DOI QR코드

DOI QR Code

Numerical Studies of Supersonic Planar Mixing and Turbulent Combustion using a Detached Eddy Simulation (DES) Model

  • Received : 2015.07.27
  • Accepted : 2015.12.04
  • Published : 2015.12.30

Abstract

We present a simulation of a hybrid Reynolds-averaged Navier Stokes / Large Eddy Simulation (RANS/LES) based on detached eddy simulation (DES) for a Burrows and Kurkov supersonic planar mixing experiment. The preliminary simulation results are checked in order to validate the numerical computing capability of the current code. Mesh refinement studies are performed to identify the minimum grid size required to accurately capture the flow physics. A detailed investigation of the turbulence/chemistry interaction is carried out for a nine species 19-step hydrogen-air reaction mechanism. In contrast to the instantaneous value, the simulated time-averaged result inside the reactive shear layer underpredicts the maximum rise in $H_2O$ concentration and total temperature relative to the experimental data. The reason for the discrepancy is described in detail. Combustion parameters such as OH mass fraction, flame index, scalar dissipation rate, and mixture fraction are analyzed in order to study the flame structure.

Keywords

References

  1. Evans, J. S. and Schexnayder, C. J., "Influence of Chemical Kinetics and Unmixedness on Burning in Supersonic Hydrogen Flames," AIAA Journal, Vol. 18, No. 2, 1979, pp. 805-811.
  2. Evans, J. S. and Schexnayder, C. J., "Application of a Two-Dimensional Parabolic Computer Program to Prediction of Turbulent Reacting Flows," NASA TP 1169, March 1978.
  3. Wepler, U. and Koschel, W.W., "Numerical Investigation of Turbulent Reacting Flows in a Scramjet Combustor Model," AIAA 2002-3572, Joint Propulsion Conference & Exhibit, Jul.2002.
  4. Engblom, W. A., Frate, F. C. and Nelson, C. C., "Progress in Validation of Wind-US for Ramjet/Scramjet combustion," AIAA Aerospace Sciences Meeting and Exhibit, Jan. 2005.
  5. Xiao, X. and Hassan, A., "Modeling Scramjet Flows with Variable Turbulent Prandtl and Schmidt Numbers," AIAA Journal, Vol. 45, No. 6, Jun. 2007.
  6. Parent, B. and Sislian, J. P., " Validation Of Wilcox k-${\omega}$ Model For Flows Characteristic to Hypersonic Air breathing Propulsion," AIAA journal, Vol. 42, No. 2, Feb 2004.
  7. Banaeizadeh, A., Li, Z. and Jaberi, F. A., " Large-Eddy Simulations of Compressible Turbulent Reacting Flows," AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, AIAA 2010-202, Jan.2010.
  8. Hassan, H. A., Edwards, J. R. and Fulton, J. A., "Role of Turbulence Modeling in Supersonic Combustion," AIAA Joint Propulsion Conference & Exhibit, AIAA 2011-5829, Aug. 2011.
  9. Berglund, M. and Fureby, C., "LES of Supersonic Combustion in a Scramjet Engine Model" Proceedings of the Combustion Institute, Vol. 31, No. 2, 2007, pp. 2497-2504.
  10. Huang, W., Wang, Z-G., Li, S-B. and Liu, W-D., "Influences Of H2O Mass Fraction and Chemical Kinetics Mechanism on the Turbulent Diffusion Combustion of H2-O2 in Supersonic Flows," Acta Astonautica, Vol. 76, 2012, pp. 51-59. https://doi.org/10.1016/j.actaastro.2012.02.017
  11. Baurle, R. A. and Edwards, J. R., "Hybrid Reynolds-Averaged/Large-Eddy Simulations of a Coaxial Supersonic Freejet Experiment," AIAA Journal, Vol. 48, No. 3, 2010, pp. 551-571. https://doi.org/10.2514/1.43771
  12. Cutler, A. D., Diskin, G. S., Drummond, J. P. and White, J. A., "Supersonic Coaxial Jet Experiment for Computational Fluid Dynamics Code Validation," AIAA Journal, Vol. 44, No. 3, 2006, pp. 585-592. https://doi.org/10.2514/1.5781
