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Modeling of aluminum particle combustion with emphasis on the oxide effects and variable transport properties

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Abstract

A simplified analytical modeling of single aluminum particle combustion was conducted. Ignition and quasi-steady combustion (QSC) were separately formulated and integrated. Both the heat transfer from the hot ambient gas and the enthalpy of heterogeneous surface reaction (HSR) served to cause the particle ignition. Conservation equations were solved for QSC parameters in conjunction with conserved scalar formulation and Shvab-Zeldovich function. Limit temperature postulate was formulated by a sink term pertinent to the dissociation of the aluminum oxide near the flame zone. Effective latent heat of vaporization was modified for the thermal radiation. Ignition and QSC of the aluminum particle were predicted and discussed with emphasis on the effect of the aluminum oxide and variable properties. The model was validated with the experiments regarding ignition delay time, burning rate, residue particle size, flame temperature, QSC duration, and stand-off distance of the envelop flame. Agreement was satisfactory and the prediction errors were limited within 10%.

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References

  1. T. A. Brzustowski and I. Glassman, Vapor-phase diffusion flames in the combustion of magnesium and aluminum: I. Analytical developments, Heterogeneous Combustion Conference, Palm beach, Florida, (1963) 1–14.

  2. T. A. Brzustowski and I. Glassman, vapor-phase diffusion flames in the combustion of magnesium and aluminum: II. Experimental observations in oxygen atmospheres, Heterogeneous Combustion Conference, Palm beach, Florida, (1963) 1–14.

  3. M. A. Trunov, M. Schoenitz and E. L. Dreizin, Effect of polymorphic phase transformations in alumina layer on ignition of aluminium particles, Combustion Theory and Modelling, 10(4) (2006) 603–623.

    Article  MATH  Google Scholar 

  4. M. A. Trunov, M. Schoenitz, X. Zhu and E. L. Dreizin, Effect of polymorphic phase transformations in Al2O3 film on oxidation kinetics of aluminum powders, Combustion and Flame, 140(4) (2005) 310–318.

    Article  Google Scholar 

  5. E. L. Dreizin, Experimental study of aluminum particle flame evolution in normal and micro-gravity, Combustion and Flame, 116(3) (1998) 323–333.

    Article  Google Scholar 

  6. E. L. Dreizin, Phase changes in metal combustion, Progress in Energy and Combustion Science, 26(1) (2000) 57–78.

    Article  Google Scholar 

  7. J. C. Melcher, R. L. Burton and H. Krier, Combustion of Aluminum Particles in Solid-Rocket Motor Flows, Progress in astronautics and aeronautics, 185 (2000) 723–748.

    Google Scholar 

  8. M. A. Gurevich, K. I. Lapkina and E. S. Ozerov, Ignition limits of aluminum particles, Combustion, Explosion, and Shock Waves, 6(2) (1972) 154–157.

    Article  Google Scholar 

  9. A. A. Razdobreev, A. I. Skorik and Y. V. Frolov, Ignition and combustion mechanism in aluminum particles, Combustion, Explosion, and Shock Waves, 12(2) (1977) 177–182.

    Article  Google Scholar 

  10. D. Meinkohn and G. A. C. Dlr, Oxide Layer Effects in Metal Particle Combustion, Proceedings of the 5th International Microgravity Combustion Workshop, Cleveland, Ohio, (1999) 219–222.

  11. A. V. Fedorov and Y. V. Kharlamova, Ignition of an Aluminum Particle, Combustion, Explosion and Shock Waves, 39 (5) (2003) 544–547.

    Article  Google Scholar 

  12. I. Glassman, Metal combustion processes, AFOSR-TN-59-1093, Aeornautical Engineering Laboratory, (1959).

  13. C. K. Law, A simplified theoretical model for the vaporphase acombustion of metal particles, Combustion Science and Technology, 7(5) (1973) 197–212.

    Article  Google Scholar 

  14. Y. Liang and M. W. Beckstead, Numerical simulation of unsteady, single aluminum particle combustion in air, 34th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, Cleveland, OH, (1998) 1–10.

