i r n r n i ' i

04 « Csi Crt 04 W bl bi bi W O) W U tJ M M W M M M M M M N) M M M M M M W *•* »* t- t- t- •* H» »- t- h* »- »- H» l~ »- M •- •* •<> >0 00 o- cn « i . * w w w w H H o -o -o co æ M NJ o - t t - u w * * w w w r o H K o <i >o co CD M \ j o> »• w u J> * w io u ^ H o s) w VJ w x i w N » * - o > « - c ^ o t q o L q ^ 4 * > 0 4 k æ w æ w N i W N i i - C N ^ - ^ o c q o c n > 0 4 » s ) w c a w N i w c H H ' c q o * c o w N 4 i - » t n j k t g o mnsmnin immRmr imrnmnpi rn inRnmnRnmi ' i tnP in i rnnr i in inn in in rn rn i inn in f f l i ^n iR^nn i r in iP i

Page 18: Thermal and mechanical properties of nitrogen

TABLE NO. 4 (continued).

HI GAS ENTHALPY H6 (J/KG) V. TEMP. T ANH PRESSURE P.

P<M/M2) T<K> 80 85 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190 195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320 325 330 335 340 345 150

• 600E

.911E

.974E • 103E .109E .115E • 121E .127E • 133E .139E .144E .150E .156E .161E • 167E • 172E .177E .183E .138E • 193E .199E • 204E .209E • 215E .220E .225E .231E .236E .241E .246E • 252E • 257E • 262E .267E • 273E • 278E .2S3E • 2B9E • 294E ,299E .304E .310E .315E • 320E • 325E ,331E .336E • 341E • 346E • 352E , 357E . 362E

6

5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Q

6 6 6

,700E

.955E

.101E

.108E

.114E

.120E

.126E

.132E

. 138E

.143E

.149E

.155E

. 160E

. 166E

.171E

.177E

.132E

.183E

.193E

.198E

.204E

.209E

.214E

.220E

.225E

.230E

.235E

.241E

.246E

.251E

.257E

.262E

.267E • 272E ,278E ,283E .283E ,294E .299E .304E ,309E .315E ,320E .325E .331E .336E .341E ,346£ • 331E • 357E • 362E

6

5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6

4 6 6 '

• 800E

. 9 J5E

. 100E • 106E .112E .119E .125E .131E .137E .142E . 148E . 154E .160E . 165E .171E .176E .182E .187E .192E .198E .203E .208E • 214E .219E .224E .230E ,235E .240E .246E .251E .256E .261E .267E • 272E • 277E .283E .288E .293E .299E .304E .309E .314E ,320E .325E ,330E ,336E .34.IE • 346E .351E .356E .3*4 IE

6

5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6

. 900E

.916E • 983E .104E .HIE .117E .123E .130E • 136E .141E .147E .153E .159E .164E .170E .176E .181E . 186E .192E .197E .203E .208E .213E »219E .224E .229E .235E .240E .245E .250E .256E .261E .266E • 272E • 277E .282E .288E • 293É • 298É .304É .309E .314E • 320E .325E ,330E • 335E .341E .346E *351E v356E ,36 IE

6

5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6

.100E 7

.896E 5

.965E 5

.103E 6

.109E 6

.116E 6 •122E 6 .128E 6 .135E 6 .141E 6 .146E & .152E 6 .158E 6 .164E 6 .169E 6 .175E 6 .180E 6 .186E 6 .191E 6 .197E 6 .202E 6 .208E 6 .213E 6 .218E 6 .224E 6 .229E 6 .234E 6 .239E 6 .245E 6 .250E 6 .255E 6 .261E 6 .266E 6 .271E 6 ,277E 6 .282E 6 .287E 6 .293E 6 .298E 6 .303E 6 .309E 6 .314E 6 .319E 6 • 325E 6 .330E 6 .335E 6 .340E 6 .344E 6 •351E16 •356E A ,361£ 6

Page 19: Thermal and mechanical properties of nitrogen

TABLE NO. 5 (continues) .

