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Show Measurement and Interpretation - U - of Flames IsswuI from a Generic Multi-Fuel Bumet' 03) ~ 025 W > 0.20 W U. o 0:5 Z o § 0 .1) ~ U. 0.D6 HFO. HA. Area Wetg1l8d FILE-HHFERGF (Frac:liondEv .. Aateatx.l00mm) Gaussian Fit 5 1) 20 25 30 Fig. 3.3. Gaussian Fit to Event Rates. IFRF-~ 40 In utilizing the Gaussian distribution, first the cumulative distribution function, F(x), was set equal to a random number generated between <lmin=0 and Clm.ax=40. The definition of the cumulative function is as follows 1 1 x F(x)=2+Z·erj(J2) a-a wherex=-( j Using the following approximation to the erf(x) [3] 16r 2 erf (x) == 1-e-2j -J";, x ~ 0.009 16 2 2 == - 23 x - .fir' 0::; x < 0.009 The value of x was determined as X=- ~ .g:(l-k~46-32.ln(2-2.F(X»)' x;::O.OO9 X==- 23. ~(1- J2 123 - 16 '1Z'.(2.F(X)-1)] O<x<O 009 16 V~· J23"V ' - . It is also clear that f(x)· J2 '1Z' == 1. This property is then used to proportion the mass distribution over the spray radius. For each injection of mj , a pair of particles are then determined with the mass flux, mi,1 of the first particle as such that |