# Numerical solution and analysis of spatial supersonic combustion of a hydrogen-air mixture

## Keywords:

Navier-Stokes equations, ENO-scheme, supersonic combustion, multicomponent compressible gas## Abstract

In this paper, we analyze the numerical simulation of supersonic spatial combustion of a hydrogenair mixture. The problem of stiﬀness is considered in the simultaneous numerical solution of the Navier-Stokes equation and chemical kinetics. Veriﬁcation of the proposed method for solving the system of ﬁnite-diﬀerence Navier-Stokes equations closed by the k − ω turbulence model has been performed by numerically solving the problem of injecting a transverse sound jet of hydrogen into a supersonic airﬂow in a three-dimensional channel. A computational experiment was carried out for the combustion of a hydrogen-air mixture in a supersonic turbulent ﬂow. Large-scale vortex structures and their downstream growth were obtained for the free shear ﬂow of multicomponent gases without introducing nonstationary perturbations at the inlet. It follows from numerical experiments that the process of ignition and diﬀusion combustion of a previously unmixed hydrogen-air mixture for free shear ﬂow appears in the mixing layer, in the zone of formation of intense vortices with the release of heat due to chemical reactions. The results of a numerical experiment and a detailed analysis of the results are presented. Key words: Navier-Stokes equations, ENO-scheme, supersonic combustion, multicomponent compressible gas.

## References

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Wilcox D. C. Formulation of the k − ω Turbulence Model Revisited //AIAA J. – 2008. – Т. 46. – №. 11. – p. 2823-2838

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## How to Cite

*Journal of Mathematics, Mechanics and Computer Science*,

*96*(4), 65–75. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/578