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Concentration-Dependent Diffusion Coefficients of Binary Gas Mixtures Using a Loschmidt Cell with Holographic Interferometry

Part II: Single Experiment

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Abstract

A model-based experimental approach is presented to measure concentration-dependent diffusion coefficients of binary gases from a single experimental run. The diffusion experiments are performed with a Loschmidt cell combined with holographic interferometry that has been improved in Part I of this paper (Wolff et al. in Int. J. Thermophys. 2018, https://doi.org/10.1007/s10765-018-2450-8). Measurements are taken with the system helium–krypton. Besides highly accurate measurements, a highly accurate diffusion model is required to retrieve the weak concentration dependence of the diffusion coefficient. We derive a consistent diffusion model considering real gas effects and the concentration dependence of the diffusion coefficient. The model describes the experimental fringe data with deviations of less than 0.2 interference fringe orders, which corresponds to a relative deviation of 0.17 % indicating high quality of both the experimental data and the employed model. Therefore, the concentration dependence of the helium–krypton diffusion coefficient could be successfully retrieved from a single experiment of mixing pure gases. Thus, the presented approach allows for the efficient characterization of diffusion in gases.

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Acknowledgements

This work was supported by the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG) with Grants BA 2884/7-1 and FR 1709/13-1.

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Author notes

  1. Ludger Wolff and Pouria Zangi contributed equally to this work.

Authors and Affiliations

  1. Institute of Technical Thermodynamics, RWTH Aachen University, 52062, Aachen, Germany

    Ludger Wolff, Thorsten Brands, Hans-Jürgen Koß & André Bardow

  2. Institute of Advanced Optical Technologies - Thermophysical Properties (AOT-TP), Friedrich-Alexander-University Erlangen-Nürnberg (FAU), Paul-Gordan-Straße 6, 91052, Erlangen, Germany

    Pouria Zangi, Michael Heinrich Rausch & Andreas Paul Fröba

Authors
  1. Ludger Wolff
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  2. Pouria Zangi
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  3. Thorsten Brands
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  4. Michael Heinrich Rausch
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  5. Hans-Jürgen Koß
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  6. Andreas Paul Fröba
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  7. André Bardow
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Corresponding authors

Correspondence to Ludger Wolff or André Bardow.

Electronic supplementary material

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Supplementary Materials:

See Supplementary Material for numerical values of diffusion coefficients from our experiments and from literature. (pdf 152KB)

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Wolff, L., Zangi, P., Brands, T. et al. Concentration-Dependent Diffusion Coefficients of Binary Gas Mixtures Using a Loschmidt Cell with Holographic Interferometry. Int J Thermophys 39, 132 (2018). https://doi.org/10.1007/s10765-018-2451-7

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