Real Expert or Just Self Proclaimed

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They drove me away and I'm pretty thick skined.

Hmm, OK......... 'Thick skinned' to me means you can 'hold your own' on AA's HE forum. The old alt.rec.audio crowd was the most abusive I've encountered. They banned me pretty quick for not being a 'yes man' to its high priests of audio. Regardless, I imagine V will fold like a cheap tent once Rtc gets a whiff of him.

GM
 
Scott, I hate you. John, you're a troll.

OK, with that out of the way... set up a tub of water. Get it sloshing back and forth at a resonant frequency. Now, while it's sloshing, stick a wire in it. Does that big ol' wave reflect off the wire?

Another example, near and dear to my heart, is the effect of particles in clear plastics. If they're really nano-scale, they hardly affect the transparency. Make them a couple of microns and the plastic is cloudy-to-opaque. Scattering (which is actually reflection) is strongly dependent on the scale of wavelength to scattering cross-section.

This is actually much easier to describe mathematically, but I suspect you'd rather have a physical picture.
 
Scattering (which is actually reflection)

This is actually much easier to describe mathematically, but I suspect you'd rather have a physical picture.

Easier that what? Its not that easy to do mathemtically, it takes some pretty high level of math.

Scatering is not precisely reflection as diffraction is also an important characteristic. If it were only reflection then there wouldn't be any waves in the shadow zone, but there are. The full mathematical solution caculates both simultaneously.
 
Next I'll be accused of trolling...

To someone new here, it would seem that way, but I'm only too keenly aware of how hard it can be to grasp certain types of abstracts. My Waterloo is higher math. After 50+ yrs of periodically trying I've barely made any headway and I've had some pretty awesome teachers/math geniuses give it their best shot. Fortunately for me though, it hasn't kept me from getting a 'good enough' understanding of the physics of sound propagation that the math describes for those who can 'read' it since I can visualize it in other ways, so if my simplistic explanations seem too rhetorical to accept, just ignore them.

GM
 
This analogy will probably cause more questions and yea buts then anything else I could offer, but it is the best I can come up with to try and describe what happens. Visualize a foamy whipped cream slowly injected at one end of the TL and expanding along a folded path starting at the driver end of the TL and moving towards the open end until it seeps out the open end. As it reaches a bend it will follow the path of least resistance which is to turn and go around the bend. Crashing into the bend and turning around to go back up the TL will not happen, it will progress along the easier path of life.

The bass wavelengths are so long in a TL, 4 times the length of the TL at the first resonance, that reflections are not going to happen. The first standing wave does not know the bend even exists.

Firstly, i respect everything you have done to help quantify TLdesign. I agree with the point. MOST of the energy is deflected around the bend, rather than being Reflected 180 upon itself. easiest route etc etc blah blah. that much is obvious.

one question though. along the line the lowest resonance doesnt notice the bends in a TL...but if a fold is introduced halfway along the length to accomodate the design, then we have 2 pipes of half the length. and the fundamental may see this as a single pipe, but any excitation around the octave higher will see the 2 sectional pipe resonances...SURELY

btw nice applet there Don...looks just like my washing machine and washing up bowl situation i mentioned earlier...its groovy
 
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More accurately: "how does the low frequency sound wave go around an 180* bend if it does not reflect off the sidewalls of the pipe"
How about this?

There's an impulse - the cone moves and pressurizes the air. The opposite of "Nature abhors a vacuum" is she's not too fond of high pressure areas, either, and the dense air pressure wants to come to equilibrium so it expands outward. Not because it has momentum, but because the air molecules in front of it aren't pushing as hard as those behind it. When it reaches the turn, it pushes on the end, pushes on the side, and ends up pushing into the open space where, again, the air isn't pushing back.

A 20hz wave is a lot slower than the speed of sound, and there's no reflection because the whole 1/8th wave pipe back to the speaker is full of higher pressure. For a reflection to occur, the lower pressure of the leading edge of the wave would have to pressurize the denser air behind it which is busy expanding. Caught between the wall of the bend and the higher pressure coming down the pipe, it goes sideways.

Note that when a gas does have momentum, it's called "wind". 😉
 
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one question though. along the line the lowest resonance doesnt notice the bends in a TL...but if a fold is introduced halfway along the length to accomodate the design, then we have 2 pipes of half the length. and the fundamental may see this as a single pipe, but any excitation around the octave higher will see the 2 sectional pipe resonances...SURELY

In short... YES. But does it matter?

