Propagation vs. Pressrue (nearing a vacuum)
Hmmmm, this seems to have turned into pretty much a monolog. I guess I can assume that either this community has gotten bored with this topic or has gotten fed up with my ramblings or (most likely), my logic and reasoning are so complete, impeccably perfect and fastideously accurate that no comment or challenge is needed or warranted.
So, anyway...
I had started another, related thread awhile back that eventually got folded into this one. The question asked was how sound propagation dies off as air pressure is reduced (and, indeed there is no sound propagation at all in a vacuum).
I think the molecular displacement view of sound propagation gives a pretty good shot at advancing at least a fairly defensible explanation of what may happen.
If we start with the notion that not all the molecules in a medium are necessarily involved in the propagation of sound and simply extend that thinking, I believe that the mechanism for the way sound falls off with reduced pressure can be presented.
Under "normal" (nominal) conditions, there are enough molecules and they are dense enough that a lot of them are involved. I was hoping to get at least one taker to do the statistics on this and create a graph or chart or perhaps a Java or Javascript routine to show some real values...but, alas (so far anyway)...nada. Anyway, even in the absence of hard data, it's pretty easy to visualize that not all the molecules are going to be affected by the disturber directly or by interactions with molecules that have been influenced by it.
As the pressure is reduced, the molecules get further and further apart. The speed which sound propagates is not affected because the molecules are still traveling at the same speed for the same temperature. But, the likelihood of them colliding becomes less and less. Therefore the power, as integrated over time, becomes less and less.
Since the power in sound propagation is contained in the thermal energy of the molecules and their collisions, when there are very few molecules involved, there is very little power being propagated.
The power may fall off in a linear manner as the pressure is reduced. But, statistics can be funny things so it wouldn't surprise me if it's defined by some other slope or curve. Yes, that is a broad hint to some math genius.
Hmmmm, this seems to have turned into pretty much a monolog. I guess I can assume that either this community has gotten bored with this topic or has gotten fed up with my ramblings or (most likely), my logic and reasoning are so complete, impeccably perfect and fastideously accurate that no comment or challenge is needed or warranted.
So, anyway...
I had started another, related thread awhile back that eventually got folded into this one. The question asked was how sound propagation dies off as air pressure is reduced (and, indeed there is no sound propagation at all in a vacuum).
I think the molecular displacement view of sound propagation gives a pretty good shot at advancing at least a fairly defensible explanation of what may happen.
If we start with the notion that not all the molecules in a medium are necessarily involved in the propagation of sound and simply extend that thinking, I believe that the mechanism for the way sound falls off with reduced pressure can be presented.
Under "normal" (nominal) conditions, there are enough molecules and they are dense enough that a lot of them are involved. I was hoping to get at least one taker to do the statistics on this and create a graph or chart or perhaps a Java or Javascript routine to show some real values...but, alas (so far anyway)...nada. Anyway, even in the absence of hard data, it's pretty easy to visualize that not all the molecules are going to be affected by the disturber directly or by interactions with molecules that have been influenced by it.
As the pressure is reduced, the molecules get further and further apart. The speed which sound propagates is not affected because the molecules are still traveling at the same speed for the same temperature. But, the likelihood of them colliding becomes less and less. Therefore the power, as integrated over time, becomes less and less.
Since the power in sound propagation is contained in the thermal energy of the molecules and their collisions, when there are very few molecules involved, there is very little power being propagated.
The power may fall off in a linear manner as the pressure is reduced. But, statistics can be funny things so it wouldn't surprise me if it's defined by some other slope or curve. Yes, that is a broad hint to some math genius.
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