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A rapid approach to convective aeroheating prediction of hypersonic vehicles

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Abstract

A rapid approach to hypersonic aeroheating predictions in the stagnation region and downstream is developed in the present paper. The engineering method is used to calculate inviscid hypersonic flowfields to reduce time cost, and a combination of the mass flow balance technique and the axisymmetric analog is proposed to account for the entropy swallowing effects. A three-dimensional linear method is derived to fit the vehicle surface flowfields. Then a new axisymmetric analog method based on linear flowfields and linear surface equations is developed, with the complexity and computational cost reduced dramatically. In the stagnation region, an implicit surface fitting is introduced to approximate the primary curvatures and a robust aeroheating prediction method is constructed. The proposed approach is verified on a variety of configurations including spherically blunted cone, double ellipsoid and aerospace vehicle. Numerical results indicate the followings: 1) The approach predicts aeroheating in about one second and the results agree well with CFD simulations and wind-tunnel measurements; 2) with the help of entropy correction, the precision is further improved in the streamline diverging regions on the vehicle surface, while little improvement is found after entropy correction in the regions where the streamlines do not diverge.

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References

  1. DeJarnette F R, Hamilton H H, Weilmuenster K J. A review of some approximate methods used in aerodynamic heating analyses. J Thermophys, 1987, 1: 5–12

    Article  Google Scholar 

  2. Michael E T. A Review of High-Speed Convective, Heat-Transfer Computation Methods, TP 2914. Moffett Field: NASA, 1989

    Google Scholar 

  3. Gao Y Y, He F, Shen M Y. Aerodynamic airfoil design using the Euler equations based on the dynamic evolution method and the control theory. Sci China Phys Mech Astron, 2011, 54: 697–702

    Article  Google Scholar 

  4. Li Z H, Peng A P, Zhang H X, et al. Numerical study on the gas-kinetic high-order schemes for solving Boltzmann model equation. Sci China Phys Mech Astron, 2011, 54: 1687–1701

    Article  Google Scholar 

  5. Cooke J C. An Axially Symmetric Analogue for General Three-Dimensional Boundary Layers. London: Ministry of Aviation, 1961

    Google Scholar 

  6. Dejarnette F R, Hamilton H H. Inviscid surface streamlines and heat transfer on shuttle-type configurations. J Spacecraft, 1973, 10: 314–321

    Article  Google Scholar 

  7. Hamilton H H, Dejarnette F R. Application of axisymmetric analog for calculating heating in three-dimensional flows. J Spacecraft, 1987, 24: 296–302

    Article  Google Scholar 

  8. Zoby E V, Moss J N, Sutton K. Approximate convective-heating equations for hypersonic flows. J Spacecraft Rockets, 1981, 18: 64–70

    Article  Google Scholar 

  9. Wang K C. An Axisymmetric Analog Two-Layer Convective Heating Procedure with Application to the Evaluation of Space Shuttle Orbiter Wing Leading Edge and Windward Surface Heating. Houston: LESC, 1994

    Google Scholar 

  10. Hamilton H H, Greenet F A, DeJarnette F R. Approximate method for calculating heating rates on three-dimensional vehicles. J Spacecraft Rockets, 1994, 31: 345–354

    Article  Google Scholar 

  11. Thompson R A, Hamilton H H, Berry S A. Hypersonic boundary layer transition for X-33 phase II vehicle. AIAA 1998-867

  12. Riley C J, Kleb W L, Alter S J. Aeroheating predictions for X-34 using an inviscid boundary-layer method. J Spacecraft Rockets, 1999, 36: 206–215

    Article  Google Scholar 

  13. Zoby E V, Thompson R A, Wurster K E. Aeroheating design issues for reusable launch vehicles: A perspective. AIAA 2004-2535

  14. Dyakonov A A, Dejarnette F R. Streamlines and aerodynamic heating for unstructured grids on high speed vehicles. AIAA 2003-151

  15. Hamilton H H, Weilmuenster K J, Dejarnette F R. Improved approximate method for computing convective heating on hypersonic vehicles using un-structured grids. AIAA 2006-3394

  16. Dejarnette F R, Hamilton H H, Weilmuenster K J. New method for computing convective heating in stagnation region of hypersonic vehicle. AIAA 2008-1261

