femr2 wrote:Trippy wrote:Consider the point that an over-pressure isn't actually required to generate these dust jets
My point is to highlight to OWE and DBB that if the linear ejecta detailed was simply air being expelled, then having a focussed jet and the south side ejecta at the same time would be reasonably described as mutually exclusive. Data and opinion on the dust jets themselves is probably best held within a specific thread.
I'm not so sure of this, but you'll have to elaborate on your reasoning here.
femr2 wrote:As you've gone to some effort, I'll respond likewise, but again suggest as much specicivity in threads. (Especially ones I start)
Thanks, I appreciate it.
femr2 wrote:WTC 1&2 were 63.4m on each side
63.0936m external. Less internally (using window insets).
I'm generally quite time poor, so sometimes I have to make do, and this was one of those occasions, thankyou for your correction, and the additional information.
Just FYI:
208'*12"*2.54/100 = 63.3984m = 63.4m (3sf)
femr2 wrote:, and the floors are 3.66m apart (both figures rounded to 3sf)
3.6576m for standard floor, though of course 0.1016m of concrete slab must be subtracted outside the core (for standard floors), and 0.1270m within the core, also taking into account that the external floor region and core region did not descend together as a single piston.
As I stated, both figures were rounded to 3sf 3.6576=3.66 when rounded to 3 significant figures.
As far as the piston thing goes, I know, hence the effort I went to to try and emphasize this as a source of error.
femr2 wrote:(Thinking of piston... http://www.youtube.com/watch?v=acTcwA_YHuA ...motion detection by subtraction.)
Dam, I was working on something very similar to this, I was also using XOR as well as subtraction.
femr2 wrote:this gives us a total volume of air between the floors of 63.4*63.4*3.66 m^3 or 14,700 m^3 (again, rounded to 3sf).
Rather less, but...
Not as much as you might think - technically I should be using a weighted average based on the percentage of floor occupied, but I lack the time to calculate that just now, however, using a simple average for floor thickness (I considered subtracting the floor thickness, but lacked the time to try and track down the information, never came back to it), and your corrected figures still gives us a shade of 14,000 m^3
femr2 wrote:The first thing to realize is that this volume includes the space occupied by the core columns, which introduces an error in the form of a volume of air that will be included in the calculations, but can not be expelled by the collapse.
Second thing to realise is that the volume taken up by ALL of the other SDL, CDL and LL masses must also be accounted for, as do all air flow restrictions imposed by structure, partitioning, ...
I considered that as well, which would be one o fthe reasons that I went to the pains that I did to try and emphasize that this is only an approximation, although arguable my initial rounding implicitly allocates nearly 12m^3 to this (which is probably inadequite, however) and the figure of 14,000 m^3 (also rounded to 3sf) allocates about 20m^3 to this.
femr2 wrote:Now, if we assume we are dealing with the first collapsing floor, and, for the sake of simplicity, assume that it falls as one intact piece onto the floor below it
An over simplification in terms of the subsequent justification IMO., then we can calulate (using s=(gt^2)/2 that it takes 864ms (3sf) for an object to free fall 3.66m, this tells us that we have 864ms for all 14,700 m^3 of air to be expelled from between the floors.
That would assume zero air-resistance, and also other resisting factors, further distorting the calculation, and assuming free-fall...hm.
If you have a better figure to use, and a reason why it should be used...
And no, IMO using 0.7g is not neccessarily a more accurate value (I considered that as well).
femr2 wrote:Calculating a flow rate is simple, it's simple the volume moved/time taken, so in this case 14,700/0.864 which is 17,000 m^3/s (3sf).
Now, when we're dealing with a pipe, the flow velocity of the material in the pipe is equal to the flow rate/cross sectional area of the pipe. In the case of WTC 1&2 the pipe isn't a pipe per se, however there are a number of apetures that the air can move through, represented by the voids in the core
There are some core corridors which may have played a part, but that is why I suggest a separate thread, as detailing each jet individually is important to understanding their nature.
Agreed, corridors might have served to focus the flor through a few of the windows, which would increase the flow velocity, by reducing the cross sectional area under consideration - thus this simplifying assumption serves to reduce the flow velocity, and provides balance to the previous assumptions that i've made which might serve to increase the flow velocity.
femr2 wrote:, and the windows.
Ah. For your purposes, the windows cannot be treated as an aperture really, as the focus must be produced elsewhere IMO (core corridors for example).
Focus is a seperate issue, and not something that I was generally considering (as I thought was clear when I stated the initial considerations - see above for further information).
{snip}
femr2 wrote:But yes, what i'm suggesting is that dust jet ejections like that don't neccessarily require an over pressure to occur.
Being more specific, the dust jet being highlighted (for the purpose highlighted) occurs at the same level as the linear ejecta. Other dust jets occur in front of the linear ejecta. That makes no sense at all. All behaviours must be explainable. The linear ejecta represents the very lowest *crush front* and shows firstly that internal destruction was asymmetrical and did not result from complete storey collapses, but instead the south side descent was in advance of the north. Such behaviours mess with the simplifications significantly.
To me it fails to make sense only if you're assuming that the external collapse is happening in the same place as the internal collapse (i've never been a huge fan of the solid block model) or, to put it another way, it potentially makes sense if you stop assuming that the internal collapse and the visible collapse initiated at the same time.
(if that makes sense).
