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Enclosure fires

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Ignition time<br />

Ignition time can also be calculated using Equation 2, which is a reformulation<br />

of Equation 1. Note that the heat resistance from the surface has been omitted<br />

and that the ignition temperature most often lies in the range of 300 °C–400 °C.<br />

When the ignition temperature T sa is known the ignition time t a can be<br />

calculated:<br />

(T sa – T i ) 2<br />

t a = 4(q") 2 k3c × p<br />

Let us take as an example a fi re room where a fl ashover has occurred. If the<br />

temperature in the room is around 600 °C all the surfaces will be affected by<br />

radiation in the order of 30 kW/m 2 . If we calculate the length of time it takes to<br />

ignite combustible chipboard, for instance, the calculations to be carried out are<br />

as follows, assuming that the ignition temperature T sa = 400 °C. The k3c value is<br />

taken from Table 1.<br />

(400 – 20) 2<br />

t a = 4(30 000) 2 120 000 × p u 15 seconds<br />

Equation 2<br />

This is a rough estimate and must not be regarded as a precise value. In actual<br />

fact, the material will heat up at the same time as the surface cools down as a<br />

certain amount of heat radiation leaves the surface. If you decide beforehand<br />

that the surface should not be heated up beyond a certain temperature, you can<br />

calculate the length of time the surface can be subjected to a certain amount of<br />

heat, i.e. a certain amount of incident radiation, until it reaches the preset<br />

temperature.<br />

Material k<br />

(W/mK)<br />

c<br />

(J/kgK)<br />

3<br />

(kg/m 3 )<br />

k3c<br />

(W 2 s/m 4 K 2 )<br />

Chipboard 0.14 1,400 600 120,000<br />

Wood fi bre<br />

board<br />

0.05 2,090 300 32,000<br />

Polyurethane 0.034 1,400 30 1,400<br />

Steel 45 460 7,820 160,000,000<br />

Pine tree 0.14 2,850 520 210,000<br />

Table 1. Thermal<br />

inertia for different<br />

materials.<br />

23

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