Published January 25, 2022 | Version v1
Software Open

Model, plots and data for rarefied gas flow in straight channels

  • 1. Chemical Process Engineering, Universität Bremen, Leobener Str. 6, 28359 Bremen, Germany

Description

Python code for the model to calculate the mass flow of rarefied gases in straight channels with circular or rectangular cross section, see:

Kunze, S., Groll, R., Besser, B., Thöming, J. (2022). Molecular diameters of rarefied gases. Sci Rep 12, 5871. https://doi.org/10.1038/s41598-022-05871-y

Additionally, code for creating the plots of the publication.

Read the README.txt file for details.

 

References for the literature data in litdata.zip:

ewart07.csv:
Ewart, T., Perrier, P., Graur, I., Méolans, J. (2007). Mass flow rate measurements in a microchannel, from hydrodynamic
to near free molecular regimes. Journal of Fluid Mechanics  584(), 337. https://dx.doi.org/10.1017/s0022112007006374

graur09_rect_ar.csv; graur09_rect_he.csv; graur09_rect_n2.csv:
Graur, I., Perrier, P., Ghozlani, W., Méolans, J. (2009). Measurements of tangential momentum accommodation coefficient for
various gases in plane microchannel. Physics of Fluids  21(10), 102004. https://dx.doi.org/10.1063/1.3253696

knudsen09.csv:
Knudsen, M. (1909). Die Gesetze der Molekularströmung und der inneren Reibungsströmung der Gase durch Röhren. Annalen der Physik  333(1), 75-130. https://dx.doi.org/10.1002/andp.19093330106
"Roehre Nr. 4"

perrier11_circ_Ar.csv; perrier11_circ_He.csv; perrier11_circ_N2.csv:
Perrier, P., Graur, I., Ewart, T., Méolans, J. (2011). Mass flow rate measurements in microtubes: From hydrodynamic to near free molecular regime. Physics of Fluids  23(4), 042004. https://dx.doi.org/10.1063/1.3562948

varoutis09.csv:
Varoutis, S., Naris, S., Hauer, V., Day, C., Valougeorgis, D. (2009). Computational and experimental study of gas flows through long channels of various cross sections in the whole range of the Knudsen number. Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films  27(1), 89-100. https://dx.doi.org/10.1116/1.3043463
(circular tubes)

Notes

This work was supported by German Research Foundation Grants TH 893/18–1 and TH 893/22-1.

Files

litdata.zip

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Additional details

Related works

Is supplement to
Journal article: 10.1038/s41598-022-05871-y (DOI)

References

  • Kunze, S., Groll, R., Besser, B., Thöming, J. (2022). Molecular diameters of rarefied gases. Sci Rep 12, 5871. https://doi.org/10.1038/s41598-022-05871-y
  • Ewart, T., Perrier, P., Graur, I., Méolans, J. (2007). Mass flow rate measurements in a microchannel, from hydrodynamic to near free molecular regimes Journal of Fluid Mechanics 584(), 337. https://dx.doi.org/10.1017/s0022112007006374
  • Graur, I., Perrier, P., Ghozlani, W., Méolans, J. (2009). Measurements of tangential momentum accommodation coefficient for various gases in plane microchannel Physics of Fluids 21(10), 102004. https://dx.doi.org/10.1063/1.3253696
  • Knudsen, M. (1909). Die Gesetze der Molekularströmung und der inneren Reibungsströmung der Gase durch Röhren Annalen der Physik 333(1), 75-130. https://dx.doi.org/10.1002/andp.19093330106
  • Perrier, P., Graur, I., Ewart, T., Méolans, J. (2011). Mass flow rate measurements in microtubes: From hydrodynamic to near free molecular regime Physics of Fluids 23(4), 042004. https://dx.doi.org/10.1063/1.3562948
  • Varoutis, S., Naris, S., Hauer, V., Day, C., Valougeorgis, D. (2009). Computational and experimental study of gas flows through long channels of various cross sections in the whole range of the Knudsen number Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films 27(1), 89-100. https://dx.doi.org/10.1116/1.3043463