Skip to main content
Log in

Duplication of hypersonic stagnation-region aerothermochemistry and gas-surface interaction in high-enthalpy ground testing

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

Testing thermal protection system materials in ground-based facilities, such as plasma wind tunnels, is a key step in the development of entry vehicles. The Local Heat Transfer Simulation methodology offers a systematic approach to identify, from a set of flight conditions such as altitude, velocity and vehicle size, the proper aerothermochemical testing environment to correctly reproduce the boundary layer near the stagnation point of the entry vehicle. Eventually, such a duplication ensures that the aerothermochemical flow characteristics of a hypersonic flight are correctly simulated during the ground testing of a material sample. The present work deals with the verification of the applicability of this methodology in the case of ablative-material testing, considering that the stagnation region could be significantly affected by the surface phenomena and the bulk mass injection. The performed theoretical analysis shows that the methodology can still be applied without any modifications to investigate the response of ablative thermal protection materials in a hypersonic environment. A numerical experiment is carried out which confirms these results, showing that the Local Heat Transfer Simulation methodology allows achieving in a ground-testing facility the complete duplication of the flight boundary-layer quantities near the stagnation region of the thermal protection material, regardless the specific gas-surface interaction mechanisms for the material under consideration.

Graphic abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Notes

  1. The location \(y={\mathrm {s}}\) obviously corresponds to \(y={\mathrm {w}}\). The subscript “\({\mathrm {s}}\)” is used only to simplify the notation when referring to the stagnation-point condition of the external (inviscid) flow.

  2. The coordinate \(\eta \) is defined by the Howarth-Mangler transformations and it is proportional to the distance from the stagnation point: \(\eta _{\mathrm {w}}=0 \,\,\text{ corresponds to }\,\, y={\mathrm {w}}\) in our notation.

References

  • Barbante P, Chazot O (2006) Flight extrapolation of plasma wind tunnel stagnation region flowfield. J Thermophys Heat Trans 20(3):493–499. https://doi.org/10.2514/1.17185

    Article  Google Scholar 

  • Barbante PF (2001) Accurate and efficient modelling of high temperature nonequilibrium air flows. PhD thesis, Université Libre de Bruxelles, Brussels, Belgium

  • Bellas Chatzigeorgis G, Turchi A, Viladegut A, Chazot O, Barbante PF, Magin T (2017) Development of catalytic and ablative gas-surface interaction models for the simulation of reacting gas mixtures. In: 23rd AIAA Computational Fluid Dynamics Conference. https://doi.org/10.2514/6.2017-4499

  • Chazot O, Régnier R, Garcia Munoz A (2004) Simulation methodology in plasmatron facility and hypersonic wind tunnels. In: 12th International Conference on Method of Aerophysical Research, Akademgorodok, Novosibirsk, Russia

  • De Fillipis F, Serpico M (1996) Air high enthalpy stagnation point heat flux calculation. Tech. note, CIRA TN 96-014

  • Deissler RG (1955) Analysis of turbulent heat transfer, mass transfer, and friction in smooth tubes at high Prandtl and Schmidt numbers. NACA Report 1210

  • Dias B, Turchi A, Stern EC, Magin TE (2020) A model for meteoroid ablation including melting and vaporization. Icarus 345:113710. https://doi.org/10.1016/j.icarus.2020.113710

  • Evans H (1962) Mass transfer through laminar boundary layers-7. further similar solutions to the b-equation for the case b= 0. Int J Heat Mass Tran 5(1):35–57. https://doi.org/10.1016/0017-9310(62)90100-X

  • Fay JA, Riddell FR (1958) Theory of stagnation point heat transfer in dissociated air. J Aeronaut Sci 25(2):73–85. https://doi.org/10.2514/8.7517

    MathSciNet  Google Scholar 

  • Goulard R (1958) On catalytic recombination rates in hypersonic stagnation heat transfer. J Jet Propulsion 28(11):737–745. https://doi.org/10.2514/8.7444

    Article  Google Scholar 

  • Helber B, Chazot O, Hubin A, Magin TE (2015) Microstructure and gas-surface interaction studies of a low-density carbon-bonded carbon fiber composite in atmospheric entry plasmas. Compos A Appl Sci Manuf 72:96–107. https://doi.org/10.1016/j.compositesa.2015.02.004

    Article  Google Scholar 

  • Helber B, Turchi A, Scoggins JB, Hubin A, Magin TE (2016) Experimental investigation of ablation and pyrolysis processes of carbon-phenolic ablators in atmospheric entry plasmas. Int J Heat Mass Trans 100:810–824. https://doi.org/10.1016/j.ijheatmasstransfer.2016.04.072

    Article  Google Scholar 

  • Helber B, Turchi A, Magin TE (2017) Determination of active nitridation reaction efficiency of graphite in inductively coupled plasma flows. Carbon 125:582–594. https://doi.org/10.1016/j.carbon.2017.09.081

    Article  Google Scholar 

  • Horton T, Babineaux T (1967) Influence of atmosphere composition on hypersonic stagnation-point convective heating. AIAA J 5(1):36–43. https://doi.org/10.2514/3.3904

  • Klomfass A, Müller S (1997) Calculation of stagnation streamline quantities in hypersonic blunt body flows. Shock Waves 7(1):13–23. https://doi.org/10.1007/s001930050057