  15. Y. Fabignon, O. Orlandi, J. F. Trubert, D. Lambert and J. Dupays, Combustion of Aluminum Particles in Solid Rocket Motors, 39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Huntsville, Alabama, (2003) 1–10.

  16. V. A. Babuk and V. A. Vasilyev, Model of aluminum agglomerate evolution in combustion products of solid rocket propellant, Journal of Propulsion and Power, 18(4) (2002) 814–823.

    Article  Google Scholar 

  17. J. C. Melcher, H. Krier and R. L. Burton, Burning aluminum particles inside a laboratory-scale solid rocket motor, Journal of Propulsion and Power, 18(3) (2002) 631–640.

    Article  Google Scholar 

  18. P. Bucher, R. A. Yetter, F. L. Dryer, T. P. Parr, D. M. Hanson-Parr and E. P. Vicenzi, Flame structure measurement of single, isolated aluminum particles burning in air, Symposium (International) on Combustion, 2 (1996) 1899–1908.

    Article  Google Scholar 

  19. F. A. Williams, Some Aspects of Metal Particle Combustion, Taylor & Francis, (1997).

  20. M. Marion, C. Chauveau and I. Gokalp, Studies on the ignition and burning of levitated aluminum particles, Combustion Science and Technology, 115(4–6) (1996) 369–390.

    Article  Google Scholar 

  21. P. E. DesJardin, J. D. Felske and M. D. Carrara, Mechanistic model for aluminum particle ignition and combustion in air, Journal of Propulsion and Power, 21(3) (2005) 478–485.

    Article  Google Scholar 

  22. I. Glassman, Combustion, 2nd edition, Orlando, FL (United States), Academic Press, Inc., United States, (1987).

    Google Scholar 

  23. K. K. Kuo, Principles of combustion, Elsevier Science Pub. Co. Inc., New York, NY, United States, (1986).

    Google Scholar 

  24. W. A. Sirignano, Fluid Dynamics and Transport of Droplets and Sprays, Cambridge University Press, Cambridge, UK, (1999).

    Book  Google Scholar 

  25. J. F. Widener, Y. Liang and M. W. Beckstead, Aluminum combustion modeling in solid propellant environments, 35th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Los Angeles, California, (1999) 1–16.

  26. L. P. H. Jeurgens, W. G. Sloof, F. D. Tichelaar and E. J. Mittemeijer, Thermodynamic stability of amorphous oxide films on metals: Application to aluminum oxide films on aluminum substrates, Physical Review B — Condensed Matter and Materials Physics, 62(7) (2000) 4707–4719.

    Google Scholar 

  27. L. P. H. Jeurgens, W. G. Sloof, F. D. Tichelaar and E. J. Mittemeijer, Structure and morphology of aluminium-oxide films formed by thermal oxidation of aluminium, Thin Solid Films, 418(2) (2002) 89–101.

    Article  Google Scholar 

  28. L. P. H. Jeurgens, W. G. Sloof, F. D. Tichelaar and E. J. Mittemeijer, Growth kinetics and mechanisms of aluminumoxide films formed by thermal oxidation of aluminum, Journal of Applied Physics, 92(3) (2002) 1649.

    Article  Google Scholar 

  29. J. Sanchez-Lopez, A. Gonzalez-Elipe and A. Fernandez, Passivation of nanocrystalline Al prepared by the gas phase condensation method: An x-ray photoelectron spectroscopy study, Journal of Materials Research, 13(3) (1998) 703–710.

    Article  Google Scholar 

  30. P. E. Doherty and R. S. Davis, Direct observation of the oxidation of aluminum single-crystal surfaces, Journal of Applied Physics, 34(3) (1963) 619–628.

    Article  Google Scholar 

  31. K. Thomas and M. W. Roberts, Direct observation in the electron microscope of oxide layers on aluminum, Journal of Applied Physics, 32(1) (1961) 70–75.

    Article  Google Scholar 

  32. V. A. Ermakov, A. A. Razdobreev, A. I. Skorik, V. V. Pozdeev and S. S. Smolyakov, Temperature of aluminum particles at the time of ignition and combustion, Combustion, Explosion, and Shock Waves, 18(2) (1982) 256–257.

