No abstract

A mathematical simulation for a reaction wave that propagates in a cylindrical sample is performed. The propagation modes that have not yet been observed experimentally are predicted. The areas of existence for these modes have been determined.

Mathematical simulation is being widely used in modeling wave propagation in various physical, chemical, and biological processes, such as gasless combustion, frontal polymerization, etc. Numerical simulation is especially important in three-dimensional (3D) modeling of the spinning and chaotic waves propagating in nontransparent solids. In this paper, we analyze the system of equations that describes the propagation of a self-sustained wave through a cylindrical sample of combustible mixture. In this case, sample composition, sample radius, and heat loss from the sample surface will be used as variable parameters. We will describe (i) the combustion modes that give rise to periodic screw motion of one or several hot spots, (ii) inner wave structure, (iii) effect of parameters on the wave structure, (iv) some modes that have not yet been observed experimentally, (v) a loss of periodicity that leads to chaotic propagation of a 3D self-sustained wave.

No abstract

No abstract