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Poiseuille flow and thermal creep in a capillary tube on the basis of the kinetic R-model

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Abstract

Flow of a diatomic rarefied gas in a capillary tube of infinite length and an arbitrary cross-section under a given small pressure gradient (Poiseuille flow) or a small temperature gradient (thermal creep) is studied on the basis of a kinetic model that takes account for the rotational degrees of freedom of molecules (R-model). Numerical investigation is carried out for flows between parallel flat plates and in a circular capillary tube at the gas parameters corresponding to nitrogen. The main calculated quantity is the gas flow rate through a tube cross-section. The results are compared with the corresponding data obtained on the basis of the S-model.

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Authors
  1. V. A. Titarev
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  2. E. M. Shakhov
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Additional information

Original Russian Text © V.A. Titarev, E.M. Shakhov, 2012, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2012, Vol. 47, ^No. 5, pp. 114–125.

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Titarev, V.A., Shakhov, E.M. Poiseuille flow and thermal creep in a capillary tube on the basis of the kinetic R-model. Fluid Dyn 47, 661–672 (2012). https://doi.org/10.1134/S0015462812050146

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  • DOI: https://doi.org/10.1134/S0015462812050146

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