Optimum Droplet Motion in Fire Plumes

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.