Hot-Spot Formation in Energetic Materials Confined in Wavy-Rough Domains

Abstract

We obtain very-high temperature profiles that resemble hot spots after numerically tuning the geometric as well as material parameters. Approximate solutions for steady temperature distribution of exotic materials with temperature-dependent thermal absorptivities inside microannuli with small amplitude wavy-rough surfaces were derived considering a quasilinear partial differential equation by the boundary perturbation approach. Our results can give useful clues about the storage of solid fuels as well as energy creation via fine-tuned hot-spot formation.