Abstract
A numerical investigation has been made of the influence of nonuniformity of a supersonic flow with shock waves on the friction and heat transfer in planar channels. It is shown that for channels with relative length more than four diameters the frictional force applied to the inner walls of the channel and the total heat flux to the wall in the case of a nonuniform supersonic flow at the entrance correspond approximately to the corresponding quantities for the uniform flow that is equivalent to the nonuniform flow as regards the flow rate, energy, and momentum. The calculated values of the momentum loss coefficients for planar channels agree satisfactorily with the experimental data obtained by Ostras' and Penzin [1] for axisym-metric tubes with identical conditions at the entrance.
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V. N. Ostras' and V. I. Penzin, “Experimental investigation of the force acting on the inner surface of a cylindrical tube through which a nonuniform supersonic stream produced by conical nozzles flows,” Uch. Zap. TsAGI,3, 29 (1972).
V. G. Gurylev and N. N. Shkirin, “Heat fluxes in hypersonic air intakes with turbulence generators and blunt nosed central body,” Uch. Zap. TsAGI,9, 24 (1978).
J. H. Keenan and E. P. Neumann, “Measurements of friction in pipe for subsonic and supersonic flow of air,” J. Appl. Mech.,13, 91 (1946).
L. I. Sedov and G. G. Chernyi, “Averaging of nonuniform gas flows in channels,” in: Theoretical Hydrodynamics, No. 4 [in Russian], Collection No. 12, Min. Aviats. Prom., Oborongiz, Moscow (1954), pp. 17–30.
G. N. Abramovich, Applied Gas Dynamics [in Russian], Nauka, Moscow (1969), p. 824.
A. Ya. Cherkez, “On some features of the averaging of parameters in a supersonic gas flow,” Izv. Akad. Nauk SSSR, Mekh. Mashinostr., No. 4, 23 (1962).
S. S. Kutateladze and A. I. Leont'ev, Heat and Mass Transfer and Friction in Turbulent Boundary Layers [in Russian], Energiya, Moscow (1972), p. 207.
A. T. Berlyand and V. A. Frost, “Method of calculating two-dimensional supersonic flows with automatic separation of discontinuities and stepwise approximation of rarefaction waves,” in: Numerical Methods of Continuum Mechanics, Vol. 3, No. 3 [in Russian], Novosibirsk (1972), pp. 3–12.
G. W. Brune, P. E. Rubbert, and T. C. Nark, “New approach to inviscid flow/boundarylayer matching,” AIAA J.,13, 936 (1975).
V. S. Avduevskii, “Method of calculating three-dimensional turbulent boundary layers in compressible gases,” Izv. Akad. Nauk SSSR, Mekh. Mashinostr., No. 4, 3 (1962).
P. N. Romanenko, Heat and Mass Transfer and Friction in the Case of Gradient Flow of Fluids [in Russian], Énergiya, Moscow (1971), p. 568.
E. Y. Repik and V. E. Chekalin, “Convective heat transfer in supersonic conical nozzles,” Inzh. Zh.,2, 359 (1962).
M. D. Salas, “Shock fitting method for complicated two-dimensional supersonic flows,” AIAA J.,14, 583 (1976).
P. K. Chang, Separation of Flow, Pergamon, Oxford (1970).
S. M. Bogdonoff and C. E. Kepler, “Separation of supersonic boundary layer,” J. Aeronautical Sciences,21, 721 (1954).
A. T. Berlyand, “Dependence of the length of the separation region of a turbulent boundary layer on a plate on the flow parameters,” Uch. Zap. TzAGI,2, 101 (1971).
S. L. Vishnevetskii and Z. S. Pakhomova, “Calculation of flow within the channel of an axisymmetric intake,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 164 (1981).
M. S. Holden, “An analytical study of separated flows induced by the shock-wave boundary layer interaction,” (NASA CR N 600), Washington (1966).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 69–74, January–February, 1983.
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Voloshchenko, O.V., Ostras', V.N. & Éismont, V.A. Influence of nonuniformity of supersonic flow with shock waves on the friction and heat transfer in planar channels. Fluid Dyn 18, 53–58 (1983). https://doi.org/10.1007/BF01090509
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DOI: https://doi.org/10.1007/BF01090509