|

Convective Heat Transfer and Friction in a Thin Laminar-Turbulent Boundary Layer on the Permeable Surface of a Blunted Cone of Small Elongation

Authors: Gorskiy V.V., Savvina A.G. Published: 12.12.2022
Published in issue: #4(143)/2022  

DOI: 10.18698/0236-3941-2022-4-33-43

 
Category: Aviation and Rocket-Space Engineering | Chapter: Aerodynamics and Heat Transfer Processes in Aircrafts  
Keywords: сonvective heat transfer, friction, momentum loss thickness, boundary layer

Abstract

Solving the problem of calculating convective heat transfer and friction in the laminar-turbulent boundary layer involves the need for numerical integration of differential equations, supplemented by those or other semiempirical models of apparent turbulent viscosity, which should be validated on the results of experimental studies, carried out in conditions, providing simulation of the gas dynamic picture of body flowing by a gas stream. Unfortunately, at present, there are no literature data on studies of laminar-turbulent heat exchange on the permeable surface of a blunted body, and under these conditions, one has to go by the way of comparing the calculated data with the results of experiments carried out on sharp bodies. Literature sources describe the results of studies carried out for a hemisphere, in which one of the semi-empirical models of apparent turbulent viscosity is used, tested on the results of experiments carried out on the impermeable surface of such shaped body. In this case, it was possible to obtain a physically consistent picture of the influence exerted by blowing gas through the wall on the degree of blocking of the convective heat flow. In the absence of qualitative experimental data on this issue, it seems reasonable to apply in practice the considered semi-empirical model of apparent turbulent viscosity to estimate the degree of blocking of convective heat flow and friction under the specified conditions. This article is devoted to the solution of a similar problem for the lateral surface of a blunted cone

Please cite this article in English as:

Gorskiy V.V., Savvina A.G. Convective heat transfer and friction in a thin laminar-turbulent boundary layer on the permeable surface of a blunted cone of small elongation. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2022, no. 4 (143), pp. 33--43 (in Russ.). DOI: https://doi.org/10.18698/0236-3941-2022-4-33-43

References

[1] Zemlyanskiy B.A., ed. Konvektivnyy teploobmen letatel’nykh apparatov [Convective heat transfer of aircraft]. Moscow, FIZMATLIT Publ., 2014.

[2] Gorskiy V.V., Pugach M.A. Laminar-turbulent heat transfer on hemisphere surface exposed to supersonic air flow. Uchenye zapiski TsAGI, 2014, vol. 45, no. 6, pp. 36--42 (in Russ.).

[3] Gorskiy V.V. Method of numerical solution of two-dimensional laminar-turbulence boundary layer equations on permeable wall of blunt rotation body. Kosmonavtika i raketostroenie [Cosmonautics and Rocket Engineering], 2017, no. 3, pp. 90--98 (in Russ.).

[4] Gorskiy V.V. Teoreticheskie osnovy rascheta ablyatsionnoy teplovoy zashchity [Theoretical basis for calculating ablative heat protection]. Moscow, Nauchnyy mir Publ., 2015.

[5] Cebeci T., Smith A.M.O. Analysis of turbulent boundary layers. New York, Academic Press, 1974.

[6] Uidkhopf Dzh.F., Kholl R. Measurement of heat transfer on the blunted cone at the attack angle in transient and bypass flow state. Raketnaya tekhnika i kosmonavtika, 1972, vol. 10, no. 10, pp. 71--79 (in Russ.).

[7] Widhopf G.F., Hall R. Laminar, transitional and turbulent heat transfer measurement on a yawed blunt conical nosetip. AIAA J., 1972, vol. 10, no. 10. DOI: https://doi.org/10.2514/3.50376

[8] Gorskiy V.V., Loktionova A.G. Modified algebraical Cebeci --- Smith turbulent viscosity model for the entire surface of a blunted cone. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2020, no. 4 (133), pp. 28--41 (in Russ.). DOI: https://doi.org/10.18698/0236-3941-2020-4-28-41

[9] Gorskiy V.V., Loktionova A.G. Heat exchange and friction in a thin air laminar-turbulent boundary layer over a hemisphere surface. Matematicheskoe modelirovanie i chislennye metody [Mathematical Modeling and Computational Methods], 2019, no. 2, pp. 51--67 (in Russ.).

[10] Hirschfelder J.O., Curtiss Ch.F., Bird R.B. Molecular theory of gases and liquids. Wiley, Chapman and Hall, 1954.

[11] Gorskiy V.V., Fedorov S.N. An approach to calculation of the viscosity of dissociated gas mixtures formed from oxygen, nitrogen, and carbon. J. Eng. Phys. Thermophys., 2007, vol. 80, no. 5, pp. 948--953. DOI: https://doi.org/10.1007/s10891-007-0126-5

[12] Gorskiy V.V., Pugach M.A. Estimation of the gas blowing effect on convective heat transfer in laminar and turbulent boundary layers. TsAGI Sc. J., 2016, vol. 47, no. 4, pp. 397--408. DOI: https://doi.org/10.1615/TsAGISciJ.2016018425

[13] Fogaroli R.P., Seyda A.R. Measuring heat transfer and surface friction on a porous cone at air injection into boundary layer at large Mach numbers of the flow. Raketnaya tekhnika i kosmonavtika, 1966, vol. 4, no. 6, pp. 197--199 (in Russ.).

[14] Gorskiy V.V., Loktionova A.G. The methods of calculation of heat transfer blocking degree in laminar-turbulent boundary layer on the surface of blunt cone after blow of gas. Kosmonavtika i raketostroenie [Cosmonautics and Rocket Engineering], 2018, no. 5, pp. 72--78 (in Russ.).

[15] Romanenko P.N. Gidrodinamika i teploobmen v pogranichnom sloe [Hydrodynamics and heat transfer in boundary layer]. Moscow, Energiya Publ., 1974.

[16] Culick F.E.C. The compressible turbulent boundary layer with surface mass transfer. Technical report TR-454. Cambridge, Massachusetts Institute of Technology Naval Supersonic Lab., 1960.