    Article  MATH  Google Scholar 

  • Kolesnikov AF (2000) The concept of local simulation for stagnation point heat transfer in hypersonic flows: applications and validation. In: 21st AIAA aerodynamic measurement technology and ground testing conference, AIAA Paper 2000–2515. https://doi.org/10.2514/6.2000-2515

  • Lees L (1956) Laminar heat transfer over blunt-nosed bodies at hypersonic flight speeds. J Jet Propulsion 26(4):259–269. https://doi.org/10.2514/8.6977

    Article  Google Scholar 

  • Magin TE, Degrez G (2004) Transport algorithms for partially ionized and unmagnetized plasmas. J Comput Phys 198(2):424–449. https://doi.org/10.1016/j.jcp.2004.01.012

    Article  Google Scholar 

  • McBride BJ, Gordon S, A RM (2001) Thermodynamic data for fifty reference elements. NASA TP-3287-REV1

  • Munafò A (2014) Multi-scale models and computational methods for aerothermodynamics applications. PhD thesis, Ecole Centrale Paris, Paris, France. https://doi.org/10.1063/1.4894842

  • Munafò A, Magin T (2014) Modeling of stagnation-line nonequilibrium flows by means of quantum based collisional models. Phys Fluids 26(9):097102

    Article  Google Scholar 

  • Neumann RD (1989) Experimental methods for hypersonics: Capabilities and limitations. Course note, 2nd Joint Europe-US Short Course on Hypersonic: GAMNI-SMAI and Uni. of Texas at Austin, USAF Academy, Colorado springs, CO 80840, January 1989

  • Park C, Howe JT, Jaffe RL, Candler GV (1994) Review of chemical-kinetic problems of future NASA missions. II-Mars entries. J Thermophys Heat Trans 8(1):9–23. https://doi.org/10.2514/3.496

    Article  Google Scholar 

  • Park C, Jaffe RL, Partridge H (2001) Chemical-kinetic parameters of hyperbolic Earth entry. J Thermophys Heat Trans 15(1):76–89. https://doi.org/10.2514/2.6582

    Article  Google Scholar 

  • Rose P, Stankevics J (1963) Stagnation-point heat transfer measurements in partially ionized air. AIAA J 1(12):2752–2763. https://doi.org/10.2514/3.2169

  • Rose P, Stark W (1958) Stagnation-point heat transfer measurements in dissociated air. J Aeronaut Sci 25(2):86–97. https://doi.org/10.2514/8.7519

    Google Scholar 

  • Sagnier P, Masson A, Mohamed A, Verant J, , Devezeaux D (1995) Synthesis of MSTIP calibration campaigns in ONERA F4 hot shot wind tunnel. Tech. note, ONERA TP, 86. https://doi.org/10.1109/ICIASF.1995.519480

  • Şakraker I (2016) Aerothermodynamics of pre-flight and in-flight testing methodologies for atmospheric entry probes. PhD thesis, Université de Liége, Liege, Belgium. https://doi.org/10.2514/1.A33137

  • Scoggins JB, Leroy V, Bellas-Chatzigeorgis G, Dias B, Magin TE (2020) Mutation++: Multicomponent thermodynamic and transport properties for ionized gases in C++. SoftwareX 12:100575. https://doi.org/10.1016/j.softx.2020.100575

  • Spalding DB (1963) Convective mass transfer: an introduction. McGraw-Hill Book Company Inc., New York City, USA, 151–154

  • Turchi A, Helber B, Munafò A, Magin T (2014) Development and testing of an ablation model based on plasma wind tunnel experiments. In: 11th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, AIAA Paper 2014–2125. https://doi.org/10.2514/6.2014-2125

  • Turchi A, Congedo PM, Helber B, Magin TE (2017a) Thermochemical ablation modeling forward uncertainty analysis–Part II: Application to plasma wind-tunnel testing. Int J Therm Sci 118:510–517. https://doi.org/10.1016/j.ijthermalsci.2017.04.005

    Article  Google Scholar 

  • Turchi A, Congedo PM, Magin TE (2017b) Thermochemical ablation modeling forward uncertainty analysis–Part I: Numerical methods and effect of model parameters. Int J Therm Sci 118:497–509. https://doi.org/10.1016/j.ijthermalsci.2017.04.004

    Article  Google Scholar 

  • Yee L, Bailey H, Woodward H (1961) Ballistic range measurements of stagnation-point hat transfer in air and in carbon dioxide at velocities up to 18,000 feet per second. Tech. note, NASA TN D-777, 1961

  • Zoby E (1968) Empirical stagnation-point heat-transfer relation in several gas mixtures at high enthalpy levels. Tech. note, Langley Research Center, NASA TN D-4799, 1968

Download references

Acknowledgements

Part of the original study on the subject was performed under the European Space Agency TRP on “Catalytic Properties of Ablators”(contract no. 4000112183/14/NL/RA). The research of A. Turchi and T. E. Magin on the presented topic was partly sponsored by the European Research Council Starting Grant No. 259354: “Multiphysics models and simulations for reacting and plasma flows applied to the space exploration program.”

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alessandro Turchi.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Turchi, A., Matesanz Saiz, J.J., Magin, T.E. et al. Duplication of hypersonic stagnation-region aerothermochemistry and gas-surface interaction in high-enthalpy ground testing. Exp Fluids 62, 238 (2021). https://doi.org/10.1007/s00348-021-03320-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00348-021-03320-6

Navigation