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

Zotin K. -H. Chu; Chen Qin

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arXiv · 0806.4234

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

Zotin K. -H. Chu·Chen Qin

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Abstract

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.

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Zotin K. -H. Chu, Chen Qin. 2009-04-09. Wavy-roughness effect to thermal explosion of materials with power-law thermal absorptivity in microannuli. https://arxiv.org/abs/0806.4234

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