M. Caulfield et al., AN INTEGRAL MODEL OF TURBULENT JETS IN A CROSS-FLOW .2. FIRES, Process safety and environmental protection, 71(B4), 1993, pp. 243-251
A study of turbulent jets in a cross-flow is completed with the presen
tation of a mathematical model capable of predicting the thermal radia
tion fluxes received around fires. The model is based on solutions of
integral forms of the fluid dynamic equations and contains a one-dimen
sional formulation of the k-epsilon turbulence model. The gas-phase, t
urbulent non-premixed combustion process is modelled via the conserved
scalar/prescribed probability density function approach using the lam
inar flamelet concept, whilst soot formation and consumption is includ
ed through balance equations for soot mass fraction and particle numbe
r density which admit finite-rate kinetic effects. Levels of thermal r
adiation received around a fire are obtained using a heat transfer mod
el based on solutions of one-dimensional differential equations that s
pecify local heat fluxes both within and on the surface of a fire, wit
h view factor calculations being used to determine the fluxes received
by external objects. The usefulness of the complete model for predict
ing the consequences associated with accidental and operational releas
es of flammable gases has been assessed by comparing model predictions
with data obtained in both laboratory and field scale experiments. In
all cases, predictions of the model are shown to be in good agreement
with the available data. The complete model is applicable to releases
of gas at both subsonic and sonic velocities and, with short computer
run times, is ideal for routine use in performing consequence and ris
k assessments.