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Calculation of thermal-diffusion separation in a mixture of gases

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

A method for calculating thermal-diffusion separation in a multicomponent mixture of gases is presented that does not require the application of either a thermal-diffusion coefficient or other quantities associated with it (a thermal-diffusion ratio, a factor of thermal diffusion). A comparison of the calculated results with experimental data for binary mixtures is given.

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Abbreviations

n :

number of components in the mixture

i, j :

subscripts numbering the mixture components

Ni :

density of the total mole flux of the i-th component

Nid :

density of the diffusion mole flux of the i-th component

Nic :

density of the convective mole flux of the i-th component

ci :

partial mole density of the i-th component

c :

total mole density of the mixture

v:

local velocity of the mixture motion as a whole (v is the same in a one-dimensional case)

l i :

mean free path of type-i molecules

u i :

average thermal velocity of type-i molecules

D i :

self-diffusion coefficient of molecules of the i-th mixture component

D ij :

trace coefficient of mutual diffusion of type-i molecules in gas j

D ij :

self-diffusion coefficient in gas i

K ij :

constants entering into formula (6)

T :

temperature

p :

pressure

ρ:

mass density of mixture

μ:

mixture viscosity

M i :

molecular mass of i-th component

x i :

mole fraction of i-th component

t :

time

z :

coordinate

R :

universal gas constant

Thot :

temperature of hot volume

Tcold :

temperature of cold volume

αt :

factor of thermal diffusion

References

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Authors and Affiliations

  1. Ural State University, Ekaterinburg, Russia

    A. S. Raspopin & T. V. Solomeina

Authors
  1. A. S. Raspopin
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  2. T. V. Solomeina
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 70, No. 1, pp. 60–63, January–February, 1997.

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Raspopin, A.S., Solomeina, T.V. Calculation of thermal-diffusion separation in a mixture of gases. J Eng Phys Thermophys 70, 61–65 (1997). https://doi.org/10.1007/s10891-997-0012-1

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  • DOI: https://doi.org/10.1007/s10891-997-0012-1

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