Analysis of a numerical method for studying upward flame spread over solid material

 pdf (18693K)  / Annotation

List of references:

  1. А. А. Карпов, А. А. Шаклеин, А. А. Болкисев, М. А. Корепанов. К расчету скорости распространения пламени по поверхности полимерного материала. Влияние кинетики газофазной реакции // Химическая физика и мезоскопия. — 2016. — Т. 18, № 4. — С. 501–508.
    • A. A. Karpov, A. A. Shaklein, A. A. Bolkisev, M. A. Korepanov. On the prediction of the flame spread rate over polymer fuel surface. Effect of the gas-phase reaction kinetics // Chemical kinetics and mesoscopy. — 2016. — V. 18, no. 4. — P. 501–508.
  2. Р. И. Нигматулин. Основы механики гетерогенных сред. — М: Наука, 1978. — 336 с.
    • R. I. Nigmatulin. Heterogeneous medium mechanics theory. — Moscow: Nauka, 1978. — 336 p. — in Russian. — MathSciNet: MR0518814.
  3. А. В. Сафронов. Оценка точности и сравнительный анализ разностных схем сквозного счета повышенного порядка // Вычислительные методы и программирование. — 2010. — Т. 11. — С. 137–143.
    • A. V. Safronov. Accuracy estimation and comparative analysis of difference schemes of high-order approximation // Numerical Methods and Programming. — 2010. — V. 11. — P. 137–143.
  4. А. А. Шаклеин, А. А. Карпов, М. А. Корепанов. Моделирование распространения пламени по вертикальной поверхности горючего материала. Оценка вклада радиационного теплопереноса // Химическая физика и мезоскопия. — 2014. — Т. 16, № 2. — С. 226–234.
    • A. A. Shaklein, A. A. Karpov, M. A. Korepanov. Simulation of the upward flame spread. Radiative heat transfer evaluation // Chemical kinetics and mesoscopy. — 2014. — V. 16, no. 2. — P. 226–234.
  5. S. Bhattacharjee, M. D. King, C. Paolini. Structure of downward spreading flames: a comparison of numerical simulation, experimental results and a simplified parabolic theory // Combustion Theory and Modelling. — 2004. — V. 8, no. 1. — P. 23–39. — DOI: 10.1088/1364-7830/8/1/002. — ads: 2004CTM.....8...23B.
  6. B. Cockburn, C. Jonhson, C.-W. Shu, E. Tamdor. Advanced numerical approximation of nonlinear hyperbolic equations. — Springer, 1998. — 454 p. — MathSciNet: MR1729305.
  7. J. L. de Ris, G. H. Markstein, L. Orloff, P. A. Beaulieu. Similarity of turbulent wall fire // Fire safety science. — 2003. — V. 7. — P. 259–270. — DOI: 10.3801/IAFSS.FSS.7-259.
  8. D. D. Drysdale, A. J. R. Macmillan. Flame spread on inclined surfaces // Fire safety journal. — 1992. — V. 18. — P. 245–254. — DOI: 10.1016/0379-7112(92)90018-8.
  9. J. H. Ferzinger, M. Peric. Computational methods for fluid dynamics. — Springer, 2002. — 426 p. — MathSciNet: MR1745618.
  10. C. Fureby, C. Lofstrom. Large-eddy simulations of bluff body stabilized flames / Twenty-Fifth Symposium (Internaional) on Combustion, The Combustion Institute. — 1994. — P. 1257–1264.
  11. C. Gualtieri, A. Angeloudis, F. Bombardelli, S. Jha, T. Stoesser. On the values for the turbulent Schmidt number in environmental flows // Fluids. — 2017. — V. 2, no. 2. — 27 p. — DOI: 10.3390/fluids2020017.
  12. Y. Hasemi. Thermal modeling of upward wall flame spread / Fire Safety Science: Proceedings of the First International Symposium. — 1985. — P. 87–96.
  13. R. I. Issa. Solution of the implicitly discretised fluid flow equations by operator-splitting // Journal of Computational Physics. — 1985. — V. 62. — P. 40–65. — DOI: 10.1016/0021-9991(86)90099-9. — MathSciNet: MR0825890. — ads: 1986JCoPh..62...40I.
  14. F. Jiang, J. L. de Ris, M. M. Khan. Absorption of thermal energy in PMMA by in-depth radiation // Fire Safety Journal. — 2009. — V. 44. — P. 106–112. — DOI: 10.1016/j.firesaf.2008.04.004.
  15. A. Karpov, A. Shaklein, M. Korepanov, A. Galat. Numerical Study of the Radiative and Turbulent Heat Flux Behavior of Upward Flame Spread Over PMMA / Fire Science and Technology 2015. The Proceedings of 10th Asia-Oceania Symposium on Fire Science and Technology. — 2016. — P. 841–848.
