08.02.2013 Views

Enclosure fires

Enclosure fires

Enclosure fires

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Heat release rate from a fuel surface<br />

The heat release rate can be calculated using the following formula:<br />

Q = m"A f DH Cx<br />

where Q = heat release rate in W<br />

m" = mass loss rate in kg/m 2 s<br />

A f = area of fuel surface in m 2<br />

DH C = heat of combustion in the case of complete combustion in MJ/kg<br />

x = combustion effi ciency, which measures how effi ciently the fuel is<br />

used up. 1.0 equals complete combustion, i.e. all the energy is<br />

extracted.<br />

You now perform a simple sample calculation. Calculate the heat released from<br />

the fi re when a heptane pool with a diameter of 1.2 metres is burning. The<br />

equation can be used for both solid and liquid fuels.<br />

We need to have the following values (taken from another reference 5 ) in the<br />

calculations:<br />

DHC = 44.6 MJ/kg<br />

x = Assumed to be 0.7 (standard value for hydrocarbons)<br />

m" = 0.075 kg/m2s Af = p × D2 /4=3.14 × 1.2 × 1.2/4 = 1.13 m2 Equation 3<br />

This gives a total heat release rate of 0.075 × 1.13 × 0.7 × 44.6 × 10 6 = 2.6 MW<br />

Equation 3 shows indirectly how much energy can be stored in a smoke gas<br />

layer. 1 – x is the part of the energy accompanied by the fi re plume and<br />

contained in the smoke gases, which is, in this case, about 1.1 MW.<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 />

Table 2. Different k3c<br />

values for different<br />

materials.<br />

43

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!