Fuel and Combustion

Fuel and Combustion

Investigation of the Friction Effects on Instability of the One-Dimensional Gaseous Detonation Waves in the Mixtures with Low Activation Energy

Authors
Majid Sabzpooshani 1
Hadiseh Karimaei 2
1 Energy Research Institute, University of Kashan, Kashan, Iran
2 Faculty of Engineering, Department of Mechanical Engineering, University of Kashan, Kashan, Iran
Abstract

In this paper, behavior of the non-ideal detonation wave is studied. Simulation of detonation is performed based on the one-dimensional Euler equations, taking into consideration the friction effects by additional momentum source term in the momentum conservation equation. One-step Arrhenius reaction model is utilized for modeling of the chemical reactions. The yielded results indicated that in the very low activation energy (equal to 8), considering the friction caused a reduction in detonation velocity and an extension in length of the reaction zone up to a specific value. Nevertheless, stable behavior of detonation wave is observed even at higher values of friction factor. The results also show that in the activation energy of 22 (which is close to stability limit in the ideal detonation) and with low values of the friction factor, detonation wave retains its stability; but with increasing the friction factor, detonation wave leads to unstable and pulsating detonation. For higher values of the friction factor, at first, double oscillation detonation is appeared and finally, when friction factor exceeds the critical value, separation of the reaction zone and precursor shock wave occurs and then the detonation will be attenuated. Indeed, the behavior of detonation waves is controlled by the competition between the rate of energy release from chemical reaction and the rate of momentum dissipation by friction effect.
Keywords
Numerical simulation
Non-ideal detonation
Detonation stability
Friction effect
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