N2 GAS DENSITY RG (KG/M3) V. TEMP. T

P<N/M2> TCK) SO 85 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190 195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320 325 330 335 340 345 350

.100E

.437E

.409E

.385E

.363E

.344E

.327E

.31 IE

.297E

.284E

.272E

.261E • 251E .242E .234E .226E .218E .211E .205E .199E .193E .187E .182E .177E .173E .168E .164E .160E .157E .153E .150E .146E • 143E .140E .137E .134E .132E .129E .127E .124E • 122E . 120E • U8E • 116E .114E • 112E • HOE . 108E .106E . 105E .103E • 102E ,100E • 990E ,976£ • 962E

6

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

i-i

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0

.200E

.849E

.794E

.746E

.704E

.667E

.633E

.603E

.576E • 551E .528E .508E .488E .471E .454E .439E .425E .412E .399E .387E .376E .366E .356E ,347E .338E .330E .322E .314E .307E .300E .293E .287E • 281E .275E .270E .264E .259E • 254E .249E ,245E .240E • 236E • 232E .228E .224E .220E • 217E .213É • 210É • 207^ • 203E • 200E .197E • 195E • 192E

PRESSURE P.

• 300E 6 .400E 6 .500E 6

.123E

.115E • 108E • 102E .967E .919E • 876E • 837E .801E • 769E • 739E .712E .686E .663E • 641E • o21E .602E .584E .567E .551E .536E • 522E .509E .496E • 484E .472E .461E .451E .441E • 431E .422E .413E .405E • 397E .389E .382E • 374E ,368E .361E • 354E • 348E • 342E • 336E • 331E • 325E ,32dE • 315E .3I6E • 305E ,301E • 29$E .292E ,286E

n 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

.158E

.148E

.139E

.131E

.124E

.USE

.113E

.108E

.103E

.995E

.957E

.922E • S90E .860E .S32E .806E .782E .759E .73SE .718E .698E .680E .663E .647E .632E .617E .603E .589E .576E .564E .552E .541E .530E .520E .510E .500E .491E .482E .473E .465E .457E .449E .441E .434E .427E ,420E .414E ,407E .401E .393E .390E .384E

2 *> 2 2 2 2 2 "7

2 1 1 1 1 1 1 1

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

.204E

.190E

.178E

.167E

.153E

.150E

.143E

.136E

.131E

.125E

.120E

.116E

.112E

. 108E • 104E .101E .983E ,954E ,926E .901E ,877E .854E .832E .SHE ,792E ,773E .756E • 739E .722E • 707E .692E • 678E .664E • 651E .638E .626E .614E .603E .592E • 582E .572E • 562E .552E .543E .534E • 526E .518E .510E ,502E .493E • 4S7E • 4^0E

2 2 2 2 *> 2 2 2 r> 2 2 2 2 2 4, ^

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Page 20: Thermal and mechanical properties of nitrogen

TABLE NO. 5 (continued).

N2 GAS DENSITY RG <KG/M3> V. TEHP. T

P<N/M2) .600E 6 .700E S T(K) 30 85 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190 195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320 325 330 335 340 345 330

• 235E • 219E .206E .194E . 183E .174E .166E .159E • 152E • 146E • 140E .135E .130E .126E • 122E ,118E .115E .HIE . 108E .105E .102E • 100E .977E .954E .931E .910E • 889E .869E .S51E .833E • 315E .799E • 7S3E ,768E .753E • 739E • 725E »712E .699E • 687E • 67SE • 664E • 653E • 642E • 632E • 622E ,612E • 603E • 594E .585E • 577E

*> "3

2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 t 1 1

.263E 2

.246a 2

.231E 2

.218E 2

.207E 2

.197E 2

.188E 2

.179E 2

.172E 2

.165E 2

.159E 2

.153E 2

.148E 2

.143E 2

.139E 2

.135E 2

.131E 2

.127E 2

.123E 2

.120E 2

.117E 2

.114E 2

.111E 2 •109E 2 .106E 2 .104E 2 .101E 2 .996E 1 .975E 1 .954E 1 .935E 1 ,916E 1 .898E 1 .881E 1 .864E 1 .848E 1 .833E 1 .818E 1 .803E 1 .789E 1 .776E 1 .763E 1 .750E 1 .738E 1 ,727E 1 .716E 1 ,705E 1 • 694E 1 ,684E 1 • 674E 1

AND PRESSURE P.

.SOOE 6 .900E 6 .100E 7

.309E

.288E

.270E • 254E .240E .228E .217E .20SE .199E .191E . 134E .177E .171E .165E . 160E .155E .150E .146E .142E .138E .135E .131E . 128E • 125E .122E .119E .116E .114E .HIE .109E .107E .105E . 103E .101E .990E .972E .954E .937E ,920E ,904E .889E .874E .860E .846E .832E • 819E .307E • 795E , 783E .772E

o

2 o ^ 2 2 2

r> 2 2

2 2 •?

