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Calculation of the gas diffusion coefficient in microcapillaries using molecular data

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Abstract

An expression is obtained for calculation of the diffusion coefficient of rarefied gases in microcapillaries with consideration of the action of the surface force field.

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Abbreviations

ρ:

mean-squared displacement

t, τ:

time

D:

Diffusion coefficient

r:

displacement

m:

mass

v:

velocity

k:

Boltzmann constant

T:

absolute temperature

rc :

capillary radius

u:

intermolecular potential

ɛ:

maximum attraction energy of molecules

σ:

distance at which the molecular potential is equal to zero

U:

system potential

F:

force

R:

distance between a molecule and capillary axis

A:

autocorrelation velocity function

F(i) :

force derivatives

χ:

trajectory

K:

kinetic energy

Literature cited

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  6. D. P. Timofeev, Adsorption Kinetics [in Russian], Izd. Akad. Nauk SSSR, Moscow (1962).

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Authors and Affiliations

  1. Institute of Physical Chemistry, Academy of Sciences of the USSR, Moscow

    L. A. Grivtsova & N. V. Churaev

Authors
  1. L. A. Grivtsova
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  2. N. V. Churaev
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 47, No. 1, pp. 82–87, July, 1984.

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Grivtsova, L.A., Churaev, N.V. Calculation of the gas diffusion coefficient in microcapillaries using molecular data. Journal of Engineering Physics 47, 806–809 (1984). https://doi.org/10.1007/BF00832596

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  • DOI: https://doi.org/10.1007/BF00832596

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