Asymptotic model of a thin shock layer near wedge/cone for the Burnett equations
Matematičeskoe modelirovanie, Tome 22 (2010) no. 8, pp. 24-32.

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Asymptotic estimates of the order of the two-dimensional Burnett equations members for the hypersonic rarefied gas flow specific regions (layers) in the thin shock layer near surface were made. On the base of this asymptotic analysis, based on physical and theoretical premises, it was formulated a simplified (in accordance with the conception of a thin viscous shock layer) Burnett model of the flow near a non-thin bodies, presented for the surfaces in the form of a wedge/cone.
Keywords: Burnett equations, shock layer, flow near a non-thin bodies.
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A. L. Ankudinov. Asymptotic model of a thin shock layer near wedge/cone for the Burnett equations. Matematičeskoe modelirovanie, Tome 22 (2010) no. 8, pp. 24-32. http://geodesic.mathdoc.fr/item/MM_2010_22_8_a1/

[1] Cheng H. K., The blunt body problem in hypersonic flow at low Reynolds number, IAS Paper No 63–92, 1963

[2] Ankudinov A. L., Raschet vyazkogo giperzvukovogo obtekaniya pri umerennykh chislakh Reinoldsa, Trudy TsAGI, 1106, 1968

[3] Ankudinov A. L., Chislennoe reshenie uravnenii tonkogo vyazkogo udarnogo sloya, Trudy TsAGI, 1845, 1977

[4] Gershbein E. A., Peigin S. V., Tirskii G. A., Sverkhzvukovoe obtekanie pri umerennykh chislakh Reinoldsa, Obzor VINITI, ser. Mekhanika zhidkosti i gaza, 19, 1985

[5] Kuznetsov M. M., Nikolskii V. S., “Kineticheskii analiz giperzvukovykh vyazkikh techenii mnogoatomnogo gaza v trekhmernom udarnom sloe”, Uchenye zapiski TsAGI, 16:3 (1985)

[6] Cheng H. K., “The viscous shock layer problem revisited”, Inter. Conf. Research in Hypersonic Flow Technologies (Sept. 19–21, Zhukovsky, Russia), 1994

[7] Zong X., MacCormack R. W., Chapman D. R., “Stabilization of the Burnett Equations and Application to Hypersonic Flows”, AIAA J., 31:6 (1993)

[8] Kogan M. N., Dinamika razrezhennogo gaza, Nauka, M., 1967 | Zbl

[9] Kheis U. D., Probstin R. F., Teoriya giperzvukovykh techenii, Izd. inostr. lit., M., 1962