Variables:
Fuel % burned upon impact: 30-70%
Fireball temp: 240C(464F) - 1,316C(2,400F)
Peak fireball width: 50m - 184m
Windspeed: 9kt W - 25kt NW
Plume size: 600m - 700m
Elapsed time from crash to photo: 5.3 - 90 sec
Anything I left out?
KT: the "fuel % burned upon impact" is a pure guesstimate (the person who gave you those figures says so). It's probably not a bad guesstimate, but it can't plausibly be used to constrain your modelling. You'd be better to go from 10-99%--at least that way you won't be vulnerable to perfectly reasonable second-guessing on that variable.
The fireball temperature figures are at least based upon some known constants, but were provided to you in both cases by people who didn't know for sure what the effects of super-compression followed by aerosolization of fuel might be on fireball temperature. By all means run whatever "calculations" you want to do based on these figures, but--again--be aware that further research is required before these figures could be in any way declared to be certain limits.
I don't remember where you got the peak fireball width from, or whether the numbers you have there honestly represent anybody's work (why don't you put post numbers in as references for these figures? Given that none of them are your work, that would be honest as well as helpful). Without confirmation from one of the more knowledgeable members of the group, I'm suspicious of those figures.
Windspeed: that range is absurd. We have two different readings: 9 knots is a daily average, correct? 25 knots comes from the black box. I think we can assume that the black box's reading with the plane heading nose down at 580 knots into the ground is suspect. The 9 knots is meaningless for determining wind speed for a given couple of minutes in a whole day. We also know almost nothing about wind direction. The only honest figures you could put in for windspeed AND direction are "unknown." Or, if you prefer "0 to 40kt, direction unknown. You simply don't have the data to support the range you're offering there. (I offer 40 knots, by the way, as an upper limit simply on the basis that wind anywhere in that range would have been likely to draw comment from witnesses).
Plume size: aaaarggh! I tried to explain this to you before. That is the
observed plume size. It is not one of your "constraining variables." The whole point of your stupid pretend "experiment" is to
determine the possible range of plume sizes. Put the observed plume size down in a separate section as "the null hypothesis"--if the outcomes of your calculations from the known variables
rule out the possibility of a plume of that
observed size, then you will have disproved the null hypothesis and you can party. Plus, I'll corner the market in specially reinforced umbrellas to protect people from the flocks of flying pigs that will shortly take to the sky.
Elapsed time: again--that's not a constraining variable in your "experiment." We know nothing whatsoever about the time of the photograph other than Val's "five second" claim. We are all agreed that this claim is of zero informational value. Unless at the end of all this your whole thing will be to rest on that "five seconds" claim as somehow binding, there is no point in putting this value into your "experiment."
So, apart from the fact that every variable you propose is either wrong, irrelevant, or unproven, and that there are dozens of crucially important variables that you are leaving our of your calculation, this looks
great.