Novosibirsk, Russia, May, 30 – June, 4, 2011

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

Martyushov S.  

Numerical Simulation of Detonation in Pulse Detonation Engine

The main goal of this study is to investigate numerically the flow pattern in a detonation engine . A pulse detonation engine is a type of propulsion system that utilizes detonation waves for efficient combustion of the fuel and oxidizer mixture.
The advantage of this type of detonation engine is the absence of moving parts in its design. This engine comprises a reactor, where fuel-oxidizer mixture is prepared for detonation and a resonator chamber. Gaseous mixture flows from the reactor into the resonator through a ring nozzle. The parameters that determine the flow apart from the composition of the fuel-oxidizer mixture are the magnitudes of pressure and temperatures in the reactor and in the external space and the sizes of the exit cross-section and the critical cross-section of the ring nozzle.
The simplified mathematical model of two-phase chemical reaction, including the induction period and the subsequent reaction period was used.
The gas was assumed to be non viscous, and the one-stage Arrhenius model for chemical reaction rate was employed.
Spatial discretization of the fluxes vector normal to the cell boundary direction is performed on the basis of two similar TVD-schemes: the slightly improved version of the Harten scheme and Chacravarthy-Osher scheme.
Numerical simulations revealed the existence of two types of flows: the stationary flow for a large pressure ratio in the Laval nozzle and the periodical flow for small pressure ratio.
The suggested algorithm was also used for numerical simulations of flows in different types of pulse detonation engines, in particular flows in channels with constrictions.

Abstracts file: AbstractNikNik1.doc
Full text file: MartyushNikNik2.pdf

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