Volume 5, Issue 2
Computational Study of Nonadiabatic Wave Patterns in Smouldering Combustion under Microgravity

Ekeoma Rowland Ijioma, Hirofumi Izuhara, Masayasu Mimura & Toshiyuki Ogawa

East Asian J. Appl. Math., 5 (2015), pp. 138-149.

Published online: 2018-02

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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

Filtration combustion, smouldering, fingering instability, nonadiabatic, chemical kinetics.

  • AMS Subject Headings

80A25, 35K57, 80A30, 35B36

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-5-138, author = {}, title = {Computational Study of Nonadiabatic Wave Patterns in Smouldering Combustion under Microgravity}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {5}, number = {2}, pages = {138--149}, 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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.010914.250315a}, url = {http://global-sci.org/intro/article_detail/eajam/10917.html} }
TY - JOUR T1 - Computational Study of Nonadiabatic Wave Patterns in Smouldering Combustion under Microgravity JO - East Asian Journal on Applied Mathematics VL - 2 SP - 138 EP - 149 PY - 2018 DA - 2018/02 SN - 5 DO - http://doi.org/10.4208/eajam.010914.250315a UR - https://global-sci.org/intro/article_detail/eajam/10917.html KW - Filtration combustion, smouldering, fingering instability, nonadiabatic, chemical kinetics. AB -

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.

Ekeoma Rowland Ijioma, Hirofumi Izuhara, Masayasu Mimura & Toshiyuki Ogawa. (1970). Computational Study of Nonadiabatic Wave Patterns in Smouldering Combustion under Microgravity. East Asian Journal on Applied Mathematics. 5 (2). 138-149. doi:10.4208/eajam.010914.250315a
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