Abstract
Flow past sharp-nosed circular cones is investigated for a broad range of freestream Mach numbers M∞>1 and cone half-angles θc at angles of attack from zero to the value at which conical flow breaks down. Several new results are obtained with regard to the position of the Ferri point, the shape of the local supersonic zones and internal shock wave, and the nonmonotonicity of the windward shock slope as a function of the angle of attack. The existence of flow regimes in which the radial velocity on the windward side is directed toward the apex of the cone is demonstrated. The investigation is carried out numerically with relaxation of the solution in a fictitious time coordinate.
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P. Kutler and H. Lomax, “A systematic development of the supersonic flow fields over and behind wings and wing-body configurations using a shock-capturing finite-difference approach,” AIAA Paper No. 99 (1971).
A. P. Bazzhin and I. F. Chelysheva, “Application of the straight-line method to the analysis of flow past conical bodies at large angles of attack,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 3 (1967).
K. M. Babenko, G. P. Voskresenskii, A. N. Lyubimov, and V. V. Rusanov, Three-Dimensional Flow of an Ideal Gas past Smooth Bodies [in Russian], Nauka, Moscow (1964).
P. L Chushkin and V. V. Shchennikov, “Calculation of certain conical flows without axial symmetry,” Inzh.-Fiz. Zh.,3, No. 7 (1960).
B. M. Bulakh, Nonlinear Conical Gas Flows [in Russian], Nauka, Moscow (1970).
V. I. Lapygin, “Calculation of supersonic flow past delta wings by the relaxation method,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 3 (1971).
Yu. M. Lipnitskii, Yu. Ya. Mikhailov, and K. G. Savinov, “Calculation of three-dimensional flows of ideal gas without a plane of symmetry,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 3 (1972).
V. V. Rusanov, “Calculation of the interaction of unsteady shock waves with obstacles,” Zh. Vychislit. Matem. i Matem. Fiz.,1, No. 2 (1961).
A. Ferri, Supersonic Flow around Circular Cones at Large Angles of Attack, NACA Rep.No. 1045 (1951).
V. I. Lapygin and N. A. Ostapenko, “Supersonic flow of a gas past the sheltered side of a conical wing,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 1 (1973).
A. L. Gonor, “Position of the bow shock in the asymmetric flow of a gas past a sharp-nosed body at high supersonic velocity,” Izv. Akad. Nauk SSSR, OTN, Ser. Mekhan. i Mash., No. 5 (1959).
G. G. Chernyi, “Hypersonic flow past wings at large angles of attack,” Dokl. Akad. Nauk SSSR,155, No. 2 (1964).
G. G. Chernyi, “Wings in hypersonic flow,” Prikl. Matem. i Mekhan.,29, No. 5 (1965).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No, 6, pp. 79–84, November–December, 1973.
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Bachmanova, N.S., Lapygin, V.I. & Lipnitskii, Y.M. Supersonic flow past circular cones at large angles of attack. Fluid Dyn 8, 915–919 (1973). https://doi.org/10.1007/BF01014266
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DOI: https://doi.org/10.1007/BF01014266