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Re: Fwd: Re: [T3] too much mind time
On 13 Aug 2001, at 8:47, Shad Laws wrote:
> > My guess is that the difference is 1/8" or less, which really can't be
> > significant when the tube diameter is ~1".
>
> Only 1/8"? I thought it was more like 1" or so... <shrug> Also, I believe
> that the diameter is closer to 1.25" (I know the OD is slightly over 1.25",
> making silicone 1.25" hose a cheap, easily available, and good replacement
> for the stock boots).
Okay, I thought it might be worth measuring, so I pushed a length
of brazing rod thru each side and measured 15.5" and 15.81". So
the length difference is ~5/16" (8mm). It's still a pretty small
difference. The OD was as you remembered: 1.25".
If we take into account the length of pipe contained in the intake air
distributor and in the head, the total runner length comes out to
~20". For that, we can calculate the resonance: V=freq x
wavelength and the lowest resonant wavelength will be 80" (4 x 20",
as this pipe will be a quarter wave pipe.) V is the speed of sound or
1100 ft/sec = 13,200 in/sec.
So freq = 13,200/80 = 165, but a given pipe gets an intake pulse
every other revolution so the engine rpm that corresponds to this
pulse rate is 330 rpm.
The next harmonic is at 3 times this, when the pipe is a 3/4
wavelength pipe, so 990 engine rpm, and so on for all the odd
multiples of 330 rpm: 330, 990, 1650, 2310, 2970, 3630, 4290....
I guess I'm surprised that it's so low; I don't expect it to have any
real effect since all the resonances are crowded closely together.
One thing I'm not sure of is how the speed of sound changes with
pressure. If the speed increases with a decrease in pressure, then
these resonances would all be shifted up, but I doubt if it would
shift enough to help, and I suspect that it actually shifts the other
way.
-
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Jim Adney, jadney@vwtype3.org
Madison, Wisconsin, USA
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