Abstract
We study the transition from the Zeldovich--von Neumann--Doring (ZND) theory to the Chapman--Jouguet (CJ) theory as the reaction rate tends to infinity for a nonconvex scalar combustion model. The Riemann solution of the nonconvex ZND combustion model is constructed, and the limit of solutions as the reaction rate goes to infinity is investigated. We classify the reaction solutions of the ZND combustion model as detonation and deflagration waves according to the essential difference that the former contains the von Neumann spike but the latter does not. Based on the analysis of this limit, we propose a set of entropy conditions for combustion and noncombustion waves to the nonconvex CJ combustion model, which is the indispensable preparation for the study of multidimensional combustion problems.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
