Dependence on the sectional shape of tube for propagation behavior of three-dimensional detonation

Abstract

This paper is concerned with numerical simulation on propagation behavior of three-dimensional detonations in square tubes. Influence on motion trajectories of high pressure region (shock triple points) due to the change of aspect ratio of tube is solved by a finite difference method which consists of the semi-implicit MacCormack method and Non-MUSCLE type TVD scheme in order to prevent numerical stiffness and Gibb's phenomena. Reaction mechanism utilized in this study is the Nagoya model constructed for the stoichiometric hydrogen and oxygen gas mixture. It was found from numerical results that distinction in propagation mode could be explained from the relation between the geometric form of the tube section and the behavior of triple points. Moreover, it was shown that the transition of the configuration and the mode of propagation might not be settled causing the aspect ratio of the section.

Keywords

• numerical simulation
• three-dimensional detonation
• aspect ratio
• internal structure
• detonation cell