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Experimental Study of Thermal Diffusion in Multicomponent Gaseous Systems

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Abstract

Thermal diffusion factor (TDF) measurements were performed for one quaternary, for four ternary, and for six binary gaseous systems, containing \(\hbox {H}_{2}, \, \hbox {CH}_{4}, \, \hbox {N}_{2}\), and \(\hbox {CO}_{2}\) held under atmospheric pressure and at cold- and hot-chamber temperatures of \(T_{1}\) = 280 K and \(T_{2}\) = 800 K, respectively. For the multicomponent gas mixtures, measurements were made at different values of the mole fraction of the additive. Also, the dependence of the TDF values on the mole fraction of the additive for the multicomponent mixtures was analyzed. A semi-empirical formula to calculate TDF values was proposed; this formula gives results that are in good agreement with experimental data within the respective limits of error.

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Abbreviations

BV:

Ballast vessel

\(K_{ij }\) :

Empirical coefficient

\(k_{Tij} \) :

Thermodiffusion ratio

\(m_{i}\) :

mass of molecular of gas \(i \)(g\(\cdot \)mol\(^{-1})\)

\(p \) :

Gas pressure (MPa)

\(q_{ij}\) :

Separation factor

SD:

Separation device

\(T_{1}, \, T_{2}\) :

Gas temperature of cold and hot areas of gas (K)

TDF:

Thermal diffusion factor

TGP:

Thermal gravitational pump

\(x_{ij}^{\mathrm{bin}}\) :

Mole fraction of component \(i\) in binary \(i-j\) mixture

\(x_i^{\mathrm{mlt}}\) :

Mole fraction of component \(i\) in multicomponent mixture

\(x_{iT}^{\mathrm{mlt}}\) :

Mole fraction of component \(i\) in multicomponent mixture at temperature \(T\)

\(\alpha _{Tij}^{\mathrm{bin}}\) :

Thermal diffusion factor in binary mixture of gases \(i\) and \(j\)

\(\alpha _{Tij}^{\mathrm{mlt}}\) :

Thermal diffusion factor for components \(i\) and \(j\) in multicomponent gas mixture

\(\Delta x_{ij}^{\mathrm{bin}}\) :

Mole fraction change of component \(i\) in binary \(i-j\) mixture

\(\Delta x_i^{\mathrm{mlt}}\) :

Mole fraction change of component \(i\) in multicomponent gas mixture

\(\varepsilon \) :

Relative experimental error (%)

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Acknowledgments

This work was performed with financial support from the Ministry of Education and Science of the Russian Federation.

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Authors and Affiliations

  1. Smolensk Branch of National Research University “Moscow Power Engineering Institute”, 1 Energeticheskij proezd, Smolensk, 214013, Russian Federation

    Alexander Fyodorovich Bogatyrev, Olga Andreevna Makeenkova & Maria Alexandrovna Nezovitina

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  1. Alexander Fyodorovich Bogatyrev
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  2. Olga Andreevna Makeenkova
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  3. Maria Alexandrovna Nezovitina
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Correspondence to Alexander Fyodorovich Bogatyrev.

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Bogatyrev, A.F., Makeenkova, O.A. & Nezovitina, M.A. Experimental Study of Thermal Diffusion in Multicomponent Gaseous Systems. Int J Thermophys 36, 633–647 (2015). https://doi.org/10.1007/s10765-014-1818-7

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