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Technical documentation and software quality assurance for project ...

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€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

€<br />

From Cook et al (1990), the emissive power of the flame, E, is calculated<br />

E = FQΔHc ⋅10−3<br />

A<br />

with<br />

kg<br />

Q = mass discharge (<br />

s<br />

€<br />

)<br />

J<br />

ΔHc = heat of combustion (<br />

kg )<br />

A = surface area of the flame ( m 2 )<br />

From Chamberlain, the fraction of heat radiated from the flame surface, F, is<br />

€<br />

F = 0.21exp(−0.00323u<br />

€<br />

j) + 0.11<br />

The atmospheric attenuation coefficient, τ , described earlier is used <strong>for</strong> jets <strong>and</strong> flares.<br />

MODEL OUTPUT<br />

€<br />

The model returns the ground level distance <strong>for</strong> each of the Levels of Concern (LOC).<br />

The flame centroid is the center of the footprint.<br />

NOMENCLATURE<br />

do hole or throat diameter, m<br />

F fraction of heat radiated from surface of flame<br />

LB length of flame measured from tip of flame to center of plane, m<br />

LBo M j<br />

LB in still air, € m<br />

mach number of exp<strong>and</strong>ed jet<br />

m ˙<br />

€<br />

R<br />

kg<br />

mass flow rate,<br />

€ s<br />

velocity ratio, dimensionless<br />

€<br />

Pc N<br />

static pressure at the hole exit plane,<br />

m<br />

€<br />

€<br />

2<br />

Po atmospheric pressure, 1.013⋅10<br />

€<br />

5 N<br />

m 2<br />

⎛<br />

⎞<br />

⎜<br />

⎟<br />

⎝<br />

⎠<br />

Ts u j<br />

V<br />

stagnation temperature, gas temperature inside the container, K<br />

m<br />

velocity of the gas in the exp<strong>and</strong>ed jet,<br />

s<br />

m<br />

wind velocity,<br />

€<br />

s<br />

Wgk kg<br />

kilogram molecular weight of € gas,<br />

mol<br />

€<br />

€<br />

29

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