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A case study on the aerodynamic heating of a hypersonic vehicle

Published online by Cambridge University Press:  27 January 2016

M. Mifsud
Affiliation:
School of Engineering, Cranfield University, Bedfordshire, UK
D. Estruch-Samper
Affiliation:
School of Engineering, Cranfield University, Bedfordshire, UK
D. MacManus*
Affiliation:
School of Engineering, Cranfield University, Bedfordshire, UK
R. Chaplin
Affiliation:
School of Engineering, Cranfield University, Bedfordshire, UK
J. Stollery
Affiliation:
School of Engineering, Cranfield University, Bedfordshire, UK

Abstract

A Parabolised Navier-Stokes (PNS) flow solver is used to predict the aerodynamic heating on the surface of a hypersonic vehicle. This case study highlights some of the main heat flux sensitivies to various conditions for a full-scale vehicle and illustrates the use of different complimentary methods in assessing the heat load for a realistic application. Different flight phases of the vehicle are considered, with freestream conditions from Mach 4 to Mach 8 across a range of altitudes. Both laminar and turbulent flows are studied, together with the effect of the isothermal wall temperature, boundary-layer transition location and body incidence. The effect of the Spalart-Allmaras and Baldwin-Lomax turbulent models on the heat transfer distributions is assessed. A rigorous assessment of the computations is conducted through both iterative and grid convergence studies and a supporting experimental investigation is performed on a 1/20th scale model of the vehicle’s forebody for the validation of the numerical results. Good agreement is found between the PNS predictions, measurements and empirical methods for the vehicle forebody. The present PNS approach is shown to provide useful predictions of the heat transfer over the axisymmetric vehicle body. A highly complex flow field is predicted in the fin-body-fin region at the rear of the vehicle characterised by strong interference effects which limit the predictions over this region to a predominately qualitative level.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2012 

