Spherical detonation waves of the Chapman–Jouguet combustion model. (May 2020)

• Record Type: Journal Article
• Authors: Xie, Sisi; Lai, Geng
• Is Part Of: Applied mathematics letters. Volume 103(2020)
• Publication Date: 2020-05
• Subjects: Chapman–Jouguet combustion model -- Riemann problem -- Spherical symmetry -- Strong detonation -- Chapman–Jouguet detonation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.106166
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: The study of spherically symmetric motion is important for the theory of explosion waves. In this paper, we construct rigorously self-similar detonation wave solutions to a Riemann initial–boundary value problem for the spherically symmetric Chapman–Jouguet combustion model. We give a detailed analysis to show that the problem does not have a strong detonation wave solution but has a Chapman–Jouguet detonation wave solution. We also obtain detailed structures of the Chapman–Jouguet detonation wave solution besides the existence.