2 2 2 2 o o «• *y

2 *> 2 2 2 o 2 2

2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

.359E

.333E

.311E

.292E

.276E

.261E

.248E • 237E .227E .217E .209E .201E .194E .187E .1S1E .176E ,170E • 165E .161E .156E .152E . 148E .145E .141E . 138E • 135E • 132E .129E • 126E .123E • 121E . 113E .116E .114E .HIE .109E .107E .105E • 103E .102E .100E .986E • 970E .954E .939E .924E .910E • 896E • 883E «371E

o *. 2 2 2 2 2 i

2 2 2 2 2 2 9 ^ 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1,

.412E 2

.381E 2

.354E 2

.332E 2

.312E 2

.295E 2

.2S0E 2 •267E 2 .255E 2 .244E 2 .235E 2 .226E 2 .218E 2 .210E 2 .203E 2 .197E 2 .191E 2 .185E 2 .1S0E 2 .175E 2 .170E 2 .166E 2 .162E 2 .158E 2 .154E 2 .150E 2 .147E 2 »144E 2 .141E 2 .138E 2 .135E 2 ,132E 2 .129E 2 .127E 2 .124E 2 .122E 2 .120E 2 .117E 2 .USE 2 .113E 2 .11?.E 2 .109E 2 .108E 2 .106E 2 .104E 2 .103E 2 »101E 2 .999E 1 .984E 1 .970E 1

Page 21: Thermal and mechanical properties of nitrogen

u o o in

U l U I U J t x i U l i i U U U l U U J t U U J U U U l U U I U U J U J U I t i i U t U J U I U l i J l i l U J I i J U l U t i J l i J U J U I U I n < H 0 M H O C K M D N ' 0 < 0 n ^ < r i , ) r , ) N n r t H O O O > M ) « C 0 ( B ( B N N N N > 0 ' 0 ' < H ) C U K U K J M r l r l H r t n r t d H r t H r l H H r t r l H r t r t O O O O O O O O O O O O O O

*0

CL

LU CL =) to tn u cc: LL

Q z <r t-

* LL

r LU »-

• •>

**% X. o k: x ->

LU O O <r •

•0

Ul o o n •

«o Ul o o rj •

U J U I U I U U I U J U U U U U J U J U U I U J U J U U I I i J U I l J U I t i l U I U J I i J U I b i U l U J U U I i l U l l i J U I U J U l O O f r n » N N f l l i l i n < r M M r i M H r t O O O ( M M H D ( D ( D N N N N ' < > < 0 ' 0 > 0 > 0 ' f l K ) I O n M 0 J ^ » - t T H * H r ^ ^ f r t ^ l ^ r H . r t T H ^ T ^ . r 4 i - « T - t O O O O O O O O O O O O O O O O O O O

* S ' « r « t < t t t ^ < r " r < r f < t * * * » f ^ t * ^ * * * t T < t t t * t ' r < r , r t « t * ' r t * * U i U U J l i J l i l U U U I U I t l U U J U I U U I U U U J U I U l U J t i l U I U l U U I U U I i l U l i l U I U I U L I U I U l U i U U J b l

U l U U I U U I U I U I U U I l J U U U I U J l i J U I U U I U I U i U J U J U I U J U l b J U I U U J U U U i U I U U J U I U I U U I U U U i

i - i T - i ^ t H ^ i ^ - i r - i i - i ^ i i - t O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O

vO

CL L) LU U J l J U I U U U U L J U U U U J U i y t J U J U U I U l U l l J U l U I I J U U U U l U J L i l i J l J U I U J l i J U I U J t i J U l U J I i I l i J t i J U J l U U l

o n w n w i * © < * c * æ a ) N r v r \ * o < > ^ U T i n i n * ^ * ^ * ^ * M W M n n r o r o M w t * i n w n w ^ - * r < r , « - « r « r >- O T H ^ I - I I - I T - I I - I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O

H-t » « . . • • » » « • » • • . » » » • • » • » • . » . » • . • . . * » • » . . . * * . . » » . . . » . . . .

u <I a. ~ o « i pon< r ' « roow ' r«oæon^>o (»o r i ' r oo3o r< ' r ^ (BOf i ' r <HDON , r > o<DOMt '0 (Do r - i ' r >o<DO i- 2^oo30)o)æi> .o> tK thO>oooooHHTHHHnnNr iN t tMn i in^<r ' r< r^n i i i i i i n i iTO<o>o>0 'OK Ul CL H I

CO <r o CM

z

Page 22: Thermal and mechanical properties of nitrogen

TABLE NO. 7.

