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We obtain the approximate solutions for the steady temperature profiles ofmaterials with a temperature-dependent thermal absorptivity inside amicroannulus with wavy-rough surfaces considering a quasilinear partialdifferential equation by the boundary perturbation approach. We found thecritical Frank-Kamanestkii parameter will depend on the small amplitudewavy-roughness.

Wavy-roughness effect to thermal explosion of materials with power-law thermal absorptivity in microannuli