Abstract
This paper appears to be the first where the multi-temperature shock slip-relations for the thermal and chemical nonequilibrium flows are derived. The derivation is based on analysis of the influences of thermal nonequilibrium and viscous effects on the mass, momentum and emergy flux balance relations at the shock wave. When the relaxation times for all internal energy modes tend to zero, the multi-tmperature shock slip-relations are converted into single-temperature ones for thermal equilibrium flows. The present results can be applied to flow over vehicles of different geometries with or without angles of attack. In addition, the present single-temperature shock slip-relations are compared with those in the literature, and some defects and limitations in the latter are clarified.
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References
Lee JH. Basic governing equations for the flight regimes of aeroassisted orbital transfer vehicles. AIAA Paper 84-1729, 1984
Tang JR, Tao B. Slip-boundary equations for thermal and chemical nonequilibrium flows with surface catalysis. In: Harvey J, Lord G, eds. Rarefield Gas Dynamics. Oxford: Oxford University Press, 1995. 1016–1022
Brown KG. Chemical and thermal nonequilibrium heat transfer analysis for hypervelocity, low Reynolds number flows. AIAA Paper 85-1033, 1985
Shinn JL, Simmonds A L. Comparison of viscous-shock-layer heating analysis with shuttle flight data in slip flow regime. AIAA Paper 84-0226, 1984
Gnoffo PA, Gupta RN, Shinn JL. Conservation equations and physical models for hypersonic air flows in thermal and chemical nonequilibrium. NASA TP-2867, 1989
Rakich JV. A method of characteristics for steady three-dimensional supersonic flow with application to inclined bodies of revolution. NASA TN D-5341, 1969
Кочин НЕ. Векторное Исчисление и Начала Тензорного Исчисления. Москва: Издательство Академии Наук СССР. 1961
Miner EW, Lewis CH. Hypersonic ionizing air viscous shock-layer flows over nonanalytic blunt bodies. NASA CR-2550, 1975
Davis RT. Hypersonic flow of a chemically reacting binary mixture past a blunt body. AIAA Paper 70-805, 1970
Murray AL, Lewis CH. Hypersonic three-dimensional viscous shock-layer flows over blunt bodies.AIAA J, 1978, 16(12): 1279–1286
Swaminathan S, Kim MD, Lewis CH. Nonequilibrium viscous shock-layer flows over blunt sphere-cones at angle of attack.J Spacecraft, 1983, 20(4): 331–338
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The project supported by the National Natural Science Foundation of China and the National Defence Science and Industry Commission of China.
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Jinrong, T. Shock slip-relations for thermal and chemical nonequilibrium flows. Acta Mech Sinica 12, 117–123 (1996). https://doi.org/10.1007/BF02486790
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DOI: https://doi.org/10.1007/BF02486790