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References

1. van Driest, E.R. The problem of aerodynamic heating, Aeronautical Eng Review, October 1956, pp 2641.Google Scholar
2. Ludlow, D.K. IMPNS Theory Guide Cranfield University, 2001a, CoA Report NFP-0112.Google Scholar
3. Ludlow, D.K. IMPNS User’s Manual Cranfield University, 2001b, CoA Report NFP-0113.Google Scholar
4. Vigneron, Y.C., Rakich, J.V. and Tannehill, J.C. Calculation of supersonic viscous flows over delta wings with sharp leading edges, 1978, AIAA Paper 78–1137.Google Scholar
5. Steger, J.L. and Warming, R.F. Flux vector splitting of the Inviscid gas-dynamic equations with applications to finite difference methods, J Computational Physics, 1981, 40, pp 263293.Google Scholar
6. Birch, T., Qin, N. and Jin, X. Computation of supersonic viscous flows around a slender body at incidence, 1994, AIAA Paper 94-1938.Google Scholar
7. Birch, T., Prince, S., Ludlow, D. and Qin, N. The application of a parabolized Navier-Stokes solver to some hypersonic flow problems, 2001, AIAA Paper 2001-1753.Google Scholar
8. Baldwin, B. and Lomax, H. Thin Layer approximation and algebraic model for separated turbulent flow, 1978, AIAA Paper 78-257.Google Scholar
9. Degani, D. AND Schiff, L.B. Computation of turbulent supersonic flows around pointed bodies having cross-flow separation, J Computational Phys, 1986, 66, (3), pp 173196.Google Scholar
10. Qin, N. and Jayatunga, C. Algebraic Turbulence Modelling for Vortical Flows Around Slender Bodies, 1998, NATO RTO-MP-5, Missile Aerodynamics.Google Scholar
11. Spalart, P.R. and Allmaras, S.R. A One-Equation Turbulence Model for Aerodynamic Flow, 1992, AIAA Paper 92-0439.Google Scholar
12. Qin, N. and Ludlow, D.K. A cure for anomalies of Osher and AUSM+ schemes for hypersonic viscous flows around swept cylinders, in Proceedings of the 22nd International Symposium on Shock Waves, Imperial College, London, UK, July 18-23 1999, (Eds: Ball, G.J., Hillier, R. and Roberts, G.T.), pp 635640.Google Scholar
13. Shaw, S. and Qin, N. A matrix-free preconditioned Krylov subspace method for the PNS equations, 1998 AIAA Paper 98-111.Google Scholar
14. Qin, N., Ludlow, D.K., Zhong, B., Shaw, S. and Birch, T.J. Multigrid acceleration of a preconditioned GMRES implicit PNS solver, 1999, AIAA Paper 99-0779.Google Scholar
15. Stetson, K.F. Hypersonic boundary-layer transition, pp 324417, in: Advances in Hypersonics, Volume 1: Defining the Hypersonic Environment, 1992, Bertin, J.J., Glowinski, R. and Periaux, J., Birkhauser, Boston, MA, USA.Google Scholar
16. Roache, P.J. Verification and Validation in Computational Science and Engineering, 1998, Hermosa Publishers.Google Scholar
17. Fay, J.A. and Riddell, F.R. Theory of Stagnation Point Heat Transfer in Dissociated Air, J Aeronautical Sciences, 1958, 25, (2), pp 7385.Google Scholar
18. Schultz, D.L. and Jones, T.V. Heat-transfer measurements in short-duration hypersonic facilities, 1973, AGARD-AG-165.Google Scholar
19. Estruch-Samper, D., MacManus, D.G. Stollery, J.L., Lawson, N.J. and Garry, K.P. Hypersonic interference heating in the vicinity of surface protuberances, Experiments in Fluids, 2010, 49, (3), pp 683–69.Google Scholar
20. Estruch-Samper, D. Hypersonic Interference Aerothermodynamics, PhD Thesis, 2009, Cranfield University.Google Scholar
21. Simmons, J. Measurement techniques in high-enthalpy hypersonic facilities, Exp. Thermal Fluid Science, 1995, 10, (4), pp 454469.Google Scholar
22. Crabtree, L.F., Dommett, R.L. and Woodley, J.G. Estimation of Heat Transfer to Flat Plates, Cones and Blunt Bodies, Royal Aircraft Establishment TR No. 65137.Google Scholar
23. Eckert, E.R.G. Engineering relations for friction and heat transfer to surface in high velocity flow, J Aeronautical Sciences, 1955, 22, (8), pp 585587.Google Scholar
24. White, F. Viscous Fluid Flow, 2005, McGraw Hill, 3rd ed.Google Scholar
25. Naca, Equations, tables and charts for compressible flow, 1953 NACA report 1135.Google Scholar
26. Schlichting, H. Boundary Layer Theory, 1979, 7th ed. McGraw-Hill, NY, USA.Google Scholar
27. Coleman, G.T. and Stollery, J.L. A Study of Hypersonic Boundary Layers Over a Family of Axisymmetric Bodies at Zero Incidence: Preliminary Report and Data Tabulation, 1973, Imperial College of Science and Technology, England, I.C. Aero. Report 73-06.Google Scholar
28. McWherter, M., Noack, R.W. and Oberkampf, W.L. Evaluation of Boundary-Layer and Parabolized Navier-Stokes Solutions for Re-entry Vehicles, J Spacecrafts and Rockets, 1986, 23, (1), pp 7078.Google Scholar
29. Narayanswami, N., Knight, D.D. and Horstman, C.C. Investigation of a hypersonic crossing shock wave/turbulent boundary layer interaction, J Shock Waves, 1993, 3, (1), pp 3548.Google Scholar
30. Hayes, J.R. and Neumann, R.D. Introduction to the Aerodynamic Heating Analysis of Supersonic Missiles, 1992, AIAA Publishing, Washington DC, USA.Google Scholar
31. Kemp, H., Rose, P., Detra, R., Laminar Heat Transfer Around Blunt Bodies in dissociated air, J Aerospace Sciences, 1959, 26, pp 421430.Google Scholar
32. Bertin, J. and Cummings, R. Critical hypersonic aerothermodynamic phenomena, Annual Rev Fluid Mech, 2006, 38, pp 129157.Google Scholar
33. Neumann, R.D. and Hayes, J.R. Aerodynamic heating in the fin interaction region of generalized missile shapes at Mach 6 (Modular missile test program), 1979, AFFDL-TR-79-3066.Google Scholar
34. Kussoy, M.I. and Horstman, K.C. Intersection shock-wave/turbulent boundary-layer interactions at Mach 8.3, 1992, NASA TM 103909.Google Scholar
35. Knight, D. Numerical Simulation of 3-D Shock Wave Turbulent Boundary Layer Interactions, 1993, AGARD Report 792.Google Scholar
36. Price, E.A. and Stallings, R.L. Investigation of turbulent separated flows in the vicinity of fin-type protuberances at supersonic Mach numbers, 1967 NASA TN D-3804.Google Scholar
37. Stollery, J.L. A Special Course on Three-Dimensional Supersonic/Hypersonic Flows including separation, 1989, AGARD Report No. 764.Google Scholar
38. Wang, S.F., Ren, Z.Y. and Wang, Y. Effects of Mach number on turbulent separation behaviours induced by blunt fin. Exp Fluids, 1998, 25, (4), pp 347351.Google Scholar
39. Token, K.H. Heat transfer due to shock wave turbulent boundary layer interactions on high speed weapon systems, 1974 AFFDL-TR-74-77.Google Scholar
40. Giles, H.L. and Thomas, J.W. Analysis of hypersonic pressure and heat transfer tests on a flat plate with a flap and a delta wing with body, elevons, fins, and rudders, 1966, NASA CR-536.Google Scholar
41. Stainback, P.C. and Weinstein, L.M. Aerodynamic heating in the vicinity of corners at hypersonic speeds, 1967, NASA TN D-4130.Google Scholar