The authors have carried out investigations of results of systematic numerical solutions to equations of a twodimensional laminar-turbulent boundary layer on the surface of a hemisphere using the Cebeci–Smith algebraic turbulence model [1] modified in [2, 3]. From these investigations, the authors have proposed a novel engineering method of calculation of convective heat transfer, which is based on the use of approximation formulas to calculate the enhancement of convective heat transfer due to turbulent pulsations of the gas in the boundary layer. A comparison has been made of the calculated data corresponding to the employment of this method and analogous data obtained within the framework of formulas of considerable practical use from [4].
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References
T. Cebeci and A. M. O. Smith, Analysis of Turbulent Boundary Layers, Academic Press, New York (1974).
V. V. Gorskii and M. A. Pugach, Comparison of calculated and experimental data on laminar-turbulent heat transfer on the surface of the hemisphere in supersonic air flow, Teplofiz. Vys. Temp., 53, No. 2, 231−235 (2015).
V. V. Gorskii and M. A. Pugach, Laminar-turbulent heat transfer on the surface of the hemisphere in supersonic air flow, Uch. Zap. TsAGI, XLV, No. 6, 36−42 (2014).
B. A. Zemlyanskii, V. V. Lunev, V. I. Vlasov, et al., Convective Heat Transfer of Rocket- and Space-Technology Products [in Russian], Fizmatlit, Moscow (2014).
V. A. Aleksin, Simulation of turbulent compressible wall flows, in: G. A. Tirskii (Ed.), Hypersonic Aerodynamics and Heat Transfer of Reentry Modules and Planetary Probes [in Russian], Fizmatlit, Moscow (2011), p. 458.
V. S. Avduevskii, B. M. Galitseiskii, G. A. Glebov, et al., in: V. K. Koshkin (Ed.), Fundamentals of Heat Transfer in Aviation and Rocket and Space Engineering [in Russian], Mashinostroenie, Moscow (1975).
G. F. Widhopf and R. Hall, Transitional and turbulent heat transfer measurement on a yawed blunt conical nosetip, Raketn. Tekh. Kosmonavtika, 10, No. 10, 71 (1972).
J. O. Hirschfelder, Ch. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids [Russian translation], IL, Moscow (1961).
V. V. Gorskii and S. N. Fedorov, An approach to calculation of the viscosity of dissociated gas mixtures formed from oxygen, nitrogen, and carbon, J. Eng. Phys. Thermophys., 80, No. 5, 97−101 (2007).
V. V. Gorskii, Spline-approximation method, Zh. Vych. Mat. Mat. Fiz., 47, No. 6, 939−943 (2007).
J. A. Fay and F. Riddell, Theory of stagnation point heat transfer in dissociated air, in: Problems of Motion of the Nose Cone of Long-Range Missiles [Russian translation], IL, Moscow (1959), p. 217.
R. A. Safarov and G. A. Tirskii, Application of phenomenological models to investigation of turbulent boundary layers of homogeneous and inhomogeneous gases, in: Turbulent Flows [in Russian], Nauka, Moscow (1977), p. 42.
B. A. Zemlyanskii and G. N. Stepanov, On calculation of heat transfer in the case of spatial hypersonic-air flow past blunt-nose cones, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 173−177 (1981).
V. V. Lunev, Flow of Real Gases with Great Velocities [in Russian], Fizmatlit, Moscow (2007).
Yu. V. Linnik, Least-Squares Method [in Russian], Énergiya, Moscow (1976).
M. Aoki, Introduction to Optimization Techniques: Fundamentals and Applications of Nonlinear Programming [Russian translation], Nauka, Moscow (1977).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 91, No. 5, pp. 1383–1391, September–October, 2018.
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Gorskii, V.V., Koval’skii, M.G. & Pugach, M.A. Novel Engineering Method of Calculation of Heat Transfer in a Laminar-Turbulent Boundary Layer. J Eng Phys Thermophy 91, 1313–1321 (2018). https://doi.org/10.1007/s10891-018-1863-3
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DOI: https://doi.org/10.1007/s10891-018-1863-3