Skip to main content
Log in

Investigation of effective dimensionless numbers on initiation of instability in combustion of moisty organic dust

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

In this work, the effect of various effective dimensionless numbers and moisture contents on initiation of instability in combustion of moisty organic dust is calculated. To have reliable model, effect of thermal radiation is taken into account. One-dimensional flame structure is divided into three zones: preheat zone, reaction zone and post-flame zone. To investigate pulsating characteristics of flame, governing equations are rewritten in dimensionless space-time (ξ, η, τ) coordinates. By solving these newly achieved governing equations and combining them, which is completely discussed in body of article, a new expression is obtained. By solving this equation, it is possible to predict initiation of instability in organic dust flame. According to the obtained results by increasing Lewis number, threshold of instability happens sooner. On the other hand, pulsating is postponed by increasing Damköhler number, pyrolysis temperature or moisture content. Also, by considering thermal radiation effect, burning velocity predicted by our model is closer to experimental results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. LEU J H. Biomass power generation through direct integration of updraft gasifier and stirling engine combustion system [J]. Advances in Mechanical Engineering, 2010: 1–7.

    Google Scholar 

  2. CARLSEN H N, AMMUNDSEN N, TRAERUP J. 40kW stirling engine for solid fuel [C]// In Proceedings of the 31st Intersociety Energy Conversion Engineering Conference. Washington DC, USA, 1996: 23–34.

    Google Scholar 

  3. JENSEN N, WERLING J. CHP from updraft gasifier and stirling engine [C]// In Proceedings of the 12th European Biomass Conference. Amsterdam, The Netherlands, 2002: 131–149.

    Google Scholar 

  4. LANE N, BEALE W. Micro-biomass electric power generation [C]// In Proceedings of the 3rd Biomass Conference of the America, Montreal, Canada, 1997: 83–104.

    Google Scholar 

  5. HAN O S, YASHIMA M, MATSUDA T, MATSUI H, MIYAKE A, OGAWA T. Behavior of flames propagating through lycopodium dust clouds in a vertical duct [J]. Journal of Loss Prevention in the Process Industries, 2000, 13: 449–457.

    Article  Google Scholar 

  6. YAN-SONG Z, LI-LI H, LEI W. Mechanism research of gas and coal dust explosion [J]. Journal of Coal Science and Engineering, 2009, 15(2): 171–174.

    Article  Google Scholar 

  7. BURGOYNE J H, COHEN L. The effect of drop size on flame propagation in liquid aerosols [J]. Proc Roy Soc Lond, 1954, 225(1162): 375–392.

    Article  Google Scholar 

  8. BROWNING J A, TYLER T L, KRALL W G. Effect of particle size on combustion of uniform suspensions [J]. J Industrial and Engineering Chemistry, 1957, 49(1): 142–147.

    Article  Google Scholar 

  9. POLYMEROPOULOS C E. Flame propagation in a one-dimensional liquid fuel spray [J]. Combustion Science and Technology, 1974, 9(5/6): 197–207.

    Article  Google Scholar 

  10. BALLAL D R, LEFEBVRE A H. Flame propagation in heterogeneous mixtures of fuel droplets, fuel vapor and air [J]. Proc Combust Inst, 1981, 18: 321–328.

    Article  Google Scholar 

  11. MYERS G D, LEFEBVRE A H. Flame propagation in heterogeneous mixtures of fuel drops and air [J]. Combustion and Flame, 1986, 66(2): 193–210.

    Article  Google Scholar 

  12. SILVERMAN I, GREENBERG J B, TAMBOUR Y. Stoichiometry and polydisperse effects in premixed spray flames [J]. Combustion and Flame, 1993, 93(1/2): 97–118.

    Article  Google Scholar 

  13. ATZLER F, LAWES M. Burning velocities in droplet suspensions [C]// Proc ILASS-Europe 98, Manchester, 1998: 6–8.

    Google Scholar 

  14. NUNOME Y, KATO S, MARUTA K, KOBAYASHI H, NIIOKA T. Flame propagation of n-decane spray in microgravity [J]. Proceedings of the Combustion Institute, 2002, 29(2): 2621–2626.

    Article  Google Scholar 

  15. WILLIAMS F A. Combustion theory [M]. Addison-Wesley, Redwood City, 1985.

    Google Scholar 

  16. PETERS N, WILLIAMS F A. The asymptotic structure of stoichiometric methane-air flames [J]. Combustion and Flame, 1987, 68(2): 185–207.

    Article  Google Scholar 

  17. BARENBLATT G I, ZELDOVICH Y B, ISTRATOV A G. On diffusional-thermal stability of a laminar flame [J]. J Appl Mech Tech Phys, 1962, 4: 21–26.

    Google Scholar 

  18. SIVASHINSKY G I. Diffusional-thermal theory of cellular flames [J]. Combustion Science and Technology, 1977, 15(3/4): 137–146.

    Article  Google Scholar 

  19. JOULIN G, CLAVIN P. Linear stability analysis of nonadiabatic flames: Diffusional-thermal model [J]. Combustion and Flame, 1979, 35: 139–153.

    Article  Google Scholar 

  20. BIDABADI M, HAGHIRI A, RAHBARI A. The effect of Lewis and Damköhler numbers on the flame propagation through micro-organic dust particles [J]. International Journal of Thermal Sciences, 2010, 49(3): 534–542.

    Article  Google Scholar 

  21. PROUST C. Flame propagation and combustion in some dust-air mixtures [J]. Journal of Loss Prevention in the Process Industries, 2006, 19: 89–100.

    Article  Google Scholar 

  22. ROGG B. In numerical methods in laminar flame propagation [M]. Braunschweig/Wiesbaden, Germany, Friedrich Vieweg & Sohn, 1982: 38–48.

    Book  Google Scholar 

  23. YUAN J, JU Y, LAW C K. Pulsating and hydrodynamic instabilities at large Lewis numbers [J]. Combustion and Flame, 2006, 144(1/2): 386–397.

    Article  Google Scholar 

  24. HAGHIRI A, BIDABADI M. Modeling of laminar flame propagation through organic dust cloud with thermal radiation effect [J]. International Journal of Thermal Sciences, 2010, 49(8): 1446–1456.

    Article  Google Scholar 

  25. MODEST M F. Radiative heat transfer [M]. New York: McGraw-Hill, 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Farzad Faraji Dizaji.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bidabadi, M., Dizaji, F.F., Dizaji, H.B. et al. Investigation of effective dimensionless numbers on initiation of instability in combustion of moisty organic dust. J. Cent. South Univ. 21, 326–337 (2014). https://doi.org/10.1007/s11771-014-1944-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-014-1944-1

Key words

Navigation