Share This Article:

Finite Size Scaling of Flame Spread along Randomly Distributed Combustible Cubes

Abstract Full-Text HTML Download Download as PDF (Size:3793KB) PP. 136-144
DOI: 10.4236/ojsst.2014.43015    2,934 Downloads   3,290 Views  

ABSTRACT

Flame spread in urban fire depends on quantity of combustible materials and their placement. The purpose of this study is to predict the flame-spread route by the rate of combustible area. In this experiment, we used combustible cube made from filter paper as a test sample, and combustible cubes and pores were randomly distributed in experimental area. Additionally, we examined non-uniform flame spread along combustible cubes in various porosities and experimental areas. Experimental results show that the flame-spread probability falls with increasing porosity, and despite uniform porosity, the flame-spread probability differs with the experimental area. When expanding the experimental area, less porosity is required to obtain zero flame-spread probability. To investigate based on finite size scaling of percolation theory for the change in porosity, we con-cluded that different thresholds exist for areas of all sizes. Because of the flame-spread progress stops in the thresholds, these porosities may be useful to predict fire hazard.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Yoshida, Y. , Ito, A. and Torikai, H. (2014) Finite Size Scaling of Flame Spread along Randomly Distributed Combustible Cubes. Open Journal of Safety Science and Technology, 4, 136-144. doi: 10.4236/ojsst.2014.43015.

References

[1] Fernandez-Pello, A.C. and Hirano, T. (1983) Controlling Mechanisms of Flame Spread. Combustion Science and Technology, 32, 1-31. http://dx.doi.org/10.1080/00102208308923650
[2] De Ris, J. (1969) Spread of a Laminar Diffusion Flame. Twelfth Symposium (International) on Combustion, 241-252.
[3] Kazuho, S., Kazumasa, M. and Toshisuke, H. (1984) Flame Spread over Paper in an Air Stream with a Velocity Change. Journal of Heat Transfer, 106, 707-712. http://dx.doi.org/10.1115/1.3246742
[4] Takashi, S. (1976) Summaries of Technical Papers of Annual Meeting. Architectural Institute of Japan, 1803-1804. (in Japanese)
[5] Toshiyuki, K., Takaaki, K. and Osamu, K. (2001) The Basic Study on the Evaluation of Disaster Mitigation Performance of the Local Area Road Network Based on Percolation Theory. Journal of Architecture and Planning, 549, 231-237. (in Japanese)
[6] Takaaki, K. (2002) Operations Research as a Management Science. Communications of the Operations Research Society of Japan, 47, 441-446. (in Japanese)
[7] Hiroshi, O., Hisashi, S., Masato, M. and Naoya, K. (2009) Flame-Spread Probability and Local Interactive Effects in Randomly Arranged Fuel-Droplet Arrays in Microgravity. Combustion and Flame, 156, 763-770.
http://dx.doi.org/10.1016/j.combustflame.2008.12.013
[8] Akira, U. (2011) Application of Percolation Theory to Combustion Problems. Journal of the Combustion Society of Japan, 53, 145-152.
[9] Yukito, W., Akihiko, I. and Hiroyuki, T. (2009) Effect of Porosity on Flame Spread along a Thin Combustible Solid Randomly Distributed Pores. Sixth International Symposium on Scale Modeling, Proceedings (CD-Rom), Kauai, Hawaii, 13-16 September 2009.
[10] Yukito, W., Akihiko, I. and Hiroyuki, T. (2010) Flame Spread along a Thin Randomly Distributed Combustible and Noncombustible Areas. Proceedings of the Combustion Institute, 33, 2449-2455.
[11] Syuhei, A., Akihiko, I. and Hiroyuki, T. (2012) Flame Spread along a Thin Combustible Solid with Randomly Distributed Square Pores of Two Different Sizes. Modern Applied Science, 6, 11-19.
[12] Stauffer, D. (1985) Introduction to Percolation Theory. Taylor and Francis, London
[13] Stauffer, D. and Aharony, A. (1992) Introduction to Percolation Theory. 2nd Edition, Taylor and Francis, London.

  
comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.