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.
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Abbreviations
- 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 ri and E vj
- ν, τ:
-
logarithmic pressure and temperature gradients
- To :
-
mean gas temperature
- R:
-
rarefaction parameter of gas
- C rV , C vV :
-
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, η:
-
pressure and dynamic viscosity of the gas
- l :
-
free path length of molecules
- up:
-
velocity of Poiseuille flow
- uT :
-
rate of thermal creep
- Σ:
-
cross-sectional area of capillary
- In, Iq :
-
numerical and heat fluxes averaged over the channel cross section
- γ:
-
universal index characterizing the thermomolecular pressure difference
- γt, γr, γv :
-
thermal conductivities due to translational, rotational, and vibrational degrees of freedom of the molecules
- ρ:
-
mass density of the gas
- Drr, Dvv :
-
diffusion coefficients of rotationally and vibrationally excited molecules among the unexcited molecules
- Zr :
-
rotational collisional number
Literature cited
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 47, No. 1, pp. 71–82, July, 1984.
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Chermyaninov, I.V., Chernyak, V.G. & Kulev, A.N. Heat and mass transfer of a multiatomic gas in a cylindrical capillary with arbitrary Knudsen numbers. Journal of Engineering Physics 47, 797–805 (1984). https://doi.org/10.1007/BF00832595
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DOI: https://doi.org/10.1007/BF00832595