Abstract
Based on numerical solution of the Boltzmann equation by direct statistic simulation, the Couette flow with heat transfer is studied in a broad range of ratios of plate temperatures and Mach numbers of a moving plate. Flow regime classification by the form of the dependences of the energy flux and friction stress on the Knudsen number Kn is proposed. These dependences can be simultaneously monotonic and nonmonotonic and have maxima. Situations are possible in which the dependence of the energy flux transferred to a plate on Kn has a minimum, while the dependence of the friction stress is monotonic or even has a maximum. Also, regimes exist in which the dependence of the energy flux on Kn has a maximum, while the dependence of the friction stress is monotonic, and vice versa.
Similar content being viewed by others
References
M. N. Kogan, Rarefied Gas Dynamics (Nauka, Moscow, 1967; Plenum, New York, 1969).
E. M. Shakhov, Fluid Dyn. 4(5), 9 (1969).
A. K. Rebrov and P. A. Skovorodko, in Proceedings of the 20th International Symposium on Rarefied Gas Dynamics, Beijing, China, August 19–23, 1996, Ed. by Ching Shen (Peking University Press, Beijing, China, 1997), p. 215.
P. A. Skovorodko, in Proceedings of the 22nd International Symposium on Rarefied Gas Dynamics, Sydney, Australia, July 9–14, 2000, Ed. by T. J. Bartel and M. A. Gallis (American Institute of Physics, Melville, New York, 2001), p. 182.
A. A. Abramov and A. V. Butkovskii, Fluid Dyn. 45(1), 147 (2010).
V. G. Chernyak and A. F. Polikarpov, JETP 110(1), 147 (2010).
O. M. Belotserkovskii and V. E. Yanitskii, Zh. Vychisl. Mat. Mat. Fiz. 15, 1195 (1975); O. M. Belotserkovskii and V. E. Yanitskii, Zh. Vychisl. Mat. Mat. Fiz. 15, 1553 (1975).
A. A. Abramov, Sov. Phys. Dokl. 28(7), 519 (1983).
A. A. Abramov and N. K. Makashev, Uch. Zap. TsAGI 10(5), 35 (1979).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.A. Abramov, A.V. Butkovskii, 2013, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 143, No. 6, pp. 1202–1208.
Rights and permissions
About this article
Cite this article
Abramov, A.A., Butkovskii, A.V. Couette flow regimes with heat transfer in rarefied gas. J. Exp. Theor. Phys. 116, 1036–1042 (2013). https://doi.org/10.1134/S1063776113050154
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776113050154