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Influence of High-Temperature Effects on the Stability of the Wake Behind an Isolated Roughness Element in Hypersonic Flow

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IUTAM Laminar-Turbulent Transition

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 38))

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Abstract

The influence of high-temperature effects on the stability of the wake behind a cuboidal roughness element is presented. Different flow assumptions are considered, including a calorically perfect gas, a thermally perfect gas and a mixture of gases in chemical non-equilibrium. Two-dimensional linear stability (2D-LST) computations are performed along the roughness wake for each of the different flow models and compared. The results show that, in the vicinity of the roughness element, the sinuous perturbation is stabilized by the excitation of the vibrational energy mode, whereas the varicose disturbance presents a strong destabilization. Further downstream, the sinuous instability is found to decay at a slower rate when accounting for vibrational excitation in its modeling, yielding a higher integrated amplification factor than with a calorically perfect gas assumption.

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References

  1. Ruban, A.I., Kravtsova, M.A.: Generation of steady longitudinal vortices in hypersonic boundary layer. J. Fluid Mech. 729, 702–731 (2013)

    Article  MathSciNet  Google Scholar 

  2. Kegerise, M., King, R., Owens, L., Choudhari, M., Norris, A., Li, F., Chang, C.-L.: An experimental and numerical study of roughness-induced instabilities in a Mach 3.5 boundary layer. RTO-AVT-200/RSM-030 29, NATO (2012)

    Google Scholar 

  3. De Tullio, N., Paredes, P., Sandham, N.D., Theofilis, V.: Laminar-turbulent transition induced by a discrete roughness element in a supersonic boundary layer. J. Fluid Mech. 735, 613–646 (2013)

    Article  MathSciNet  Google Scholar 

  4. Choudhari, M., Chang, C.L., Norris, A., Edwards, J.: Wake instabilities behind discrete roughness elements in high speed boundary layers. In: 51st AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Grapevine, Dallas/Ft. Worth Region, USA, 7–10 January 2013, AIAA 2013-0081 (2013)

    Google Scholar 

  5. De Tullio, N., Sandham, N.D.: Influence of boundary-layer disturbances on the instability of a roughness wake in a high-speed boundary layer. J. Fluid Mech. 763, 136–165 (2015)

    Article  MathSciNet  Google Scholar 

  6. Theiss, A., Hein, S.: Investigation on the wake flow instability behind isolated roughness elements on the forebody of a blunt generic re-entry capsule. EUCASS Book Ser. - Adv. Aerosp. Sci. 9, 451–480 (2017)

    Google Scholar 

  7. Groskopf, G., Kloker, M.J.: Instability and transition mechanisms induced by skewed roughness elements in a high-speed laminar boundary layer. J. Fluid Mech. 805, 262–302 (2016)

    Article  MathSciNet  Google Scholar 

  8. Malik, M.R., Anderson, E.C.: Real gas effects on hypersonic boundary-layer stability. Phys. Fluids 803(3), 803–821 (1991)

    Article  Google Scholar 

  9. Stuckert, G., Reed, H.L.: Linear disturbances in hypersonic, chemically reacting shock layers. AIAA J. 32(7), 1384–1393 (1994)

    Article  Google Scholar 

  10. Hudson, M.L., Chokani, N., Candler, G.V.: Linear stability of hypersonic flow in thermochemical non-equilibrium. AIAA J. 35(6), 958–964 (1997)

    Article  Google Scholar 

  11. Johnson, H.B., Seipp, T.G., Candler, G.V.: Numerical study of hypersonic reacting boundary layer transition on cones. Phys. Fluids 10(10), 2676–2685 (1998)

    Article  Google Scholar 

  12. Malik, M.R.: Hypersonic flight transition data analysis using parabolized stability equations with chemistry effects. J. Spacecr. Rocket. 40(3), 332–344 (2003)

    Article  Google Scholar 

  13. Marxen, O., Iaccarino, G., Magin, T.E.: Direct numerical simulations of hypersonic boundary-layer transition with finite-rate chemistry. J. Fluid Mech. 755, 35–49 (2014)

    Article  MathSciNet  Google Scholar 

  14. Bitter, N.P., Shepherd, J.E.: Stability of highly cooled hypervelocity boundary layers. J. Fluid Mech. 778, 586–620 (2015)

    Article  MathSciNet  Google Scholar 

  15. Mortensen, C., Zhong, X.: Real-gas and surface-ablation effects on hypersonic boundary-layer instability over a blunt cone. AIAA J. 54(3), 980–998 (2016)

    Article  Google Scholar 

  16. Miró Miró, F., Beyak, E.S., Mullen, D., Pinna, F., Reed, H.L.: Ionization and dissociation effects on hypersonic boundary-layer stability. In: 31st Congress of the International Council of the Aeronautical Sciences. Belo Horizonte, Brazil (2018)

    Google Scholar 

  17. Miró Miró, F., Beyak, E.S., Pinna, F., Reed, H.L.: High-enthalpy models for boundary-layer stability and transition. Phys. Fluids 31(044101) (2019)

    Google Scholar 

  18. Groskopf, G., Kloker, M.J., Stephani, K.A., Marxen, O., Iaccarino, G.: Hypersonic flows with discrete oblique surface roughness and their stability properties. In: Proceedings of the Summer Program 2010. Center for Turbulence Research, Stanford, CA, USA (2010)

    Google Scholar 

  19. Di Giovanni, A., Stemmer, C.: Roughness-induced crossflow-type instabilities in a hypersonic capsule boundary layer including nonequilibrium. J. Spacecr. Rocket. 56(5), 1409–1423 (2019)