A thought experiment for you:
In a simple fold, the area of the line changes as you pass around the bend - it expands, then contracts, then expands again, then finally contracts to the area of the line after the bend. You can measure the effect this fold has on various frequency waves. You'll find, as have many others, that low frequencies - long wavelength relative to the pipe length) pass around the fold with very little loss or reflection. High frequencies - short wavelengths - reflect strongly from the fold.

Now imagine straightening the bend back to a straight line, but keep the area changes - in other words, an expansion-contraction-expansion-contraction of the line. Now measure the effects on the various frequencies again. Surprise, surprise, surprise...

"Aha", you say, "I could add curved "fillets" to my folds to ensure they have a constant area around the bend." Well, yes, you could, if you need your line to function well at higher frequencies. It's just that for most applications of transmission lines and tapped horns etc, efficient transmission of higher frequencies is undesirable. They are to be suppressed, not transmitted.

So getting back to your original point, the resonances of the two pipe sections are (hopefully) above the designed operating range of the system. There is some logic in having more folds in a line rather than fewer, since the resulting higher order resonances are at higher frequencies which (a) will hopefully not be present in the first place due to the speaker crossover, and (b) are more easily damped by lining or stuffing, which becomes more effective as the frequency increases.
 
Easier that what? Its not that easy to do mathemtically, it takes some pretty high level of math.

Easier than describing a spiral staircase without using your hands. 😀 Like you and jlsem, I find it easier to deal with the math- it's really not that high a level, just basic differential equations- than to try to do it through physical analogy. My favorite treatment was French's "Vibration and Waves," from the excellent MIT introductory physics series which I used as a freshman, but there's plenty of others.
 
Sorry, you lost me there. Could you perhaps clarify it for me?
Sound travels at the speed of sound. That's why it's called that.

I was trying to express the idea that the wave is going around the corner in slow motion, so to speak. On reflection, (pardon the pun) I suppose it has more to do with the size of the pipe than the speed of sound, but the important concept is that the front edge of the wave is reaching the corner while the speaker is still compressing the air.

When someone has trouble visualizing a wave turning a corner in a pipe, it occurs to me they may have two difficulties. They may be thinking that all the air in the pipe is of equal pressure, and they may be thinking that the wavefront has momentum that needs to be accounted for. (the wave may, indeed, have some momentum, but I suspect that it's negligible) My explanation isn't meant to be rigorous, merely easier to grasp than Martin's whipped cream.
 
Seriously, MJL?
Would you say that you were hearing a lot of rhetoric if, when asked to explain gravity,

There still isn't a clear understanding of gravity - seriously, so calling it "complicated" is an understatement. I'm sure that when it is finally fully understood it can be explain concisely, without unnecessary rhetoric.

OK, with that out of the way... set up a tub of water. Get it sloshing back and forth at a resonant frequency. Now, while it's sloshing, stick a wire in it. Does that big ol' wave reflect off the wire?

The portion of the wave that contacts the wire you mean? I know that big ol' wave is reflecting off the side of the tub...that being my point in all of this. You gentlemen would deny that aspect of the scenario.

I was going to refer to that myself. Nothing like seeing the situation.

I'm big on visualization and adding a border to that java applet shows the reflection I'm talking about.

Thats easy enough
It follows the path exactly because it doesn't reflect
Pure logic 😀

More from the peanut gallery? 🙂

To someone new here, it would seem that way, but I'm only too keenly aware of how hard it can be to grasp certain types of abstracts.

I'm actually doing just fine grasping the concepts - I've posed some fairly interesting questions and still those of you who (supposedly) have a better understanding and grasp on the "abstracts" have failed to provide a logical answer.
 
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I'm not a gifted math guy at all, but maybe the whip cream analogy is hard to visualize because it has lots of mass? Thick, creamy ,sticky mass..

How about you force thick smoke down a straight line, like say in a unfolded BIB, it should just pass through like in a chimney.. Now fold that exact same cab in half keeping all else equal as is done in most BIB's.. Force the thick smoke down the line and measure what happens.. I would think at least with smoke, that there would be some turbulence and back eddy's or pressure at or somewhere near the fold or bend etc?

🙂
 
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