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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 />
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