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Nonisothermal flow of a rarefied gas in a circular cylindrical channel

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Abstract

Using a method which averages the system of moment equations over the channel section, the authors have obtained expressions for Poiseuille flow and thermal creep flow in a capillary at intermediate Knudsen numbers (Kn⩽0.25).

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Literature cited

  1. K. Cherchin'yanin, Theory and Applications of the Boltzmann Equation [in Russian], Mir, Moscow (1978).

    Google Scholar 

  2. S. K. Loyalka, “Kinetic theory of thermal transpiration and the mechanocaloric effect,” J. Chem. Phys.,55, No. 9, 4497 (1971).

    Google Scholar 

  3. S. K. Loyalka, “Kinetic theory of thermal transpiration and the mechanocaloric effect, 2,” J. Chem. Phys.,63, No. 9, 4054 (1975).

    Google Scholar 

  4. B. T. Porodnov and F. T. Tukhvetov, “Theoretical investigation of nonisothermal flow of a rarefied gas in a cylindrical capillary,” Inzh.-Fiz. Zh.,36., No. 1, 86 (1979).

    Google Scholar 

  5. V. G. Chernyak, V. V. Kalinin, and P. E. Suetin, “Theory of thermomolecular pressure and the mechanocaloric effect in a cylindrical channel,” Inzh.-Fiz. Zh.,37, No. 1, 91 (1979).

    Google Scholar 

  6. V. G. Chernyak, V. V. Kalinin, and P. E. Suetin, “Theory of the nonisothermal motion of a gas in a planar channel,” Inzh.-Fiz. Zh.,36, No. 6, 1059 (1979).

    Google Scholar 

  7. S. K. Loyalka, “Approximate method in the kinetic theory,” Phys. Fluids,14, No. 11, 2291 (1971).

    Google Scholar 

  8. S. K. Loyalka, “The slip problem for a simple gas,” Z. Naturforsch.,26a, 964 (1971).

    Google Scholar 

  9. H. Lang, “Second-order slip effects in Poiseuille flow,” Phys. Fluids,19, No. 3, 366 (1976).

    Google Scholar 

  10. V. M. Zhdanov and V. A. Zabnova, “Nonisothermal flow of a gas mixture in a channel at intermediate Knudsen number,” Zh. Prikl. Mat. Mekh.,45, No. 6, 1063 (1981).

    Google Scholar 

  11. M. N. Kogan, Dynamics of a Rarefied Gas, Plenum Publ.

  12. H. Grad, “On the kinetic theory of rarefied gases,” Commun. Pure Appl. Math.,2, No. 4, 331 (1949) [Mekhanika,4 (14), 71 (1952);5(15), 61 (1952)].

    Google Scholar 

  13. S. Chapman and T. G. Cowling, Mathematical Theory of Non-Uniform Gases, Cambridge Univ. Press (1970).

  14. S. R. De Groot and P. Mazur, Non-equilibrium Thermodynamics, Elsevier (1962).

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 44, No. 5, pp. 772–779, May, 1983.

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Zhdanov, V.M., Zaznoba, V.A. Nonisothermal flow of a rarefied gas in a circular cylindrical channel. Journal of Engineering Physics 44, 524–529 (1983). https://doi.org/10.1007/BF00831939

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  • DOI: https://doi.org/10.1007/BF00831939

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