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Computational Study of Nonadiabatic Wave Patterns in Smouldering Combustion under Microgravity

Published online by Cambridge University Press:  28 May 2015

Ekeoma Rowland Ijioma ,
Hirofumi Izuhara ,
Masayasu Mimura  and
Toshiyuki Ogawa
Ekeoma Rowland Ijioma*
Affiliation:
Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo, 164-8525, Japan
Hirofumi Izuhara
Affiliation:
Faculty of Engineering, University of Miyazaki, 1-1 Gakuen Kibanadai-nishi, Miyazaki 889–2192, Japan
Masayasu Mimura
Affiliation:
Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo, 164-8525, Japan Graduate School of Advanced Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo, 164-8525, Japan
Toshiyuki Ogawa
Affiliation:
Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo, 164-8525, Japan Graduate School of Advanced Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo, 164-8525, Japan
*
*Corresponding author. Email addresses: e.r.ijioma@gmail.com (E.R. Ijioma), hiro.izuhara@gmail.com (H. Izuhara), mimura.masayasu@gmail.com (M. Mimura), togw@meiji.ac.jp (T. Ogawa)
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Abstract

We numerically study a thermal-diffusive model for smouldering combustion under microgravity with convective heat losses. In accordance with previous experimental observations, it is well known that porous materials burning against a gaseous oxidiser under microgravity exhibit various finger-like char patterns due to the destabilising effect of oxidiser transport. There is a close resemblance between the pattern-forming dynamics observed in the experiments with the mechanism of thermal-diffusive instability, similar to that occurring in low Lewis number premixtures. At large values of the Lewis number, the finger-like pattern coalesces and propagates as a stable front reminiscent of the pattern behaviour at large Péclet numbers in diffusion-limited systems. The significance of the order of the chemical kinetics for the coexistence of both upstream and downstream smoulder waves is also considered.

Keywords

80A2535K5780A3035B36Filtration combustionsmoulderingfingering instabilitynonadiabaticchemical kinetics
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 5 , Issue 2 , May 2015 , pp. 138 - 149
Copyright
Copyright © Global-Science Press 2015 

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