The Hump effect is an anomaly of overvelocity (or overpressure) observed in the combustion room of propellers during the combustion of some solid propellant blocks. We consider as a mathematical model of the phenomenon, a coupled system of nonlinear equations of parabolic type for the temperature diffusion and of Hamilton-Jacobi type for the propagation of the flame front in a non-homogeneous medium. This paper presents the existence and uniqueness theorem.  Some properties of the solution describing the phenomenon are also provided.

Hump effect, striated media, viscosity solutions.

Received: July 2, 2021; Accepted: July 25, 2021; Published: August 7, 2021

How to cite this article: T. K. Edarh-Bossou, Mathematical modelling of the hump effect, Advances in Differential Equations and Control Processes 25(1) (2021), 99-113. DOI: 10.17654/DE025010099

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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