International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Zhdan S.A.   Сырямин А.С.  

Numerical simulation of continuous rotating detonation waves in a hydrogen-oxygen mixtures

Reporter: Zhdan S.A.

A method of detonation combustion of fuels is currently considered as an alternative to conventional combustion in turbulent flame. This method allows intense and more thermodynamically efficient and stable combustion of various fuels in combustors of moderate size determined by the characteristic size of the
detonation-wave front [1].
A physical model of the phenomenon of a rotating detonation wave (RDW) and its specific features caused by the periodic character of transverse detonation waves (TDWs) are considered. A 2D mathematical model of a RDW in annular rocket-type combustors is formulated. A numerical investigation for hydrogen-oxygen mixtures is developed. The governing parameters of the periodic problem considered are identified and analyzed. It is demonstrated that the period (distance between the neighboring TDWs) cannot be assigned in an arbitrary manner; the value of this period is an eigenvalue of the mathematical problem formulated within the framework of the Euler equations, which has to be sought in the course of solving this problem.
The basic principles that should be followed in numerical simulations of a Rotating Detonation Wave Engine (RDWE) are formulated. Some recent publications dealing with 2D and 3D numerical simulations of RDWE are analyzed. It is found that violation of at least one basic principle yields erroneous results, which cannot be observed in a real physical phenomenon of the RDW. Moreover, the predictions of the limits of RDW existence contradict available publications where experimental results are reported.
Thus, the lack of understanding of the specific features of physical processes in RDWE can lead and has already led to meaningless expenses of resources and computer time.
This work was partly supported by the Russian Foundation for Basic Research (Grant No. 10-01-00203).
Reference
1. Bykovskii F.A., Zhdan S.A. and Vedernikov E.F. Continuous Spin Detonations. Journal of Propulsion and Power. 2006. Vol. 22, No. 6. P. 1204-1216.