2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226160We obtain the approximate solutions for the steady temperature profiles of materials with a temperature-dependent thermal absorptivity inside a microannulus with wavy-rough surfaces considering a quasilinear partial differential equation by the boundary perturbation approach. We found the critical Frank-Kamanestkii parameter will depend on the small amplitude wavy-roughness.two figuresGeneral PhysicsWavy-roughness effect to thermal explosion of materials with power-law thermal absorptivity in microannulitext