    Article  Google Scholar 

  33. Y. V. Frolov, P. F. Pokhil and V. S. Logachev, Ignition and combustion of powdered aluminum in high-temperature gaseous media and in a composition of heterogeneous condensed systems, Combustion, Explosion, and Shock Waves, 8(2) (1974) 168–187.

    Article  Google Scholar 

  34. R. Friedman and A. Macek, Ignition and combustion of aluminium particles in hot ambient gases, Combustion and Flame, 6 (1962) 9–19.

    Article  Google Scholar 

  35. P. George and P. E. DesJardin, Effects of heterogeneous surface reactions on the ignition of aluminum particles, 42nd AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, (2004) 9018–9029.

  36. B. Abramzon and W. A. Sirignano, Droplet vaporization model for spray combustion calculations, International Journal of Heat and Mass Transfer, 32(9) (1989) 1605–1618.

    Article  Google Scholar 

  37. S. K. Aggarwal, A. Y. Tong and W. A. Sirigano, Comparison of vaporization models in spray calculations, AIAA journal, 22(10) (1984) 1448–1457.

    Article  Google Scholar 

  38. T. Roberts, Ignition and combustion of aluminum/magnesium alloy particles in O 2 at high pressures, Combustion and Flame, 92(1) (1993) 125–143.

    Article  Google Scholar 

  39. D. Tatum and K. K. Kuo, Physicochemical considerations in modeling ignition & combustion of highly non-spherical nano-sized aluminum particles, 39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Huntsville, Alabama, (2003) 1–11.

  40. R. A. Svehla, Estimated Viscosities and Thermal Conductivities of Gases at High Temperature, TR-132, NASA, (1962).

  41. P. F. Paradis and T. Ishikawa, Surface Tension and Viscosity Measurements of Liquid and Undercooled Alumina by Containerless Techniques, Japanese Journal of Applied Physics, 44(7A) (2005) 5082–5085.

    Article  Google Scholar 

  42. V. M. Boiko and S. V. Poplavski, Self-ignition and ignition of aluminum powders in shock waves, Shock Waves, 11(4) (2002) 289–295.

    Article  Google Scholar 

  43. A. G. Merzhanov, Y. M. Grigorjev and Y. A. Gal’chenko, Aluminium ignition, Combustion and Flame, 29(C) (1977) 1–14.

    Article  Google Scholar 

  44. F. Incropera and D. DeWitt, Introduction to heat transfer, John Wiley & Sons New York, (1996).

  45. E. L. Dreizin, Experimental study of stages in aluminum particle combustion in air, Combustion and Flame, 105(4) (1996) 541–556.

    Article  Google Scholar 

  46. E. C. Ruttenberg, Burning Characteristics of Individual Aluminum/Aluminum Oxide particle Aeronautics and Astronautics Dept., Naval Postgraduate School, Monterey, California, (1996) 1–48.

    Google Scholar 

  47. A. F. Belyaev, Y. V. Frolov and A. I. Korotkov, Combustion and ignition of particles of finely dispersed aluminum, Combustion, Explosion, and Shock Waves, 4(3) (1971) 182–185.

    Article  Google Scholar 

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Correspondence to Woongsup Yoon.

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This paper was recommended for publication in revised form by Associate Editor Ohchae Kwon

Heesung Yang received B. S. (2003) degree from Yonsei University, Korea. He is a PhD candidate in Mechanical Engineering at Yonsei University. His current interests are vaporization, combustion of droplet and metallic particle combustion.

Woongsup Yoon received B. S. (1985) degree from Yonsei University, Korea. He received M. S.(1989) degree from Missouri-Rolla University and PhD(1992) degree from Alabama University, USA. Dr. Yoon is currently a Professor at the school of Mechanical Engineering at Yonsei University in Seoul, Korea.

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Yang, H., Yoon, W. Modeling of aluminum particle combustion with emphasis on the oxide effects and variable transport properties. J Mech Sci Technol 24, 909–921 (2010). https://doi.org/10.1007/s12206-010-0209-7

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  • DOI: https://doi.org/10.1007/s12206-010-0209-7

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