Issue Eur. Phys. J. Appl. Phys. Volume 47, Number 1, July 2009 4th Colloquium Interdisciplinary in Instrumentation (C2I) Article Number 11202 Number of page(s) 6 Section Instrumentation and Metrology DOI 10.1051/epjap/2009072 Published online 22 April 2009

Eur. Phys. J. Appl. Phys. 47, 11202 (2009)
DOI: 10.1051/epjap/2009072

Steady thermal explosion with power-law thermal absorptivity in microannuli: wavy-roughness effect

Chu Zotin Kwang-Hua

2/F, 24, Lane 260, First Section, Muzha Road, Taipei, 116 Taiwan, P.R. China

ustcphysqin@gmail.com

Received: 28 November 2008 / Received in final form: 4 February 2009 / Accepted: 7 March 2009 / Published online: 22 April 2009

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. Our numerical results show that the wave number as well as the small amplitude of the wavy roughness will influence the net temperature significantly especially near the inner wall of a microannulus. Meanwhile we observed that the critical Frank-Kamanestkii parameter depends on the small-amplitude wavy-roughness for specific power-law of thermal absorptivity. Our results could be applied to the relevant fields in MicroElectroMechanical System (MEMS).

PACS
83.80.Jx - Reacting systems: thermosetting polymers, chemorheology, rheokinetics .
66.30.Xj - Thermal diffusivity.
89.30.-g - Energy resources.
89.20.Dd - Military technology and weapons systems; arms control.
44.05.+e - Analytical and numerical techniques.

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