Abstract—
Supersonic laminar flow past a sphere and a cylinder placed perpendicular to the freestream is investigated on the basis of the numerical solution of the Navier—Stokes equations. The gas is assumed to be perfect, with a constant specific heat ratio, and the surface temperature is fixed and taken to be the same as to the recovery temperature. The calculations are carried out at the Mach number 3 (cylinder) and 5 (sphere) in the Reynolds number range from 1 to 3000. The effect of the boundary slip and no-slip conditions imposed on the body surface on the flow parameters is investigated. Emphasis is placed on the determination of the aerodynamic characteristics. The results obtained are compared with the available experimental and calculated data.
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REFERENCES
G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon Press, Oxford, 1994).
Yu. P. Golovachev, Numerical Simulation of Viscous Gas Flows in Shock Layers (Fizmatlit, Moscow, 1996) [in Russian].
V. A. Bashkin and I. V. Egorov, Numerical Simulation of Viscous Perfect Gas Dynamics (Fizmatlit, Moscow, 2012) [in Russian].
K.-P. Lee, R. N. Gupta, E. V. Zoby, and J. N. Moss, “Hypersonic viscous shock-layer solutions over long slender bodies – part II: low Reynolds number flows,” J. Spacecraft Rockets 27(2), 185–192 (1990).
V. K. Molodtsov, “Numerical calculations of flow past a sphere with account for the boundary slip conditions,” Uch. Zap. TsAGI 10(1), 122–126 (1979).
A. B. Gorshkov, “Heat transfer in supersonic low-Re flow past a sphere and a cylinder,” Fluid Dynamics 36(1), 139—146 (2001).
A. B. Gorshkov, “Calculations of the laminar base heat transfer behind bodies in the shape of slender cones,” Kosmonavtika Raketostroenie No. 11, 13—20 (1997).
S. A. Schaaf and P. L. Chambre, “Flow of rarefied gases,” in: Fundamentals of Gas Dynamics (Ed. by H.W. Emmons) (Princeton Univ. Press, 1958).
M. N. Kogan, Rarefied Gas Dynamics (Plenum, New York, 1961).
Yu. A. Koshmarov and Yu. A. Ryzhov, Applied Rarefied Gas Dynamics (Mashinostroenie, Moscow, 1977).
M. Kinslow and J. L. Potter, “Drag of spheres in rarefied hypervelocity flow,” AIAA J. 1(11), 2467–2473 (1963).
S. S. Fisher, “The effect of rarefaction on impact pressure measurements in supersonic flows,” in: Proc. 13th Intern. Symp. on Rarefied Gas Dynamics. July 1982. Novosibirsk. Vol. 1, Ed. by O.M. Belotserkovskii et al. (Plenum, New York, 1985), p. 461–467.
G. J. Maslach and S. A. Schaaf, “Cylinder drag in the transition from continuum to free-molecule flow,” Phys. Fluids 6(3), 315–321 (1963).
V. N. Gusev, M. N. Kogan, and V. A. Perepukhov, “On the similarity and variation of the aerodynamic characteristics in the transition region at hypersonic flow velocities,” Uch. Zap. TsAGI 1(1), 24–33 (1970).
A. A. Krylov, “Pressure and friction contribution into the sphere drag in a supersonic rarefied-gas flow,” in: Aerodynamics of Rarefied Gases. Issue 9, Ed. by R.G. Barantsev (Leningrad Univ. Press, 1978), pp. 215–223.
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Translated by M. Lebedev
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Gorshkov, A.B. Aerodynamic Characteristics of a Sphere and a Cylinder in a Supersonic Low-Reynolds–Number Flow. Fluid Dyn 55, 689–700 (2020). https://doi.org/10.1134/S0015462820050079
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DOI: https://doi.org/10.1134/S0015462820050079