Wavy-roughness effect to thermal explosion of materials with power-law   thermal absorptivity in microannuli
  We 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. 
Zotin K.-H. Chu and Chen Qin