M2 GAS CONDUCTIVITY KG AT 1 BAR V. TEMPERATURE T,

T(K) KG(W/MK)

80 85 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190 195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 2U5 290 295 300 305 310 315 320 325 330 335 340 345 350

.787E-2

.829E-2

.871E-2

.913E-2

.956E-2

.100E-1

.104E-1 •108E-1 .113E-1 .117E-1 .122E-1 •126E-1 .130E-1 .135E-1 .139E-1 •144E-1 .148E-1 •152E-1 .157E-1 .161E-1 .165E-1 •170E-1 .174E-1 .178E-1 •182E-1 »186E-1 »190E-1 •194E-1 •199E-1 .203E-1 •207E-1 •210E-1 •214E-1 •218E-1 •222E-1 •226E-1 •230E-1 •233E-1 •237E-1 •241E-1 •245E-1 »248E-1 .252E-1 .256E-1 »260E-1 .263E-1 •267E-1 •271E-1 »275E-1 •279E-1 •282E-1 •2S6E-1 •290E-1 •294E-1 .298E-;'

Page 23: Thermal and mechanical properties of nitrogen

TABLE NO. 8 (continues) .

N2 GAS DYN. VISCOSITY MYG (NS/M2) V.

P<N/M2> T<K) 80 85 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190 195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300

.100E 6

.552E-5

.596E-5 •620E-5 .653E-5 .687E-5 .721E-5 .754E-5 »787E-5 •819E-5 .852E-5 .884E-5 .915E-5 .946E-5 .977E-5 .100E-4 .103E-4 •106E-4 •109E-4 .112E-4 .115E-4 .118E-4 •121E-4 .123E-4 .126E-4 .129E-4 .131E-4 .134E-4 »137E-4 .139E-4 .142E-4 .144E-4 .147E-4 »150E-4 •152E-4 •155E-4 •158E-4 .160E-4 .163E-4 .166E-4 •169E-4 •172E-4 •175E-4 •173E-4 ,181E-4 .184E-4

•200E 6

-•589E-5 .623E-5 .657E-5 •690E-5 .724E-5 .757E-5 •790E-5 .822E-5 .855E-5 .887E-5 .918E-5 .949E-5 .980E-5 .101E-4 .104E-4 .107E-4 •109E-4 .112E-4 •115E-4 •113E-4 .121E-4 •124E-4 .126E-4 .129E-4 .132E-4 .134E-4 .137E-4 .139E-4 •142E-4 .145E-4 •147E-4 .150E-4 .152E-4 •153E-4 .158E-4 •160E-4 •163E-4 .166E-4 •169E-4 .172E-4 •174E-4 •178E-4 .181E-4 .184E-4

EMP. T AND PRESS. P.

»300E 6 .400E 6 .500E 6

.628E-5

.661E-5

.694E-5

.728E-5

.761E-5

.793E-5 •826E-5 .858E-5 .890E-5 »921E-5 .953E-5 .983E-5 .101E-4 .104E-4 .107E-4 .110E-4 •113E-4 .115E-4 •118E-4 .121E-4 •124E-4 .126E-4 .129E-4 .132E-4 •134E-4 .137E-4 •140E-4 .142E-4 •145E-4 •147E-4 •150E-4 .153E-4 •155E-4 •I58E-4 •160E-4 •163E-4 .166E-4 .169E-4 .171E-4 .174E-4 .177E-4 .1S0E-4 .183E-4

.667E-5

.700E-5

.733E-5

.765E-5

.798E-5

.830E-5

.862E-5

.894E-5

.925E-5

.956E-5

.987E-5

.101E-4

.104E-4

.107E-4

.110E-4 •113E-4 .116E-4 .119E-4 •121E-4 •124E-4 •127E-4 .129E-4 .132E-4 •135E-4 .137E-4 •140E-4 .142E-4 •145E-4 »148E-4 •150E-4 .153E-4 •155E-4 •158E-4 .160E-4 •163E-4 .166E-4 .169E-4 .171E-4 .174E-4 .177E-4 •1S0E-4 •1S3E-4

