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Experiments and Large Eddy Simulation of Underventilated Pool Fires

Experiments and Large Eddy Simulation of Underventilated Pool Fires

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<strong>Large</strong> <strong>Eddy</strong> <strong>Simulation</strong>s<br />

Numerical modeling <strong>of</strong> underventilated pool fires<br />

was performed using Fire Dynamics Simulator (FDS),<br />

Version 5, developed at NIST, with the accompanying<br />

Smokeview viewer for visualization <strong>of</strong> results [7-9].<br />

Earlier, FDS was successfully applied to modelling <strong>of</strong><br />

underventilated burner fires [6]. In this work, the fire<br />

source was provided by evaporating liquid fuel, <strong>and</strong> the<br />

fuel supply rate is determined by the heat flux on the<br />

pool surface due to conduction <strong>and</strong> radiation. Thus, the<br />

evaporation rate cannot be set ad hoc, rather, it is determined<br />

in the course <strong>of</strong> the solution.<br />

The combustion model used in all LES simulations<br />

is that available in FDS by default <strong>and</strong> based on the<br />

mixture fraction approach in which a transport equation<br />

for the mixture fraction (defined to be 1 in the fuel <strong>and</strong> 0<br />

in the oxidizer) is solved [7, 8]. The state relations for<br />

the fuel (heptane was used to simulate the petroleum<br />

ether which is a mixture <strong>of</strong> several hydrocarbons) are<br />

applied to restore the species concentrations <strong>and</strong> assess<br />

the volumetric heat release rate. The reaction is assumed<br />

to proceed at an infinite rate, so that the fuel <strong>and</strong> oxidized<br />

cannot co-exist on both side <strong>of</strong> the surface where<br />

the mixture fraction corresponds to the stoichiometric<br />

conditions. It should be noted that, according to this<br />

model, the fuel ignites immediately upon entering the<br />

atmosphere, rather that after reaching the ignition<br />

source.<br />

The calculations have shown that simulations by<br />

FDS give adequate qualitative picture <strong>of</strong> the process, as<br />

was the case when burner fires were modeled previously<br />

[6]. However, quantitative characteristics <strong>of</strong> the process,<br />

most importantly, time to flame exhaust, are very sensitive<br />

to such parameters as absorption coefficient <strong>and</strong><br />

thermal properties <strong>of</strong> pool liquid, which are somewhat<br />

uncertain because petroleum ether is a mixture <strong>of</strong> several<br />

hydrocarbons. Also, convection in the burning pool is<br />

known to affect the burning rate, but is not taken into<br />

account in the FDS model. More detailed studies are<br />

required to assess the sensitivity <strong>of</strong> flame exhaust time<br />

to each parameter. In this paper, we present the results<br />

<strong>of</strong> preliminary calculations which demonstrate the predictive<br />

capabilities <strong>of</strong> LES model.<br />

In Figs. 11 <strong>and</strong> 12, the results obtained for the geometry<br />

<strong>of</strong> fire box used in the experiments described in<br />

the previous sections are presented. The opening was<br />

chosen to be 0.18 m high <strong>and</strong> 0.1 m wide, the fuel<br />

source was a square pan with the side <strong>of</strong> 150 mm.<br />

In Fig. 11, the distributions <strong>of</strong> volumetric heat release<br />

rate are presented (visualized by Smokeview<br />

viewer [9]) at four time instants, representing the main<br />

stages <strong>of</strong> the process: initial fuel-controlled combustion<br />

at t = 7 s, oxygen starvation <strong>and</strong> slumping <strong>of</strong> flame to<br />

the floor where oxygen is still available at t = 70 s,<br />

flame propagation towards the ventilation opening <strong>and</strong><br />

its emergence outside the fire box at t = 150 s, <strong>and</strong>,<br />

finally, developed external flaming at t = 240 s. The<br />

temperature fields in the plane <strong>of</strong> symmetry are shown<br />

at the same instants in Fig. 12. The time to flame exhaust<br />

obtained in the calculations (about 140 s) is <strong>of</strong> the<br />

same order as observed experimentally with the same<br />

pool size for openings 2 <strong>and</strong> 3, but more detailed comparison<br />

<strong>and</strong> analysis have yet to be done.<br />

Conclusions<br />

<strong>Experiments</strong> with underventilated pool fires have<br />

shown that the time to flame exhaust strongly depends<br />

on the size <strong>of</strong> the fuel source, compartment geometry<br />

<strong>and</strong> ventilation factor. The temperatures measured inside<br />

the box during the experiments were relatively low<br />

(in the range <strong>of</strong> 220÷310°C). The height <strong>of</strong> the fuel pan<br />

walls also affects the time to flame exhaust.<br />

In the pool fire experiments it was found that flame<br />

exhaust process is much more repeatable than in the<br />

burner fire experiments. It seems that pool fires are<br />

“self-organizing”: the fuel supply rate is controlled by<br />

the radiative feed from the flame. For the same fire box<br />

configuration, it results in more stable <strong>and</strong> repeatable<br />

flame development, at least in terms <strong>of</strong> flame exhaust.<br />

CFD modeling is capable <strong>of</strong> capturing the main features<br />

<strong>of</strong> underventilated pool fires, although detailed<br />

parametric study <strong>of</strong> coupled physical phenomena has<br />

yet to be done.<br />

Acknowledgments<br />

The research was supported by EPSRG (Grant No.<br />

GR/S69122/01) <strong>and</strong> Russian Science Support Foundation.<br />

References<br />

1. Bullen, M. L., <strong>and</strong> Thomas, P. H., Proc. Comb.<br />

Inst., 17: 1139-1148 (1978).<br />

2. Drysdale, D., An Introduction to Fire Dynamics<br />

(2 nd edition). Wiley, Chichester, UK, 1999.<br />

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5

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