PPRuNe Forums - View Single Post - AF 447 Search to resume
View Single Post
Old 11th Mar 2010, 23:50
  #468 (permalink)  
mm43
 
Join Date: Jun 2009
Location: NNW of Antipodes
Age: 81
Posts: 1,330
Received 0 Likes on 0 Posts
AF447 - The Numbers

Let's put some numbers on it.

9120 ft/min = 152 ft/sec, and 50KTS = 84.44 ft/sec, resulting 173.88 ft/sec or 53 meters/sec.

The mechanics of determining the time over which the acceleration was reduced to zero is not easily calculated due to the cylindrical shape of the fuselage, plus the area of the main wings and elevators come into play. On top of this, the aircraft is initially buoyant, and the forces cancelled out will reciprocate as buoyancy moments. If the aircraft impacted terra firma, the time taken to dissipate the impact moments would be about 100 milliseconds and the structural damage would be extreme. In the case we are dealing with, the shape and area of the fuselage combined with the large area of the wing will provide a dampening effect and probably the time to accelerate to zero is around 250 milliseconds, with half the remaining velocity being absorbed each 50 milliseconds.

Density of air at sea level and 25°C is around 1.185 kg/m3, whereas sea water is 1,025 kg/m3 or 865 times denser than air. Not quite solid, but at the velocities we are talking about, its close to it. On top of that we have an aircraft weighing in at about 210 tonnes, but the total volumetric area is about 1260m3, and that is potentially the water that could be displaced during impact. The force at impact will be around 210,000kg x 53m/sec = 11,130,000 m kg/s, and that energy either has to be dissipated by the aircraft or transmitted into the water. Water does not compress, therefore the energy gets turned into a wave with amplitude and length, e.g. the stone in the pond principle.



Looking at the force vectors drawn through the V/S, it can been seen that there would definitely be compression on the forward end of the V/S, and a combination of compression on the aft end caused by the THS forcing framing upwards, later reverting to tension at the aft clevis as the cancelling of the forward moment caused the V/S to rotate off in that direction and to port. All these forces will have created their own local tsunami and the effects of that will most likely take a minute to oscillate down to the background sea and swell conditions.



Likely points of fracture through the fuselage have been marked, and discussion around the items recovered may help determine if there was another fracture near the aft pressure bulkhead.

However, the initial parting of the waves will result in a violent return of the water, and the wing spar section will pop to the surface, and fractures already formed at its fore and aft ends will be flexed in the opposite direction, causing complete separation of the fuselage ends. Water will invade those ruptured spaces, eventually permeating through linings etc.. and buoyancy will be lost.

What bothers me in the above example, is that if the actual time taken to arrest the impact moments was say 1 sec, then the impact could have been survivable. The potentially large volumetric area of the aircraft is the reason I believe that the time to arrest the impact forces was nearer 250 milliseconds. What little we know of the pathology reports tends to describe spinal and pelvic injuries that point to terminal velocities greater than represented above. So the aim of this exercise is to come up with some velocities that truly represent the damage represented. My feeling is that the terminal vertical velocity was about 30 percent greater than shown. Deformation of the galley sides, toilet doors etc.. was on the narrow sides from bottom to top. In fact the deformation was mostly near the bottom and relatively small in length, which could imply that the "g" forces were high and of a very short duration.

Last edited by mm43; 12th Mar 2010 at 22:16. Reason: spelling!
mm43 is offline