  13. Spalart, P. R., Jou,W.-H., Strelets, M. and Allmaras, S. R., "Comments on the Feasibility of LES for Wings, and on a Hybrid RANS/LES Approach," Advances in DNS/LES: Proceedings of the First Air Force Office of Scientific Research International Conference on DNS/LES, Greyden Press, Columbus, OH, 1997, pp. 137-148.
  14. Genin, F., Chernyavsky, B. and Menon, S., "Large eddy simulation of scramjet combustion using a subgrid mixing/ combustion model," AIAA-2003-7035, Dec., 2003.
  15. Genin, F. and Menon, S., "Simulation of Turbulent Mixing Behind a Strut Injector In Supersonic Flow" AIAA Paper 2009-132, Jan. 2009.
  16. Baurle, R. A. and Edwards, J. R., "Hybrid Reynolds- Averaged/Large- Eddy Simulations of a Coaxial Supersonic Free-Jet Experiment," AIAA Paper 2009-0129, 2009.
  17. Cutler, A. D., Diskin, G. S., Drummond, J. P. and White, J. A., "Supersonic Coaxial Jet Experiment for Computational Fluid Dynamics Code Validation," AIAA Journal, Vol. 44, No. 3, 2006, pp. 585-592. https://doi.org/10.2514/1.5781
  18. Edwards, J. R, Boles, J. A. and Baurle, R. A., "LES/RANS simulation of a supersonic reacting wall jet", Combustion & Flame, 2012.
  19. Peterson, D. M. and Candler, G. V., "Hybrid RANS/LES of a Supersonic Combustor," AIAA Paper 2008-6923, July, 2008.
  20. Peterson, D. M., Candler, G. V., and Drayna, T. W., "Detached Eddy Simulation of a Generic Scramjet Inlet and Combustor" AIAA Paper 2009-0130, Jan. 2009.
  21. Choi, J.-Y., Yang, V. and Ma, F., "Combustion Oscillations in a Scramjet Engine Combustor with Transverse Fuel Injection," Proceedings of the Combustion Institute, Vol. 30, No. 2, 2005, time-averaged DES. pp. 2851-2858.
  22. Choi, J.-Y., Ma, F. and Yang, V., "Dynamics Combustion Characteristics in Scramjet Combustors with Transverse Fuel Injection," AIAA Paper 2005-4428, 2005.
  23. Choi, J.-Y., Han, S-.H., Kim, K.-H. and Yang, V., "High Resolution Numerical Study on the Coaxial Supersonic Turbulent Flame Structures," Propulsion and Energy Forum, AIAA 2014-3745.
  24. Choi, J.-Y., Han, S-.H., Kim, K.-H. and Yang, V., "High Resolution Numerical Study on the Supersonic Turbulent Flame Structures and Dynamics in Dual Combustion Ramjet," Propulsion and Energy Forum, AIAA 2014-3744.
  25. Kim, J.-H., Yoon, Y., Jeung, I.-S., Huh, H. and Choi, J.-Y., "Numerical study of mixing enhancement by shock waves in model scramjet engine," AIAA Journal, Vol. 41, 2003, pp. 1074-1080. https://doi.org/10.2514/2.2047
  26. McBride, B. J., Gordon, S. and Reno, M. A., Coefficients for Calculating Thermodynamic and Transport Properties of Individual Species, NASA TM-4513, 1993.
  27. Won, S.-H., Jeung, I.-S, Parent, B. and Choi, J.-Y., "Numerical Investigation of Hydrogen Transverse Jet into Supersonic Crossflow using Detached Eddy Simulation," AIAA Journal, Vol. 48, No. 6, June, 2010, pp.1047-1058. DOI:10.2514/1.41165
  28. Marshall, C. B. and Kurkov, A. P., Analytical and Experimental Study of Supersonic Combustion of Hydrogen in a Vitiated Air Stream, NASA TM X 2828, Sept. 1973.
  29. Norris, J. W. and Edwards, J. R., "Large-Eddy Simulation of High-Speed Turbulent Diffusion Flames with Detailed Chemistry," AIAA Paper 1997-0370, 1997.
  30. Kurkov, A. P., Mixing of supersonic jets including the effects of transverse pressure gradient using difference methods, NASA TN D-6592, Dec.1971.
  31. Peters, N., Turbulent Combustion, Cambridge University Press, U.K., 2000.
  32. https://archive.org/details/nasa_techdoc_20100003412