.674E-5

.706E-5

.738E-5

.770E-5

.802E-5

.834E-5

.366E-5

.998E-5

.929E-5

.960E-5

.990E-5

.102E-4

.105E-4

.107E-4

.110E-4

.113E-4

.116E-4

.119E-4

.122E-4 •124E-4 .127E-4 •130E-4 •132E-4 •135E-4 •J38E-4 ,140E-4 .143E-4 .145E-4 •143E-4 •150E-4 •153E-4 .155E-4 .158E-4 •161E-4 •163E-4 •166E-4 •168E-4 •171E-4 .174E-4 .177E-4 •180E-4 .183E-4

Page 24: Thermal and mechanical properties of nitrogen

FABLE NO. 8 (continued).

N2 GAS DYN. VISCOSITY MYG (NS/M2) V. TEMP. T AND PRESS. P.

><N/M2) (K) 80 35 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 ISO 185 190 195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300

.600E 6

.714E-5

.745E-5

.777E-5

.808E-5

.839E-5

.871E-5

.902E-5

.933E-5

.963E-5

.994E-5

.102E-4 »105E-4 .108E-4 .111E-4 .114E-4 .116E-4 .119E-4 .122E-4 .125E-4 .127E-4 .130E-4 »133E-4 .135E-4 .138E-4 .140E-4 .143E-4 .145E-4 .148E-4 .151E-4 .153E-4 .156E-4 .158E-4 .161E-4 .163E-4 .166E-4 .168E-4 .171E-4 .174E-4 .177E-4 •179E-4 .182E-4

.700E 6

.753E-5

.783E-5

.814E-5

.845E-5

.876E-5

.907E-5

.937E-5

.967E-5

.998E-5

.102E-4

.105E-4 ,108E-4 .111E-4 .114E-4 .117E-4 .119E-4 .122E-4 .125E-4 •12SE-4 .130E-4 .133E-4 •135E-4 .138E-4 .141E-4 .143E-4 •146E-4 .148E-4 .151E-4 .153E-4 •156E-4 .158E-4 .161E-4 .163E-4 .166E-4 .168E-4 •171E-4 .174E-4 .176E-4 .179E-4 •132E-4

•800E 6

.762E-5

.791E-5

.821E-5

.851E-5

.881E-5

.912E-5

.942E-5

.972E-5

.100E-4

.103E-4

.106E-4

.108E-4

.111E-4

.114E-4

.117E-4

.120E-4

.123E-4

.125E-4

.128E-4

.131E-4

.133E-4

.136E-4

.138E-4

.141E-4

.143E-4

.146E-4 •148E-4 .151E-4 .153E-4 .156E-4 .158E-4 .161E-4 .163E-4 •166E-4 .168E-4 •171E-4 •174E-4 .176E-4 .179EM .182E-J4

.900E 6

.772E-5

.800E-5

.329E-5 •858E-5 .888E-5 .917E-5 .947E-5 .976E-5 .100E-4 .103E-4 .106E-4 .109E-4 .112E-4 .115E-4 •117E-4 .120E-4 .123E-4 .126E-4 •128E-4 •131E-4 .133E-4 .136E-4 .139E-4 •141E-4 .144E-4 .146E-4 .149E-4 .151E-4 .154E-4 .156E-4 .158E-4 .161E-4 .163E-4 .166E-4 »168E-4 •171E-4 .173E-4 •176E-4 •179E-4 »181E-4

.100E 7

.783E-5

.810E-5

.837E-5

.366E-5

.394E-5

.923E-5

.952E-5

.981E-5

.I01E-4

.103E-4

.106E-4

.109E-4

.112E-4

.115E-4

.118E-4

.120E-4

.123E-4

.126E-4

.128E-4

.131E-4

.134E-4

.136E-4

.139E-4

.141E-4

.144E-4

.146E-4

.149E-4

.151E-4

.154E-4

.156E-4 •159E-4 .161E-4 .163E-4 •166E-4 .168E-4 •171E-4 .173E-4 .176E-4 .178E-4 .181E-4

Page 25: Thermal and mechanical properties of nitrogen

TABLE MO. 9.

