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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-Hua2/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).
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.
© EDP Sciences 2009
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