Waverider Surface Heating Estimation by Effective Length Technique




The study is devoted to the investigation of applying the approximate effective length method to solving the problem of the waverider convective heating determining. The re-sults obtained are in satisfactory agreement with the experimental data. At the same time, it is shown that the heat flux essentially depends on the features of the mentioned meth-od implementation.

waveriders, convective heating, effective length, streamlines, surface curvature


Volume 22, issue 6, 2021 year


Оценка конвективного нагрева поверхности волнолета с использованием метода эффективной длины

В данной работе исследуется возможность применения приближенного метода эффективной длины к решению задачи определения конвективного нагрева поверхности пространственной конфигурации высокоскоростного летательного аппарата – волнолета. Полученные результаты находятся в удовлетворительном согласии с экспериментальными данными. При этом показано, что тепловой поток существенно зависит от особенностей реализации упомянутого метода.

волнолет, конвективный тепловой поток, эффективная длина, линия тока, радиус кривизны


Volume 22, issue 6, 2021 year



1. Lees, L. (1956). Laminar Heat Transfer Over Blunt-Nosed Bodies at Hypersonic Flight Speeds. Journal of Jet Propulsion, 26(4), 259–269. https://doi:10.2514/8.6977
2. Avduevskij V. S. i dr. Osnovy teploperedachi v aviacionnoj i raketno-kosmicheskoj tekh-nike //M.: Mashinostroenie. – 1992. – T. 528.
3. Zemlyanskij B. A. i dr. Konvektivnyj teploobmen letatel'nyh apparatov. – 2014.
4. Hamilton H., Weilmuenster J., DeJarnette F. Improved approximate method for computing convective heating on hypersonic vehicles using unstructured grids // 9th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, AIAA Paper 2006-3394. – 2006. – С. 3394.
5. Hamilton H. H., Weilmuenster K. J., DeJarnette F. Approximate method for computing lami-nar and turbulent convective heating on hypersonic vehicles using unstructured grids //41st AIAA thermophysics conference, AIAA Paper 2009-4310 . – 2009. – С. 4310.
6. Zhao J., Li S. Improved approximate method for computing convective heating on hyperson-ic vehicles // Journal of Aerospace Engineering. – 2018. – Т. 31. – №. 5. – С. 04018051.
7. Zhurin S. V. Metodika chislennogo modelirovaniya konvektivnogo teploobmena na telah slozhnoj formy s ispol'zovaniem metoda effektivnoj dliny: dis. – ,MFTI,–M, 2009.
8. Kuzenov V., Dikalyuk A. The realization of an approximate method for cal-culating convec-tive heat transfer near the surface of a GLA of a complex geometric shape//Physical-Chemical Kinetics in Gas Dynamics. 2017. V.18, iss. 2. http://chemphys.edu.ru/issues/2017-18-2/articles/689
9. Drayna T., Nompelis I., Candler G. Numerical Simulation of the AEDC Waverider at Mach 8 //25th AIAA Aerodynamic Measurement Technology and Ground Testing Conference, AIAA Paper 2006-2816. – 2006. – С. 2816.
10. Kammeyer M. E., Gillum M. J. Design Validation Tests on a Realistic Hypersonic Waverider at Mach 10, 14, and 16.5 in the Naval Surface Warfare Center Hypervelocity Wind Tunnel No. 9. – NAVAL SURFACE WARFARE CENTER DAHLGREN DIV SILVER SPRING MD, 1994.
11. Liu T., Campbell B., Sullivan J. Remote surface temperature and heat transfer mapping for a waverider model at Mach 10 using fluorescent paint // 25th Plasmadynamics and Lasers Con-ference, AIAA 94-2484. – 1994. – С. 2484.
12. Liu T. et al. Heat transfer measurement on a waverider at Mach 10 using fluorescent paint //Journal of Thermophysics and Heat transfer. – 1995. – Т. 9. – №. 4. – С. 605-611.
13. Norris J. Mach 8 high Reynolds number static stability capability extension using a hyperson-ic waverider at AEDC tunnel 9 // 25th AIAA Aerodynamic Measurement Technology and Ground Testing Conference. – 2006. – С. 2815.
14. Yatsukhno D. Computational Study of the Different Waverider Configurations Aerodynam-ics//Physical-Chemical Kinetics in Gas Dynamics. 2020. V.21, iss. 1. http://chemphys.edu.ru/issues/2020-21-1/articles/881/
15. Surzhikov S.T. Validation of computational code UST3D by the example of experimental aerodynamic data // Journal of Physics: Conference Series. 2017. Vol. 815. No 12023 https://doi.org/10.1088/1742-6596/815/1/012023
16. Surzhikov S.T. Comparative Analysis of the Results of Aerodynamic Calculation of a Spher-ical Blunted Cone on a Structured and Unstructured Grid // Journal of Physics: Conference Series. 2019. Vol. 1250. No 012007 https://doi.org/10.1088/1742-6596/1250/1/012007
17. Yatsukhno, D. S, Surzhikov, S. T., Herald of the Bauman Moscow State Technical Universi-ty: Mechanical Engineering, No. 1, 2018, pp. 20−33.
18. Silvestrov P., Surzhikov S. Calculation of aerothermodynamics for high-speed aircraft X-43 using computer code UST3D and UST3D-AUSMPW//Physical-Chemical Kinetics in Gas Dy-namics. 2019. V.20, iss. 4. http://chemphys.edu.ru/issues/2019-20-4/articles/865/
19. Surzhikov S. Numerical Interpretation of Experimental Data on Aerodynamics of the HB-2 Model Using Computer Codes USTFEN and PERAT-3D // Physical-Chemical Kinetics in Gas Dynamics. 2020. V.21, iss. 1. http://chemphys.edu.ru/issues/2020-21-1/articles/900/
20. Shon S., Lee S., Lee K. Smooth cutting pattern generation technique for membrane structures using geodesic line on subplane and spline interpolation // Journal of Central South Universi-ty. – 2013. – Т. 20. – №. 11. – С. 3131-3141.
21. Grigor'ev Yu.N., Vshivkov V.A., Fedoruk M.P. Chislennoe modelirovanie metodami chastic v yachejkah Ros. akad. nauk, Sib. Otd-nie, In-t vych. tekhnologij, Novosib. gos. un-t. – No-vosi-birsk: Izd-vo SO RAN, 2004. – 360 s.
22. Gatzke T. D., Grimm C. M. Estimating curvature on triangular meshes //International journal of shape modeling. – 2006. – Т. 12. – №. 01. – С. 1-28.
23. Rusinkiewicz S. Estimating curvatures and their derivatives on triangle meshes //Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004. – IEEE, 2004. – С. 486-493.
24. Petitjean S. A survey of methods for recovering quadrics in triangle meshes //ACM Compu-ting Surveys (CSUR). – 2002. – Т. 34. – №. 2. – С. 211-262.
25. Theisel H. et al. Normal based estimation of the curvature tensor for triangular meshes //12th Pacific Conference on Computer Graphics and Applications, 2004. PG 2004. Proceedings. – IEEE, 2004. – С. 288-297.