N2 LIQUID ENTHALPY HL V. TEMPERATURE T

<K>

68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104

HLCJ/K6)

-.137E 6 -.135E 6 -.134E 6 -.133E 6 -.131E 6 -.130E 6 -.128E 6 -.126E 6 -.124E 6 -.122E 6 -.120E 6 -.118E 6 -.115E 6 -.113E 6 -.HIE 6 -.109E 6 -»106E 6 -.104E 6 -.102E 6 -.100E 6 -.984E 5 -.965E 5 -.947E 5 -.930E 5 -.913E 5 -.896E 5 -.878E 5 -.860E 5 -.841E 5 -.819E 5 -.795E 5 -.769E 5 -.742E 5 -.714E 5 -.688E 5 -.668E 5 -.660E 5

Page 26: Thermal and mechanical properties of nitrogen

TABLE NO* 10.

N2 LIQUID DENSITY RL V. TEMPERATURE T.

T(K)

68 69 70 71 72 73 74 75 76 77 73 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106

RL<KG/H3>

.842E 3

.839E 3

.837E 3 • 834E 3 .331E 3 .327E 3 .S23E 3 .319E 3 .315E 3 .810E 3 .805E 3 .800E 3 .795E 3 .790E 3 .784E 3 .779E 3 .773E 3 .768E 3 .763E 3 .758E 3 .753E 3 .748E 3 .744E 3 .739E 3 .735E 3 .731E 3 .726E 3 .721E 3 .716E 3 .710E 3 .704E 3 .697E 3 .690E 3 .682E 3 .675E 3 .670E 3 .668E 3 .671E 3 »684E 3

Page 27: Thermal and mechanical properties of nitrogen

TABLE NO* n .

N2 LIQUID HEAT CAPACITY CPL. V. TEMPERATURE TSAT.

TSAT<K) CPL(J/K6K)

63 69 70 71 72 73 74 75 76 77 78 79 30 81 82 83 84 35 86 37 88 89 90 9i 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106

• 193E • 193E .193E .193E .193E .193E • 193E • 194E .194E • 194E .194E • 195E .195E .196E • 196E • 197E • 198E • 198E • 199E .200E .201E .201E .202E .203E .204E • 205E .206E .208E • 209E • 211E • 213E .215E .218E .222E »225E ,228E • 229E .227E • 221E

4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

Page 28: Thermal and mechanical properties of nitrogen

M B O O O O O O i - ' H H M M H K ] K ) U M M U U U U U A 4 k 4 » ^ » ^ A ( J I U I H U O M ^ U N J Q O H U J t t . ( 0 O H b | ^ C 0 O t J ^ 0 > I S O N U U > j a i < 4 H M ro PI n> rn n rnrnropiroinrnpirnpinrnropipi nnrnrnrnpiPiPirnrnrrrnn i i ^ M - 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Page 29: Thermal and mechanical properties of nitrogen

TABLE NO, 1 3 .

N2 LIQUID DYNAMIC VISCOSITY MYL V . TEMPERATURE T .

T (K) rtYL<NS/M2)

68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

.228E-3

.222E-3

.215E-3 •208E-3 •201E-3 •194E-3 .186E-3 •17SE-3 •170E-3 .163E-3 .155E-3 .147E-3 ..140E-3 •133E-3 •127E-3 .121E-3 .115E-3 •110E-3 »106E-3 •101E-3 .932E-4 »950E-4 .920E-4 •894E-4 •S70E-4 .848E-4 •S27E-4 .807E-4 •787E-4 .768E-4 •749E-4 .732E-4 .718E-4

Page 30: Thermal and mechanical properties of nitrogen

o Q æ æ æ æ c o c o c D C o c o v i v i v i v i s i x j - s j v j - v j v i c K O * O>0C0v4«KW-bWWt- l O>0C0sl0 .014»UrvJl - *OMJC0

O W J > t M B O W « ( B O U l i | a o W « M > 0 O O O O O •NI ci * 4* en æ ^ en © en o en o 4» sj o ro w i- r j j i Ch si p i r n r n r n p i P t F i f r n r n p i r n n r ' i r n P i n n r n r n n r t i P i i i i i i i i i i i i i i i i i i i i i i i i

M M M M M M M W M M M M M M M M M M H H H H (-

Page 31: Thermal and mechanical properties of nitrogen

110 T 1 1 r i 1 1 r

100 -

90

— 80 o N

70

60 -

50

0 i J L

ANALYTICAL FIT O TABLE VALUES

' ' • L i 4 6

PlN/m2] 8 x105

Fig. 1: N2 saturation temperature T . versus pressure P.

