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

TL;DR

This paper investigates how wavy-rough surface textures influence the thermal explosion behavior of materials with power-law thermal absorptivity in microannuli, providing approximate solutions for temperature profiles.

Contribution

It introduces an analytical approach to account for surface roughness effects on thermal stability in microannuli with temperature-dependent absorptivity.

Findings

Critical Frank-Kamanestkii parameter depends on surface roughness amplitude.

Approximate solutions for steady temperature profiles are derived.

Surface roughness influences thermal explosion thresholds.

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.