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Steady thermal explosion with power-lawthermal absorptivityin 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
*
[email protected]
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Abstract

We obtain the approximate solutions for the steady temperatureprofiles of materials with a temperature-dependent thermalabsorptivity inside a microannulus with wavy-rough surfacesconsidering a quasilinear partial differential equation by theboundary perturbation approach. Our numerical results show thatthe wave number as well as the small amplitude of the wavyroughness will influence the net temperature significantlyespecially near the inner wall of a microannulus. Meanwhile weobserved that the critical Frank-Kamanestkii parameter depends onthe small-amplitude wavy-roughness for specific power-law ofthermal absorptivity. Our results could be applied to the relevantfields 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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