Abstract
Under consideration is the effect of nonideality of the components in a gas mixture on the process of their separation by thermal diffusion. It is demonstrated that in the expressions for the heat flux and the mass flux, the thermodiffusion ratio and the characteristic of diffusional thermal conductivity the effect of nonideality appears in the heat of mixing.
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Abbreviations
- p:
-
pressure
- ρ:
-
density
- \(\bar \iota _i \) :
-
length of the mean free path for molecules during transport of particles
- \(\bar \iota '_i \) :
-
length of the mean free path for particles during a transfer of the mean velocity
- n:
-
molecule concentration
- M:
-
molecular weight
- I:
-
particle flux
- J:
-
mass flux
- m:
-
mass of a molecule
- t:
-
time
- Dij :
-
coefficient of interdiffusion for a binary mixture
- D Ti :
-
coefficient of thermal diffusion
- KT :
-
thermodiffusion ratio
- αT :
-
thermodiffusion constant
- xi :
-
molar fraction of the i-th component in the mixture ϕ(r), intermolecular interaction potential
- r:
-
intermolecular distance
- \(_\Omega \left( {\iota , s} \right)*\) :
-
collision integrals
- T:
-
temperature
- T* :
-
referred temperature
- R:
-
universal gas constant
- k:
-
Boltzmann constant
- Ñ:
-
Avogadro's number
- v:
-
mean velocity of molecules
- ¯V:
-
diffusion rate
- λi, trans :
-
thermal conductivity associated with translatory degrees of freedom
- fi(r, v, t):
-
velocity distribution function of molecules
- η:
-
viscosity
- μi :
-
chemical potential of the i-th component
- ci :
-
mass fraction
- λo :
-
thermal conductivity at the initial instant of time
- λ∞ :
-
thermal conductivity in the steady state
- λDT:
-
diffusional component of thermal conductivity
- g and h:
-
molar thermodynamic functions
- ¯g and ¯h:
-
specific thermodynamic functions
- cp :
-
specific heat
- Jq :
-
heat flux
- J′q :
-
reduced heat flux
- B:
-
second virial coefficient
- U* :
-
transport energy
- β:
-
coefficient of thermal expansion
- β′:
-
coefficient of isothermal compression
- fi :
-
activity coefficient for the i-th mixture component
Literature cited
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B. N. Zamskii, “Molecular theory of transport in multicomponent liquid mixtures,” in: Transport Processes in Gases, Liquids, and Solids [in Russian], Izd. Inst. Teplo-MassoObmena Akad. Nauk BSSR, Minsk (1979), pp. 1–5.
S. R. De Groot, Thermodynamics of Irreversible Processes [Russian translation], Mir, Moscow (1956).
T. N. Abramenko, B. A. Shashkov, O. A. Kolenchits, and A. F. Zolotukhina, “Nonsteadystate of heat and mass transport processes in binary gas mixtures,” Inzh.-FIz. Zh.,40, No. 4, 726–731 (1981).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 40, No. 5, pp. 829–839, May, 1981.
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Abramenko, T.N., Shashkov, E.A. & Zolotukhina, A.F. Effect of nonlinearity of gas mixtures on the process of their partition by thermal diffusion. Journal of Engineering Physics 40, 506–515 (1981). https://doi.org/10.1007/BF00822116
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DOI: https://doi.org/10.1007/BF00822116