Page 32: Thermal and mechanical properties of nitrogen

t106 i r i r

a2i

0.20

0.19 -

0.18

0.17

0.16

0.15

0 l

ANALYTICAL FIT O TABLE VALUES

J I 1 L I I L

4 6

P(N/m2]

S 8 *10:

Pi£_2: N2 heat of evaporation h£ versus pressure P.

Page 33: Thermal and mechanical properties of nitrogen

r^V-r P=1 bar o P=2 • P=3 •

Table values P=4 P=5 • P=6 • P=10 •

S X . Analytical fit

• v • a • A • 0 • O • <3

2 3

hg (J/kg)

x10"

Fig. 3; N2 gas density p versus entalphy h and pressure P.

1300

-1200

u 1100

1000

— i — i — i — i — i — i — r TABLE VALUES Ps1 bar o

P=2 P=3 P=A P=5 P=6

V a A O

ANALYTICAL FIT —

' ' • L J I L

0.7 1.0

Fig_̂ __4s N, gas heat

pressure.i P..

hg(J/kg) 1.5 2x10-

capacity c versus entalphy h' and I N i p g i i i, g

Page 34: Thermal and mechanical properties of nitrogen

10 2.0 hg(J/kg)

3.0x10'

Fig« 5: N2 gas conductivity k versus entalphy h

1 2 hg (J/kg)

3x10*

Fig. 6; N2 gas dynamic viscosity u versus antalpby h

" " 'i and pressure ^. '. '' ' "

Page 35: Thermal and mechanical properties of nitrogen

350

300

250

200

150

100

50

1 bar 6 bar

ANALYTICAL FIT TABLE VALUES

1 2 hgU/kg]

*10!

Fig. 7; N2 gas temperature versus éntalphy h and pressure P.

Page 36: Thermal and mechanical properties of nitrogen

-0.5

en

-1.0

-1.5

<105

T 1 r i r

ANALYTICAL FIT O TABLE VALUES

0 1

j I L • ' ' •

Fig . 8: N2 l iqu id

2 3 4 5 6 7 8 9 x105

PtN/m2]

entalphy h, g a t versus pressure P.

Page 37: Thermal and mechanical properties of nitrogen

Ol

Pi£^_9: N2 liquid density p£ versus entalphy h,.

0.19

*\0

— ANALYTICAL FIT O TABLE VALUES

' • I I 1 I — — J 1 l i i L

-to -os ?0

Fig. 10: N2 liquid heat capacity c A versus entalphy h^,

Page 38: Thermal and mechanical properties of nitrogen

ae E

35- aio

Q05

i r i « r

— ANALYTICAL FIT O TABLE VALUES

5 L J L J I L

-tO -05 h,(J/kg)

Fig. 11; N2 liquid conductivity k^ versus entalphy h,.

«10i i i r T 1 1 1 1 1 r T r

05

— ANALYTICAL FIT O TABLE VALUES- 1bar O - - 10 bar

I I L I I I I I

»105 •10 - 0 5 h,(J/kg)

fri«« 12i N2 l i S u l d dynamic viscosity u, versus entalphy h,.

I "9 I I I Xf

Page 39: Thermal and mechanical properties of nitrogen

Ris« National Laboratory - M . U230 1

i

S

Ti t i* and author(s)

Thermal and Mechanical P r o p e r t i e s o f N i t r o c e n

P . O t t o s e n and G. Mannov

Departaent or group

R e a c t o r t e c h n o l o c y

9 pages + 14 tables + 1 2 i l lustrat ions

Dace June 198C

Group' s own registrar ion nuober(s)

Abstract

Routines for the physical properties of nitrocen

liquid and gas (1 to 6 bar) are presented.

The approximations are polynomials worked out

by the least squares method. The fitted expres­

sions have been compared with experimental data,

and the accuracy is about one percent.

Copies to

100 Library

Reactor Techno logy 35

Available on request from Riso Library/ Ris« National Laboratory (Risø Bibliotek), Forsagsanlag Risø), DK-4000 Roskilde, Denmark Telephone: (03) 37 12 12, ext . 2262. Telex: 43116