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.
|Journal||International Journal of Applied Mathematical Research|
|Publication status||Published (in print/issue) - 3 Jun 2012|