Skip to main content

Instabilities in Hypersonic Boundary Layers Under the Influence of High-temperature Gas Effects

  • Conference paper
High Performance Computing in Science and Engineering’ 05

Summary

Investigations on the spatial evolution of instabilities for hypersonic boundary-layer flows on a flat plate with dissociation are presented. A higher order compact numerical scheme allows for the detailed investigation of the linear and the non-linear evolution of the disturbance waves in the presence of chemical reactions. Compared to the ideal-gas case, lower temperatures in the boundary-layer are present. The three-dimensional disturbance behaviour is experiencing slight damping in the linear regime compared to equilibrium results. High-level disturbances can also lead to local shocklets that are treated with a hybrid ENO-scheme. Experiments for qualitative validation of the results at elevated Mach numbers are available by Mironov.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N. A. Adams. Direct numerical simulation of turbulent compression ramp flow. Theor. and Comp. Fl. Dynamics., 12:109–129, 1998.

    Article  MATH  Google Scholar 

  2. N. A. Adams. Direct simulation of the turbulent boundary layer along a compression ramp at M=3 and Re θ =1685. J. Fluid Mech., 420:47–83, 2000.

    Article  MATH  Google Scholar 

  3. N. A. Adams and K. Shariff. A high-resolution hybrid compact-eno scheme for shock-turbulence interaction problems. J. Comput. Phys., 127:27–51, 1996.

    Article  MathSciNet  MATH  Google Scholar 

  4. F.P. Bertolotti. The influence of rotational and vibrational energy relaxation on boundary-layer flow. J. Fluid Mech., 372:93–118, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. V. Candler. Chemistry of external flows. VKI LS 1995-04, 1995.

    Google Scholar 

  6. C.-L. Chang, H. Vinh, and M.R. Malik. Hypersonic boundary-layer stabiity with chemical reactions using PSE. AIAA Paper 97-2012, 1997.

    Google Scholar 

  7. H.K. Cheng. Perspectives on hypersonic viscous flow research. Ann. Rev. Fluid Mech., 25:455–484, 1993.

    Article  Google Scholar 

  8. P.A. Gnoffo. Planetary-entry gas dynamics. Ann. Rev. Fluid Mech., 31:459–494, 1999.

    Article  Google Scholar 

  9. Y. Kachanov. Physical mechanisms of laminar-boundary-layer transition. Ann. Rev. Fluid Mech., 26:411–482, 1994.

    MathSciNet  Google Scholar 

  10. L. Kleiser and T.A. Zhang. Numerical simulation of transition in wall-bounded shear flows. Ann. Rev. Fluid Mech., 23:495–537, 1991.

    Article  Google Scholar 

  11. S.K. Lele. Compact finite-difference schemes with spectral-like resolution. J. Comp. Phys., 103:16–42, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  12. L. M. Mack. Boundary-layer stability theory. Technical Report JPL Report 900-277 Rev. A, Jet Propulsion Laboratory, Pasadena, USA, 1969.

    Google Scholar 

  13. M. R. Malik and E. C. Anderson. Real gas effects on hypersonic boundary-layer stabiity. Phys. Fluids A, 3(5):803–821, May 1991.

    Article  Google Scholar 

  14. S.G. Mironov and A.A. Maslov. Experimental study of secondary stability in a hypersonic shock layer on a flat plate. J. Fluid Mech., 412:259–277, 2000.

    Article  MATH  Google Scholar 

  15. S.G. Mironov, T.V. Poplavskaya, B.V. Smorodsky, and A.A. Maslov. On the instability of hypersonic flow past a flat plate. In Conference proceedings of ICMAR 2002, pages 171–175, 2002.

    Google Scholar 

  16. C. Park. A review of reaction rates in high temperature air. AIAA Paper 89-1740, 1989.

    Google Scholar 

  17. C. D. Pruett and C.-L. Chang. Spatial direct numerical simulation of high-speed boundary-layer flows — part ii: transition on a cone in Mach 8 flow. Theoret. Comp. Fluid Dyn., 7:397–424, 1995.

    Article  MATH  Google Scholar 

  18. S. P. Schneider. Flight data for boundary-layer transition at hypersonic and supersonic speeds. J. of Spacecraft and Rockets, 36:8–20, 1999.

    Article  Google Scholar 

  19. C. Stemmer. Flat-plate boundary-layer hypersonic transition. In Annual Research Briefs 2002, pages 389–396, 2002.

    Google Scholar 

  20. C. Stemmer and N.A. Adams. Investigation of hypersonic flat-plate boundarylayer transition by direct numerical simulation. In High Performance Computing in Science and Engineering’ 04, pages 155–162. Springer Verlag, Berlin, 2004.

    Google Scholar 

  21. C. Stemmer and N.N. Mansour. Dns of transition in hypersonic boundarylayer flows including high-temperature gas effects. In Annual Research Briefs 2001, pages 143–150, 2001.

    Google Scholar 

  22. K.F. Stetson and R.L. Kimmel. On hypersonic boundary-layer stability. AIAA Paper 92-0737, 1992.

    Google Scholar 

  23. G. K. Stuckert and H. L. Reed. Unstable branches of a hypersonic, chemically reacting boundary layer. Proc. of the Boundary Layer Transition and Control, The Royal Aeronautical Society, Peterhouse College, Cambridge, UK, pages 19.1–19.13, April 8-12 1991.

    Google Scholar 

  24. T. P. Wadhams and M. S. Holden. Summary of experimental studies for cone validation in the LENS facility and comparisons with recent navier-stokes and DSMC solutions for two-and three-dimensional separated regions in hypervelocity flows, 2004. AIAA-paper 2004-0917.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Stemmer, C., Adams, N.A. (2006). Instabilities in Hypersonic Boundary Layers Under the Influence of High-temperature Gas Effects. In: Nagel, W.E., Resch, M., Jäger, W. (eds) High Performance Computing in Science and Engineering’ 05. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-29064-8_9

Download citation

Publish with us

Policies and ethics