Basics of Aerothermodynamics

Chapter 13: Constants, Functions, Dimensions and Conversions

The dimensions are in general the SI units (Syst me International d'unit s), see [1], [2], where also the constants can be found. The basic units, the derived units, and conversions [1] to US units are given in Section 13.2.

13.1 Constants and and Air Properties

Molar universal gas constant R 0 = 8.314472 10 3 kg m 2/ s 2 kg-mol K

= 4.97201.10 4 lb m ft 2/ s 2 lb m ? mol R

Stephan-Boltzmann constant ? = 5.670400-10 ?8 W/m 2 K 4

= 1.7123.10 ?9 Btu/hr ft 2 R 4

Table 13.1: Molecular weights, gas constants, and intermolecular force parameters of air constituents for the low temperature domain, [3], [4]. * is the U. S. standard atmosphere value, + the value from [4].

Gas

Molecular weight M [ kg/ kg- mol]

Specific gas constant R [ m 2/ s 2 K]

Collision diameter ?. 10 10 [ m]

2nd Lennard-Jones parameter ?/ k [ K]

air

28.9644 * (28.97 +)

287.06

3.617

97.0

N 2

28.02

296.73

3.667

99.8

O 2

32.00

259.83

3.430

113.0

NO

30.01

277.06

3.470

119.0

N

14.01

593.47

2.940

66.5

O

16.00

519.65

2.330

210.0

Ar

39.948

208.13

3.432

122.4

He

4.003

2077.06

2.576

10.2

[3]J. O. HIRSCHFELDER, C. F. CURTISS, R. B. BIRD. "Molecular Theory of Gases and Liquids". John Wiley, New...

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