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Heat release rate required for a fl ashover to occur<br />
Data has been correlated from over 100 experimental fi res for varying room<br />
sizes. 21 These experiments have formed the basis for equation 18 below. This<br />
equation can be used to determine the amount of fuel burnt up when the fi re<br />
progresses to fl ashover. The heat release rate required for a fl ashover to occur<br />
can be described using the following formula:<br />
Q fo = 610(h kA TA W√H) 0.5<br />
where Q fo – heat release rate required to trigger a fl ashover (kW)<br />
h k – heat transfer coeffi cient (kW/m 2 K), which specifi es the amount of<br />
heat absorbed by the enclosure surfaces<br />
A T – internal enclosure area in room (m 2 )<br />
A W – ventilation opening’s area (m 2 )<br />
H – ventilation opening’s height (m)<br />
Equation 18 has been produced for a normal-size room. But it has also proved<br />
to be valid for signifi cantly larger rooms. Many different types of fuel have been<br />
tested, including wood, plastic and various gases. Both windows and doors have<br />
been used as openings. The material which the walls and ceiling are made of<br />
have had a wide variety of properties.<br />
However, this equation does have certain limitations. It only applies to fuelcontrolled<br />
fi res and when the source of the fi re is not located close to any wall.<br />
If it was located close to a wall the coeffi cients in the equation would be different.<br />
The equation applies to temperatures between around 20 and 700 °C 7 .<br />
There is a sample calculation on page 181, which shows the scope of application<br />
for this equation. The equation is often used for scoping purposes.<br />
The fully developed fi re is ventilation controlled, which means that equation<br />
18 cannot be applied at this stage. When the fi re is ventilation controlled the<br />
heat release rate, in particular, is limited in the room by the amount of air<br />
fl owing in through the opening. This amount is calculated using equation 19.<br />
When a fl ashover has defi nitely taken place we can use equation 19 to estimate<br />
the actual heat release rate.<br />
In actual fact, all the air which fl ows into the room is not used for combustion.<br />
Consequently, the amount of energy released is not as much as equation<br />
19 gives, but the approximation must be regarded as being adequate for our<br />
purpose.<br />
m a = 0.5 A w √H<br />
Equation 18<br />
Equation 19<br />
where m a (kg/s) is the mass fl ow of the incoming air, A w (m 2 ) is the opening’s<br />
area and H (m) is the opening’s height. (cont. on next page P)