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A theoretical method for solving shock relations coupled with chemical equilibrium and its applications

Chinese Journal of Aeronautics 2022年第6期35卷 47-62页

作者： Zijian ZHANG Chihyung WEN Wenshuo ZHANG Yunfeng LIU Zonglin JIANG Department of Aeronautical and Aviation Engineering The Hong Kong Polytechnic UniversityHong KongChina Institute of Mechanics Chinese Academy of SciencesBeijing 100190China School of Engineering Science University of Chinese Academy of SciencesBeijing 100049China

In this study,a theoretical method is proposed to solve shock relations coupled with chemical *** only shock waves in dissociated flows but also detonation waves in combustive mixtures can be *** global iterative solving process is specially designed to mimic the physical and chemical process in reactive shock waves to ensure good stability and fast convergence in the proposed *** each global step,the single-variable equations of normal and oblique shock relations are derived and solved with the Newton iteration method to reduce the complexity of the problems,and the minimization of free energy method of NASA(National Aeronautics and Space Administration)is adopted to solve equilibrium *** is demonstrated that the convergent process is stable and very close to the real chemical-kinetic process,and high accuracy is achieved in the solutions of normal and oblique reactive shock ***,the proposed theoretical method has also been applied to many problems associated with reactive shocks,including the stability of oblique detonation wave,bow detonation over a sphere,and shock reflection in dissociated *** great importance of using chemical equilibrium to theoretically predict the theoretical range of the wedge angle for a standing oblique detonation wave(the standing window of the oblique detonation wave),the stand-off distance of bow detonation wave and the transition criterion of shock reflection in dissociated air with high accuracy have been addressed.

关键词： Chemical equilibrium Detonation Dissociated air shock relation Theoretical solution

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