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

Published online by Cambridge University Press:  22 April 2009

Chu Zotin Kwang-Hua
Chu Zotin Kwang-Hua*
Affiliation:
2/F, 24, Lane 260, First Section, Muzha Road, Taipei, 116 Taiwan, P.R. China
*
ustcphysqin@gmail.com
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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. 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).

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 47 , Issue 1: 4th Colloquium Interdisciplinary in Instrumentation (C2I 2007) , July 2009 , 11202
Copyright
© EDP Sciences, 2009

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