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Fire ventilation

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The hydrodynamic pressure, i.e. the pressure resulting from the fl ow of the<br />

gas, at point 1 and point 2, will therefore be:<br />

ρv 2<br />

−−−−−<br />

2<br />

The fi rst law of thermodynamics (the principle of the conservation of energy)<br />

says that:<br />

ρ1v 2<br />

1 ρ2v 2<br />

2<br />

P1+ ρ1gh1+ −−−−− = P2+ ρ2gh2+ −−−−−<br />

2 2<br />

With the help of Bernoulli’s equation it is possible to derive and analyse what<br />

the pressure structure looks like in a building, and accordingly also how the<br />

fi re gases will fl ow.<br />

In what follows these pressure differences will be treated<br />

separately. In actual fact several or indeed all of these different<br />

types of pressure differences will arise and act simultaneously,<br />

for which reason a more simple line of reasoning<br />

around the problem will be left to the end of the chapter.<br />

Differences in temperature between<br />

outdoor and indoor air<br />

The air indoors is most often warmer than the air outdoors.<br />

Air that is heated up expands, takes up more space, and has a<br />

lower density than cold air. The pressure inside a building,<br />

where the air is warmer than outside, will therefore be higher<br />

than outside. This pressure strives towards equilibrium with<br />

the surroundings, and therefore the heated air fl ows out from<br />

the building; from the higher pressure inside the building to<br />

the lower pressure outside the building. Since a building is<br />

seldom or never completely tight, the (heated) air will always<br />

be forced out from the building and, at least gradually, be<br />

replaced by cold air fl owing in. If the openings are small, or if<br />

the pressure difference is large in relation to the size of the<br />

Pascal<br />

Pressure is measured<br />

in the international<br />

unit Pascal [Pa]. 1 Pa is<br />

the same as 1 N/m 2 (1<br />

Newton per square<br />

metre) or 10 –5 bar<br />

(0.00001 or ten million<br />

parts per bar). 1 Pa is<br />

approximately equivalent<br />

to the pressure a<br />

standard A4 sheet of<br />

paper exerts on the<br />

surface of the table.<br />

The normal air pressure<br />

is 101325 Pa.<br />

29

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