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Articles

Diffusion mechanism of fingering in smolder combustion of thin solid fuel

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Pages 1750-1771 | Received 15 Sep 2017, Accepted 24 Apr 2018, Published online: 11 Jun 2018

References

  • Aldushin, A.P., and Matkowsky, B.J. 1998. Instabilities, fingering and the Saffman-Taylor problem in filtration combustion. Combust. Sci. Technol., 133(4–6), 293–341.
  • Conti, M., and Marconi, U.M.B. 2002. Fingering in slow combustion. Physica A: Stat. Mech. And Its Appl., 312(3), 381–391.
  • Ijioma, E.R., Izuhara, H., Mimura, M., and Ogawa, T. 2015a. Homogenization and fingering instability of a microgravity smoldering combustion problem with radiative heat transfer. Comb. Flame., 162(10), 4046–4062.
  • Ijioma, E.R., Muntean, A., and Ogawa, T. 2015b. Effect of material anisotropy on the fingering instability in reverse smoldering combustion. Int. J. Heat Mass Transfer., 81, 924–938.
  • Kagan, L., and Sivashinsky, G. 2008. Pattern formation in flame spread over thin solid fuels. Combust. Theory Modelling, 12(2), 269–281.
  • Kostin, S.V., Krishenik, P.M., Ozerkovskaya, N.I., Firsov, A.N., and Shkadinskii, K.G. 2012. Cellular filtration combustion of porous layers. Combust. Expl. Shock Waves, 48(1), 1–9.
  • Kuwana, K., Kushida, G., and Uchida, Y. 2014. Lewis number effect on smoldering combustion of a thin solid. Combust. Sci. Technol., 186(4–5), 466–474.
  • Lu, Z., and Dong, Y. 2011. Fingering instability in forward smolder combustion. Combust. Theory Modelling, 15(6), 795–815.
  • Malchi, J.Y., Yetter, R.A., Son, S.F., and Risha, G.A. 2007. Nano-aluminum flame spread with fingering combustion instabilities. Proc. Combustion Inst., 31(2), 2617–2624.
  • Olson, S.L., Baum, H.R., and Kashiwagi, T. 1998. Finger-like smoldering over thin cellulosic sheets in microgravity. Int. Symp. Combust., 27(2), 2525–2533.
  • Olson, S.L., Miller, F.J., and Wichman, I.S. 2006. Characterizing fingering flamelets using the logistic model. Combust. Theory Modelling, 10(2), 323–347.
  • Polyanin, A.D., and Nazaikinskii, V.E. 2015. Handbook of Linear Partial Differential Equations for Engineers and Scientists, Chapman and Hall/CRC Press: Boka Raton, FL.
  • Wang, S., Wang, S., Zhu, K., Xiao, Y., and Lu, Z. 2016. Near quenching limit instabilities of concurrent flame spread over thin solid fuel. Combust. Sci. Technol., 188(3), 451–471.
  • Zeldovich, I., Barenblatt, G.I., Librovich, V.B., and Makhviladze, G.M. 1985. The Mathematical Theory of Combustion and Explosions, Consultants Bureau, New York.
  • Zik, O., and Moses, E. 1999. Fingering instability in combustion: an extended view. Phys. Rev. E., 60(1), 518–531.
  • Zik, O., Olami, Z., and Moses, E. 1998. Fingering instability in combustion. Phys. Rev. Lett., 81(18), 3868–3871.

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