An analytical model for water spray interaction with fire plume

Abstract

We consider Lagrangian model of droplet movement in axisymmetric fluid flow. Development of the model is motivated by application to fire suppression scenarios by means of water sprinklers or water mist systems. In contrast to existing models equations of droplet motion are explicitly Integrated in much more general case, with axial flow velocity being arbitrary function of two spatial coordinates. Droplet evaporation is fully accounted for. Explicit formulas are derived for vaporization rate density and drag force on the flow at an arbitrary location.