Abstract
An experimental study of the temperature dependence of the binary diffusion coefficients (BDCs) was conducted for five binary mixtures of gases: \(\mathrm{H}_{2}{-}\mathrm{N}_{2}, \mathrm{H}_{2}{-}\mathrm{CO}, \mathrm{H}_{2}{-}\mathrm{CH}_{4}, \mathrm{H}_{2}{-}\mathrm{C}_{2}\mathrm{H}_{6}\), and \(\mathrm{H}_{2}{-}\mathrm{C}_{3}\mathrm{H}_{8}\). Measurements were carried out with the use of a steady-flow method in the temperature range from 250 K to 900 K and the pressure range from 0.1 MPa to 15 MPa. The determination of the BDCs is based on analysis of the volume fraction of the diffusing gas in the gas flow. The experimental data were compared with the results of calculations by the proposed formula evaluated within the framework of the elementary kinetic theory. The obtained results exhibit considerably good agreement with the experimental data within the experimental error. The results of investigations of the temperature dependence of the BDCs show that this dependence can be fitted with a power law only at atmospheric pressure.
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Abbreviations
- \(A\) :
-
Dimensionless value that depends on the volume fraction
- \(\mathrm{BDC}\) :
-
Binary diffusion coefficient
- \(c\) :
-
Volume fraction of diffusing gas
- \(D_{1 2}^0\) :
-
Binary diffusion coefficient at pressure \(P^{0}\) and temperature \(T^{0}\) (\(\mathrm{cm}^{2}\cdot \mathrm{s}^{-1})\)
- \(D_{1 2}^T\) :
-
Binary diffusion coefficient at pressure \(P^{0}\) and temperature \(T (\mathrm{cm}^{2}\cdot \mathrm{s}^{-1})\)
- \(D_{1 2}^{P,T}\) :
-
Binary diffusion coefficient at pressure \(P\) and temperature \(T (\mathrm{cm}^{2}\cdot \mathrm{s}^{-1})\)
- \(L\) :
-
Length of capillary tube (cm)
- \(L_\mathrm{eff}\) :
-
Effective length of capillary tube (cm)
- \(m\) :
-
Exponent of pressure dependence suggested in [1]
- \(n\) :
-
Exponent of generalized temperature dependence
- \(P \) :
-
Gas pressure (MPa)
- \(P^{0 }\) :
-
Gas pressure at \(z\) = 1 (MPa)
- \(R \) :
-
Gas constant (\(\mathrm{J}\cdot \mathrm{mol}^{-1}\cdot \mathrm{K}^{-1})\)
- \(S\) :
-
Cross-sectional area of capillary tubes (\(\mathrm{cm}^{2})\)
- \(T, T^{0}\) :
-
Gas temperature (K)
- \(U\) :
-
Velocity of the gas in channel (\(\mathrm{cm}\cdot \mathrm{s}^{-1})\)
- \(V_{i}\) :
-
Molar volume of gas \(i\) at the given temperature \(T\) and pressure \(P\) (\(\mathrm{cm}^{3}\cdot \mathrm{mol}^{-1})\)
- \(x\) :
-
Characteristic linear dimension (cm)
- \(z_{i }\) :
-
Compressibility factor
- \(\upsilon \) :
-
Gas volume flow rate (\(\mathrm{cm}^{3}\cdot \mathrm{s}^{-1})\)
- \(\rho \) :
-
Density of gas (\(\mathrm{g}\cdot \mathrm{cm}^{-3})\)
- \(\eta \) :
-
Viscosity of gas (\(\mathrm{Pa}\cdot \mathrm{s}\))
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Bogatyrev, A.F., Nezovitina, M.A. The Experimental Study of Temperature Dependence of Binary Diffusion Coefficients of Gases at Different Pressures. Int J Thermophys 34, 2065–2075 (2013). https://doi.org/10.1007/s10765-013-1539-3
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DOI: https://doi.org/10.1007/s10765-013-1539-3