Wk. Chow et Nk. Fong, APPLICATION OF FIELD MODELING TECHNIQUE TO SIMULATE INTERACTION OF SPRINKLER AND FIRE-INDUCED SMOKE LAYER, Combustion science and technology, 89(1-4), 1993, pp. 101-151
The interaction between the sprinkler water spray and the free induced
convective air flow is studied using the field modelling technique. A
system of equations describing conservation of momentum, enthalpy and
mass is used to simulate the physical picture. Solution of the proble
m is divided into two parts: gas phase and liquid phase. In the gas ph
ase, a two-equation kappa - epsilon model is used to account far the t
urbulent effect with the solid wall boundary described by the traditio
nal wall functions. Numerical finite difference method is employed to
solve the system of coupled non-linear partial differential equations.
The equations are firstly discretized by the Power Law scheme and the
n solved using the Pressure Implicit with Splitting of Operators (PISO
) algorithm. For the liquid phase, the sprinkler water spray is descri
bed by a collection of water droplets with different values of initial
velocity components and diameter calculated from the Rossin-Rammler d
istribution function. The motion of each droplet is described by the N
ewton's Second Law with air drag and convective heat transfer from the
fire induced smoke layer. This set of ordinary differential equations
is solved by the fourth order Runge-Kutta method for predicting the d
roplet trajectories. To simplify the physical picture and bearing in m
ind that evaporative heat loss measured experimentally is small, coupl
ing of the momentum and heat transfer between the smoke layer and wate
r droplets is described by the Particle-Source-In-Cell method. In this
way, two-phase flow analysis is avoided by taking the sprinkler water
spray as a system of `hard-spheres'. Neither combustion nor water sup
pression effect on the burning object is included. However, a `microsc
opic' view an the resultant sprinklered fire air-flow pattern, tempera
ture and droplet properties can be visualized. Macroscopic parameters
such as the drag to buoyancy ratio and the amount of convective heat t
ransfer are predicted.