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
K. Cherchin'yanin, Theory and Applications of the Boltzmann Equation [in Russian], Mir, Moscow (1978).
S. K. Loyalka, “Kinetic theory of thermal transpiration and the mechanocaloric effect,” J. Chem. Phys.,55, No. 9, 4497 (1971).
S. K. Loyalka, “Kinetic theory of thermal transpiration and the mechanocaloric effect, 2,” J. Chem. Phys.,63, No. 9, 4054 (1975).
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).
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).
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).
S. K. Loyalka, “Approximate method in the kinetic theory,” Phys. Fluids,14, No. 11, 2291 (1971).
S. K. Loyalka, “The slip problem for a simple gas,” Z. Naturforsch.,26a, 964 (1971).
H. Lang, “Second-order slip effects in Poiseuille flow,” Phys. Fluids,19, No. 3, 366 (1976).
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).
M. N. Kogan, Dynamics of a Rarefied Gas, Plenum Publ.
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)].
S. Chapman and T. G. Cowling, Mathematical Theory of Non-Uniform Gases, Cambridge Univ. Press (1970).
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