  16. F. P. Karrhorm. Numerical modelling of diesel spray injection, turbulence interaction and combustion. — Goteborg: Chalmers University of Technology, 2008. — 110 p. — diss. . . . PhD.
  17. I. T. Leventon, S. I. Stoliarov. Evolution of flame to surface heat flux during upward flame spread on poly(methyl methacrylate) // Proceedings of the Combustion Institute. — 2013. — V. 34. — P. 2523–2530. — DOI: 10.1016/j.proci.2012.06.051.
  18. F. B. Magnussen, B. H. Hjertager. On mathematical modelling of turbulent combustion with special emphasis on soot formation and combustion / Symposium (International) on Combustion. — 1977. — P. 719–729.
  19. F. R. Menter, M. Kuntz, R. Langtry. Ten years of industrial experience with the SST turbulence model // Turbulence, Heat and Mass Transfer. — 2003. — V. 4. — P. 625–632.
  20. M. F. Modest. Radiative heat transfer. — Academic Press, 2003. — 822 p.
  21. V. Novozhilov, P. Joseph, K. Ishiko, T. Shimada, H. Wang, J. Liu. Polymer combustion as a basis for hybrid propulsion: a comprehensive review and new numerical approaches // Energies. — 2011. — V. 4. — P. 1779–1839. — DOI: 10.3390/en4101779.
  22. S. V. Patankar. Numerical heat transfer and fluid flow. — CRC Press, 1980. — 214 p.
  23. J. Quintiere, M. Harkleroad, Y. Hasemi. Wall Flames and implications for Upward Flame Spread // Combustion Science and Technology. — 1986. — V. 48, no. 3–4. — P. 191–222. — DOI: 10.1080/00102208608923893.
  24. N. Ren, Y. Wang, A. Trouve. Large eddy simulation of vertical turbulent wall fires / The 9th Asia-Oceania Symposium on Fire Science and Technology. — 2013. — P. 443–452.
  25. C. M. Rhie, W. L. Chow. A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation / AIAA/ASME 3rd joint thermophysics, fluids, plasma and heat transfer coference. — 1982. — P. 0998–1–0998–12.
  26. J. Shi, C. Hu, C.-W. Shu. A technique of treating negative weights in WENO schemes // Journal of Computational Physics. — 2002. — V. 175. — P. 108–127. — DOI: 10.1006/jcph.2001.6892. — ads: 2002JCoPh.175..108S.
  27. C.-W. Shu. High orded weighted essentially nonoscillatory schemes for convection dominanted problems // SIAM Review. — 2009. — V. 51, no. 1. — P. 82–126. — DOI: 10.1137/070679065. — MathSciNet: MR2481112. — ads: 2009SIAMR..51...82S.
  28. T. Steinhaus. Evaluation of the thermophysical properties of poly(methylmethacrylate): a reference material for the development of a flammability test for micro-gravity environments. — The University of Maryland, 1999. — 194 p. — diss. . . . MSc.
  29. P. K. Sweby. High resolution schemes using flux limiters for hyperbolic conservation laws // SIAM Journal on Numerical Analysis. — 1984. — V. 21, no. 5. — P. 995–1011. — DOI: 10.1137/0721062. — MathSciNet: MR0760628. — ads: 1984SJNA...21..995S.
  30. H. Y. Wang, B. Chateil. Numerical simulation of wind-aided flame spread over horizontal surface of condensed fuel in a confined channel // International journal of on engineering performance-based fire codes. — 2007. — V. 9, no. 2. — P. 65–77.
  31. J. Warnatz, U. Maas, R. W. Dibble. Combustion: physical and chemical fundamentals, modeling and simulation, experiments, pollutant formation. — Springer, 2006. — 389 p.
  32. H. G. Weller, G. Tabor, H. Jasak, C. Fureby. A tensorial approach to computational continuum mechanics using object-oriented techniques // Computers in physics. — 1998. — V. 12, no. 6. — P. 620–631. — DOI: 10.1063/1.168744. — ads: 1998ComPh..12..620W.
  33. F. A. Williams. Combustion theory. — Princeton University, 1985. — 699 p.
  34. D. A. Yoder. Comparison of Turbulent Thermal Diffusivity and Scalar Variance Models / 54th AIAA Aerospace Sciences Meeting, AIAA SciTech Forum. — 2016. — 22 p. — AIAA 2016-1561.
  35. W. R. Zeng, S. F. Li, W. K. Chow. Review on chemical reactions of burning poly(methyl methacrylate) PMMA // Journal of Fire Sciences. — 2002. — V. 20. — P. 401–433.

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"