Willard: I think you have been mislead by a couple of things.
The Gexcon handbook is describing combustion in an
open chamber. A spud gun is not an open chamber. Granted it isn't exactly a closed chamber either but it is clearly not the same as an open chamber.
"Also, combustion cannons are not considered closed chambers. The chamber is open, it just has the opening "blocked" by a very low-friction projectile."
The spud is not a "very low friction projectile". Indeed, I believe it is fairly well established that combustion guns perform better with
more friction. A double beveled spud cutter gives a tighter fitting spud, more friction and higher muzzle velocities. A single beveled cutter, with the bevel on the outside of the barrel, gives lower friction and lower muzzle velocities. Higher static friction makes the gun perform with some of the characteristics of a burst disk.
Otherwise, combustions would be failing/exploding far more often. If we used closed chambers, this website would be about bomb making, not creating produce accelerators."
This is not true. The peak adiabatic pressure from propane + air is just ~120 PSIG. Nothing is truly adiabatic, so a real world closed chamber won't even reach 120 PSIG. That is well within the pressure limit of pressure rated Sch40 PVC pipe. In addition, the whole point of a
burst disk gun is to get the working pressure up near the theoretical pressure. Burst disk guns are not "bombs", even if a burst disk is used that ruptures at ~120 PSIG. Even with a closed chamber, 120 PSIG is not enough pressure to cause pressure rated pipe to fail.
Combustion in an open pipe is a very poor model of what happens in a combustion gun. For a gun to work effectively (or at least as effectively as a combustion spud gun can operate) the pressure in the chamber
must rise. In an open pipe, there is very little pressure rise during the combustion process and the gases can move at high velocities because there is nothing to prevent them from doing so. In a spud gun the gases are not free to move at high velocities. The flame still propagates even though the gases are moving only a small amount.
Looking at the Gexcon data for the 1m diameter open pipe, they get flame speeds approaching 250 m/s (after burning along a pipe 40m long). I would suspect that the gas velocity is similar to the flame front velocity in their system.
In a typical combustion spud gun you are unlikely to get air velocities of 250 m/s (820 fps) since the spud would have to be moving that fast.
It is easy enough to estimate the velocity of the gases in a spud gun. When the spud exits the barrel the small volume of gases immediately behind the spud is moving at the speed of the spud. If the spud is moving at 500 fps then so are the gases immediately behind it. However, the gases in other places in the chamber are moving slower. The small volume of gas at the breech is not moving at all. A slug of gas located near the center of the chamber is only moving at about 1/4 the velocity of the spud. (There is a factor of ~2 for being halfway from the spud to the breech and another factor of ~2 for the chamber having roughly twice the cross sectional area as the barrel.)
If the spud exits at 500 fps then during the time it was actually moving through the barrel is was moving slower. On a time basis, the spud spends much more time moving slowly then it does moving fast. Hence, for most of the time the gases in the gun are also moving slowly.
"If this were true, we wouldn't be using chamber fans."
The chamber fan can not get the gases in the chamber moving in an organized fashion prior to ignition. It is a closed chamber with a large length to width ratio. A fan creates turbulence but does not actually get the gases moving in any particular direction. Even if the fan could get the gases moving in an organized fashion the momentum towards the front of the gun is balanced by an exactly identical amount of momentum that is going towards the back of the gun. It must be, otherwise turning the fan on would make the gun move. So, a fan
can not get the gases going in a particular direction prior to ignition. The fan does get the gases moving in a chaotic fashion and that may be all that is required to get the flame front to transition from a laminar front to a turbulent front. It doesn't take much movement of the gases in the chamber prior to ignition for that movement to affect the laminar to turbulent flame front transition. (Indeed, in laboratories that study these types of things, they frequently let the chamber sit for several minutes after turning off the fan to allow the movement of the gases to stop. If they don't do that, then the laminar to turbulent transition will happen even though the fan is not actively running when the mixture is ignited.)
Also, The movement of the flame front is directly related to the pressure in the chamber, as the pressure increases, the flame front accelerates - this is a way how DDT occurs. Just read the explanation given in the website boilingleadbath provided and that I quoted.
Actually, it is the
speed of the flame front that is directly related to
temperature and pressure in the chamber. Rising temperature increases the flame front speed (roughly as the square of the absolute temperature). Rising pressure actually decelerates the flame speed by a small amount. To get to DDT, the pressure wave must approach the speed of sound
and the temperature in the unburned gases must approach the autoignition temperature. Those new DDT papers are very interesting but nobody has ever detected DDT in a propane+air combustion spud gun.
I've been thinking about how a combustion gun works for a long time. The physics are not simple. Here are some links to post I did to the SpudTech forums on the modeling of combustion guns;
Intro: Towards a mathematical model of combustion spud guns
http://www.spudfiles.com/spudtech_archi ... hp?t=15477
Part I: Towards a model of combustion spud gun
http://www.spudfiles.com/spudtech_archi ... hp?t=15478
Part II: Combustion / Compressed Air gun performance disconnect
http://www.spudfiles.com/spudtech_archi ... hp?t=15498
Part 3: How efficient can a combustion gun be?
http://www.spudfiles.com/spudtech_archi ... hp?t=15526
Part 4: Modeling closed combustion chamber
http://www.spudfiles.com/spudtech_archi ... hp?t=15557
Part V: Adiabatic Gun Model
http://www.spudfiles.com/spudtech_archi ... hp?t=15614