    Article  Google Scholar 

  20. Anderson Jr., J.D.: Hypersonic and High Temperature Gas Dynamics, 2nd edn. American Institute of Aeronautics and Astronautics, Reston VA (2006)

    Book  Google Scholar 

  21. Park, C., Jaffe, R.L., Partridge, H.: Chemical-kinetic parameters of hyperbolic earth entry. J. Thermophys. Heat Transf. 15(1), 76–90 (2001)

    Article  Google Scholar 

  22. Thompson, R.A., Lee, K.-P., Gupta, R.N.: Computer codes for the evaluation of thermodynamic properties, transport properties, and equilibrium constants of an 11-species air model. Technical report TM-102602, NASA (1990)

    Google Scholar 

  23. White, F.M.: Viscous Fluid Flow. McGraw-Hill (1991)

    Google Scholar 

  24. Gupta, R.N., Yos, J.M., Thompson, R.A., Lee, K.-P.: A review of reaction rates and thermodynamic and transport properties for an 11-species air model for chemical and thermal nonequilibrium calculations to 30000K. Technical report RP-1232, NASA (1990)

    Google Scholar 

  25. Wilke, C.R.: A viscosity equation for gas mixtures. J. Chem. Phys. 18(4), 517–519 (1950)

    Article  Google Scholar 

  26. Theofilis, V.: Advances in global linear instability analysis of nonparallel and three-dimensional flows. Prog. Aerosp. Sci. 39(4), 249–315 (2003)

    Article  Google Scholar 

  27. Pinna, F., Groot, K.J.: Automatic derivation of stability equations in arbitrary coordinates and different flow regimes. In: AIAA paper, vol. 2014-2634 (2014)

    Google Scholar 

  28. Pinna, F., Miró Miró, F., Zanus, L., Padilla Montero, I., Demange, S.: Automatic derivation of stability equations and their application to hypersonic and high-enthalpy shear flows. In: International Conference for Flight Vehicles, Aerothermodynamics and Re-entry Missions & Engineering, Monopoli, Italy (2019)

    Google Scholar 

  29. Di Giovanni, A., Stemmer, C.: Cross-flow-type breakdown induced by distributed roughness in the boundary layer of a hypersonic capsule configuration. J. Fluid Mech. 856, 470–503 (2018)

    Article  MathSciNet  Google Scholar 

  30. Groot, K.J., Miró Miró, F., Beyak, E.S., Moyes, A.J., Pinna, F., Reed, H.L.: DEKAF: spectral multi-regime basic-state solver for boundary layer stability. In: AIAA paper, vol. 2018-3380 (2018)

    Google Scholar 

  31. Williams, S.D., Curry, D.M., Chao, D.C., Pham, V.T.: Ablation analysis of the shuttle orbiter oxidation protected reinforced carbon-carbon. J. Thermophys. Heat Transf. 9(3), 478–485 (1995)

    Article  Google Scholar 

  32. Pinna, F.: VESTA toolkit: a software to compute transition and stability of boundary layers. In: 43rd Fluid Dynamics Conference, San Diego, CA, USA, 24–27 June 2013, AIAA 2013-2616 (2013)

    Google Scholar 

  33. Hermanns, M., Hernández, J.A.: Stable high-order finite-difference methods based on non-uniform grid point distributions. Int. J. Numer. Meth. Fluids 56, 233–255 (2008)

    Article  MathSciNet  Google Scholar 

  34. Malik, M.R.: Numerical methods for hypersonic boundary layer stability. J. Comput. Phys. 86(2), 376–413 (1990)

    Article  Google Scholar 

  35. Esposito, A.: Development and analysis of mapping and domain decomposition techniques for compressible shear flow stability calculations. Technical report, VKI SR 2016-16, von Karman Institute for Fluid Dynamics (2016)

    Google Scholar 

  36. Miró Miró, F., Pinna, F.: Linear stability analysis of a hypersonic boundary layer in equilibrium and non-equilibrium. In: AIAA paper, vol. 2017-4518 (2017)

    Google Scholar 

  37. Lehoucq, R.B., Sorensen, D.C.: Deflation techniques for an implicitly restarted Arnoldi iteration. SIAM J. Matrix Anal. A 17(4), 789–821 (1996)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

This work is part of a project that has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 675008. It was also partially funded by the Belgian National Fund for Scientific Research (FNRS) through the FRIA fellowship.

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Authors and Affiliations

  1. von Karman Institute for Fluid Dynamics, Chaussée de Waterloo 72, 1640, Rhode-Saint-Genèse, Belgium

    Iván Padilla Montero, Fernando Miró Miró & Fabio Pinna

Authors
  1. Iván Padilla Montero
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  2. Fernando Miró Miró
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  3. Fabio Pinna
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Correspondence to Iván Padilla Montero .

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Editors and Affiliations

  1. Imperial College London, London, UK

    Spencer Sherwin

  2. Imperial College London, London, UK

    Peter Schmid

  3. Imperial College London, London, UK

    Xuesong Wu

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Padilla Montero, I., Miró Miró, F., Pinna, F. (2022). Influence of High-Temperature Effects on the Stability of the Wake Behind an Isolated Roughness Element in Hypersonic Flow. In: Sherwin, S., Schmid, P., Wu, X. (eds) IUTAM Laminar-Turbulent Transition. IUTAM Bookseries, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-030-67902-6_55

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  • DOI: https://doi.org/10.1007/978-3-030-67902-6_55

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  • Print ISBN: 978-3-030-67901-9

  • Online ISBN: 978-3-030-67902-6

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