Abstract
The results of investigations of inviscid flow over inverted cones with nose consisting of a spherical segment were published for the first time in Soviet literature in [1–4]. In the present paper, a numerical solution to this problem is obtained using the improved algorithms of [5, 6], which have proved themselves well in problems of exterior flow over surfaces with positive angles of inclination to the oncoming flow. It is shown that the Mach number 2 ⩽ M∞ ⩽ ∞, equilibrium and nonequilibrium physicochemical transformations in air (H = 60 km, V∞ = 7.4 km/sec, R0 = 1 m), and the angle of attack 0 ⩽ α ⩽ 40° influence the investigated pressure distributions. A comparison of the results of the calculations with drainage experiments for M∞ = 6, α = 0-25° confirms the extended region of applicability of the developed numerical methods. Also proposed is a simple correlation of the dependence on the Mach number in the range 1.5 ≲ M∞ ≲ ∞ of the shape of the shock wave near a sphere in a stream of ideal gas with adiabatic exponent γ = 1.4.
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 178–183, January–February, 1981.
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Antonets, A.V., Marinin, V.P. Calculation of the pressure on the side surface of bodies consisting of a spherical segment joined to an inverted cone in a supersonic stream. Fluid Dyn 16, 146–150 (1981). https://doi.org/10.1007/BF01094831
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DOI: https://doi.org/10.1007/BF01094831