Numerical Investigation of Combustion in Supersonic Flow at the Transverse Injection of Hydrogen

Authors

  • Ye Belyayev Al-Farabi Kazakh National University
  • A Kaltayev Al-Farabi Kazakh National University
  • A Naimanova Institute of Mathematics, Ministry of Education and Science
  • Harsha K Chelliah University of Virginia School of Engineering and Applied Science, Mechanical and Aerospace Engineering, Charlottesville VA, USA
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Keywords:

supersonic flow, hydrogen combustion, ENO-scheme, seven chemical reactions mechanism

Abstract

A computational fluid dynamics code for multispecies, Favre-Averaged Naveir-Stokes equations is developed to simulate the turbulent supersonic two-dimensional reacting flow. The explicit ENO scheme of third-order in accuracy has is used to solve the system of equations, together with the algebraic Baldwin-Lomax’s turbulence model to calculate the eddy viscosity coefficient. For the description of reaction pathways of hydrogen, a seven species chemical reaction model by Jachimowski is adopted. Computer code is validated by comparison of the predicted solution with previous simulations of the two-dimensional chemically reacting supersonic hydrogen-air flow, where the fuel is injected in transverse direction to the main air flow via slots located on the wall. Influence of boundary conditions for the temperature on the walls on turbulent mixture is reported.

References

1.Beketaeva A.O., Naimanova A.Zh. Numerical simulation of a supersonic flow with transverse injection of jets // Journal of Applied Mechanics and Technical physics. - 2004.-Vol. 45, №3, - P. 367-374.

2.Dean R. Eklund, J. Philip Drummond and H.A. Hassan Calculation of Supersonic Turbulent Reacting Coaxial Jets // AIAA Journal. -September, 1990. -Vol. 28, №9.

3.SUN De-chuan, HU Chun-bo, CAI Ti-min Computation of Supersonic Turbulent Flowfield with Transverse Injection // Applied Mathematics and Mechanics. English Edition - Junuary 2002. - Vol. 23, №1 - P. 107-113.

4.Muhamed Ali, S. Ahmed, A. K. M. Sadrul Islam The Two-Dimensional Supersonic Flow and Mixing with a Perpendicular Injection in a Scramjet Combustor // Journal of Thermal Science - 2003. - Vol. 12, №4 - P. 372-380.

5.Kee R.J., Rupley F.M., Miller J.A. CHEMKIN-II: a Fortran chemical kinetic package for the analysis of gas-phase chemical kinetics // SANDIA Report SAND89-8009. - 1989.

6.Harten A., Engquist B., Osher S., Chakravarthy S.R. Uniformly High Order Accurate Non-oscillatory Schemes, III // Journal of Computational Physics. - 1987. - Vol.71. - P.231-303.

7.Harten A., Osher S., Engquist B., Chakravarthy S.R. Some Results on Uniformly High-Order Accurate Essentially Non-oscillatory Schemes // Applied Num. Math. - 1986. - Vol.2.- P.347-377.

8.E. H. Weidner and J. Ph. Drummond Numerical study of staged fuel injection // AIAA J. 20. - 1982. - No.10 - P. 1426-1431.

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How to Cite

Belyayev, Y., Kaltayev, A., Naimanova, A., & Chelliah, H. K. (2012). Numerical Investigation of Combustion in Supersonic Flow at the Transverse Injection of Hydrogen. Journal of Mathematics, Mechanics and Computer Science, 74(3), 81–89. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/152

Issue

Vol. 74 No. 3 (2012): Journal of Mathematics, Mechanics and Computer Science

Section

Mechanics