Heat and mass transfer of a multiatomic gas in a cylindrical capillary with arbitrary Knudsen numbers |
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Authors: | I V Chermyaninov V G Chernyak A N Kulev |
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Affiliation: | (1) A. M. Gor'kii Ural State University, USSR |
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Abstract: | Processes of heat and mass transfer of a multiatomic gas in a cylindrical channel of circular cross section with arbitrary Knudsen numbers are considered on the basis of a model kinetic equation, taking account of the excitation of rotational and vibrational degrees of freedom of the molecules.Notation Kn
Knudsen number
- f, ftr
total and translational Eucken factors
- Ro
capillary radius
- m
molecular mass
- k
Boltzmann's constant
- n, T
numerical density and temperature of gas
- vi
i-th component of the molecular velocity
- hij
perturbation function
- Ei
(r), ej
(v)
energy of the i-th rotational and j-th vibrational levels
- Eo
(r), Eo
(v)
equilibrium values of the rotational and vibrational energy
- Pi
(r), Pi
(v)
probability of rotational and vibrational states of energy E
i
r
and E
j
v
- ,
logarithmic pressure and temperature gradients
- To
mean gas temperature
- R
rarefaction parameter of gas
- C
V
r
, C
V
v
contributions of rotational and vibrational degrees of freedom of the molecule to the specific heat at constant volume
- U
macroscopic gas velocity
- q(t), q(r), q(v)
components of the heat flux density due to translational, rotational, and vibrational degrees of freedom of the molecules
- P,
pressure and dynamic viscosity of the gas
-
l
free path length of molecules
- up
velocity of Poiseuille flow
- uT
rate of thermal creep
-
cross-sectional area of capillary
- In, Iq
numerical and heat fluxes averaged over the channel cross section
-
universal index characterizing the thermomolecular pressure difference
- t, r, v
thermal conductivities due to translational, rotational, and vibrational degrees of freedom of the molecules
-
mass density of the gas
- Drr, Dvv
diffusion coefficients of rotationally and vibrationally excited molecules among the unexcited molecules
- Zr
rotational collisional number
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 47, No. 1, pp. 71–82, July, 1984. |
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Keywords: | |
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