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IJAMR International Journal of Applied Mathematical Research E-ISSN 2227-4324

Optimum Droplet Motion in Fire Plumes

Authors and Affiliations

  • Vasily Novozhilov University of Ulster, UK

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Abstract

The present paper introduces analytical model applicable for analysis of motion of water droplets injected into fire-generated plumes. The model is derived from Lagrangian equation of droplet motion.

Application of the developed model to the practically important problem that is fire suppression by water sprays is discussed. A criterion for optimum spray dynamics is proposed. An analytical expression is provided for the optimum droplet size in the spray as a function of Heat Release Rate (HRR) of fire.

The present approach provides a quick estimation of optimum spray parameters for a particular fire suppression application.

Author Biography

  • Vasily Novozhilov, University of Ulster, UK
    Professor of Fire Dynamics
    School of the Built Environment

References

[1] Morsi, S.A. and Alexander, A.J., ”An Investigation of Particle Trajectories in Two-phase Flow Systems”, Journal of Fluid Mechanics, Vol. 55, (1972), pp. 193-208.

[2] Novozhilov, V., “On some Integrable Cases of Particle Motion in a Fluid”, Mathematics in Engineering, Science and Aerospace, Vol. 1, No. 4, (2010), pp. 371-380.

[3] Novozhilov, V., Harvie, D.J.E., Green, A.R. and Kent, J.H., “A Computational Fluid Dynamics Model of Fire Burning Rate and Extinction by Water Sprinkler“, Combustion Science and Technology, Vol. 123, No. 1-6, (1997), pp. 227-245.

[4] Novozhilov, V., Harvie, D.J.E., Kent, J.H., Apte, V.B. and Person, D., “A Computational Fluid Dynamics Study of Wood Fire Extinguishment by Water Sprinkler“, Fire Safety Journal, Vol. 29, No. 4, (1997), pp. 259-282.

[5] Novozhilov, V., ”Fundamentals and Application of Fire Suppression Modeling”, Proceedings of the Second NRIFD Symposium – Science, Technology and Standards for Fire Suppression Systems, (2002), pp. 195-215.

View more references (9)

[6] Grant, G., Brenton, J. and Drysdale, D., “Fire Suppression by Water Sprays“, Progress in Energy and Combustion Science, Vol. 26, (2000), pp. 79-130.

[7] Herterich, O., Water as an Extinguishing Agent, Alfred Hüthig Publishing Company, (1960).

[8] Ohkubo, H. and Nishio, S., “Study on Accurate Prediction of Heat Transfer Characteristics of Mist Cooling“, International Journal of Japanese Society of Mechanical Engineers, Series II, Vol. 33, No. 2, pp. 326-332.

[9] Kaleta, A., “Effect of Drop Size on Extinguishing Effectiveness of a Water Spray”, Archiwum Combustionis, Vol. 6, No. 3-4, (1986), pp. 201- 212.

[10] Kuo, K.K., Principles of Combustion, Wiley, (2005).

[11] Dickerson, R.A. and Schuman, M. D., Journal of Spacecraft, (1960), p. 99.

[12] Polyanin, A.D., Zaitsev, V.F., Exact Solutions for Ordinary Differential Equations (2nd ed.), Chapman & Hall/CRC, (2003).

[13] Karlsson, B. and Quintiere, J.G., Enclosure Fire Dynamics, CRC Press, (2003).

[14] Lefebvre, A., Atomization and Sprays, Hemisphere, (1989).


How to Cite

Novozhilov, V. (2012). Optimum Droplet Motion in Fire Plumes. International Journal of Applied Mathematical Research, 1(3), 234-247. https://doi.org/10.14419/ijamr.v1i3.90