  17. Hamilton H H, Weilmuenster K J, DeJarnette F R. Approximate method for computing laminar and turbulent convective heating on hypersonic vehicles using unstructured grids. AIAA 2009-4310

  18. Hamilton H H, Weilmuenste K J, Dejarnette F R, et al. Approximate method for computing the effect of a finite catalytic wall on laminar heating rates in an equilibrium-air flowfield. AIAA 2012-535

  19. Kang H L, Yan C, Li T H, et al. Numerical study of aeroheating predictions for hypersonic reentry bodies (in Chinese). J Beijing Univ Aeron Astron, 2006, 32: 1395–1398

    Google Scholar 

  20. Tang H R. Approximate Method for the Prediction of Heating Rates on the Surface of Aircraft in Hypersonic Flows (in Chinese). Dissertation of Masteral Degree. Nanjing: Nanjing Univ Aero Astron, 2008

    Google Scholar 

  21. Jiang Y D, Dong W, Chen Y. Surface heat flux calculation of variable entropy flow for hypersonic blunt bodies (in Chinese). J Aerospace Power, 2008, 23: 1591–1594

    Google Scholar 

  22. Anderson J D Jr. Hypersonic and High Temperature Gas Dynamics. New York: McCraw-Hill Book Company, 1989

    Google Scholar 

  23. Zhao J S, Scholz P, Gu L X. Windtunnel studies of surface shear stress vector distribution measurement using shear sensitive liquid crystal coatings. Sci China Tech Sci, 2011, 54: 2730–2734

    Article  Google Scholar 

  24. Dejarnette F R, Hamilton H H. Aerodynamic heating on 3-D bodies including the effects of entropy-layer swallowing. J Spacecraft, 1975, 12: 5–12

    Article  Google Scholar 

  25. Christopher J R. An Engineering Method for Interactive Inviscid Boundary Layers in Three-Dimensional Hypersonic Flows. Dissertation of Doctoral Degree. Raleigh: NC State Univ, 1992

    Google Scholar 

  26. Kemp N H, Rose P H, Detra R W. Laminar heat transfer around blunt bodies in dissociated air. J Aerosp Sci, 1959, 26: 421–430

    Article  MATH  Google Scholar 

  27. Kindlmann G, Whitaker R, Tasdizen T, et al. Curvature-based transfer functions for direct volume rendering: Methods and applications. In: Proceedings of IEEE Visualization. Seattle: IEEE, 2003. 513–520

    Google Scholar 

  28. Reshotko E. Heat transfer to a general three-dimensional stagnation point. Jet Propul, 1958, 28: 58–60

    Google Scholar 

  29. He L X, Zhang L P, Zhang H X. A finite element/finite volume mixed solver on hybrid grids (in Chinese). Chin J Theroret Appl Mech, 2007, 39: 15–22

    MathSciNet  Google Scholar 

  30. Mao M L, Jiang D W, Deng X G. Study of hybrid scheme for the prediction of aerodynamic heat transfer-rate in hypersonic laminar flow (in Chinese). Acta Aerodynamica Sinica, 2009, 27: 275–281

    Google Scholar 

  31. Li S X. Hypersonic Flow Characteristics of Typical Configurations (in Chinese). Beijing: National Defense Industry Press, 2007

    Google Scholar 

  32. Greene F A, Buck G M, Wood W A. Measured and computed hypersonic aerodynamic/aero-heating characteristics for an elliptically blunted flared cylinder. AIAA 2001-0562

  33. Fan M, Cao W, Fang X J. Prediction of hypersonic boundary layer transition with variable specific heat on plane flow. Sci China Phys Mech Astron, 2011, 54: 2064–2070

    Article  Google Scholar 

  34. Su C H. The reliability of the improved e (N) method for the transition prediction of boundary layers on a flat plate. Sci China Phys Mech Astron, 2012, 55: 837–843

    Article  Google Scholar 

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Correspondence to JiSong Zhao.

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Zhao, J., Gu, L. & Ma, H. A rapid approach to convective aeroheating prediction of hypersonic vehicles. Sci. China Technol. Sci. 56, 2010–2024 (2013). https://doi.org/10.1007/s11431-013-5258-6

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  • DOI: https://doi.org/10.1007/s11431-013-5258-6

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