Mailing List flyrotary@lancaironline.net Message #13348
From: Ed Anderson <eanderson@carolina.rr.com>
Subject: Re: [FlyRotary] Re: New Muffler Design
Date: Tue, 30 Nov 2004 21:19:32 -0500
To: Rotary motors in aircraft <flyrotary@lancaironline.net>
 
----- Original Message -----
From: Bill Dube
Sent: Tuesday, November 30, 2004 7:03 PM
Subject: [FlyRotary] Re: New Muffler Design

At 04:02 PM 11/30/2004 -0500, you wrote:
Well, folks, got the new muffler design installed today - and initially results are encouraging.  I designed the muffler based on what I believe I have learned concerning Finite Amplitude Wave theory and applied it to this muffler design. 

        Tell us more about Finite Amplitude Wave theory.
Bill, I would rather not reveal just how little I understand about the theory - except to say that it is a disturbance in the air (generally not caused by a vibrating medium) that exceeds the strength of a 125 dB sound wave by 1000 of times.  They are formed in both the intake and exhaust systems of internal combustion engines (as well as a number of other environments).  They can be used to enhance both intake and exhaust performance (If used properly) - when they terminate they can produce localized pressures of over 15 psi (short duration).  The FAW can either support macro airflow in the direction you want or adversely affect it  depending on many variables.
The bottom line is these waves interact in a different manner with their environment that what we normally think of as sound waves.  You can find a bunch on the internet by searching for "Finite Amplitude Waves" - some so mathematically esoteric that I certainly can't follow it - but other explanations are more understandable.  Try a search
 
Here is a starter
 
look down about half way down the page for a layman's description of some of their attributes.
 
Here is another one - a bit too much math for me  http://www.ae.gatech.edu/~comblab5/Publications/RobEJASAApril2003.pdf

The mufflers consider of two 2" dia tubes 4' long with sound attenuating discs inserted.  Each muffler hangs off of my two header pipes and extend back under the fuselage with the exhaust exit dumping behind the cockpit area.

        Pictures? Drawings? How many disks? What spacing?
         Sorry, I normally take photos of my projects, but the digital camera's battery failed.  I will come up with some drawings shortly - but, want to fly with it first before doing so.  The space between discs is variable in order to make "traps" for different frequencies but is basically harmonics of the basic rpm (so you have to sort of decide what rpm you want the effect to be most dominate - but at least in my case it seems to be pretty effective across the spectrum).  I presume that is because the difference spacing is doing a fair job of attenuating several different frequencies.
 
For instance, if you combine your two exhaust into one muffler you are dealing with 200Hz at 6000 rpm but if you use two separate tubes (like I do)  then with each exhaust port feeding a separate tube the primary frequency (in each tube) is 1/2 200Hz or 100Hz.  That calls for a different spacing of the discs. 
I use two types of discs, one is nothing more than a 2" dia washer with a 1" dia hole in the center.  The other type  disk is  a 2" washer with a 1/2" hole in the center.  This one is modified to (hopefully) present a solid disk to the FAW causing it to bounce back and destructively interact with the next FAW wave - but still permitting air molecules to pass with minimum restriction.    I use 3 of the 2/1 washers and 4 of the 2/1/2 washers in each tube with the spacing between discs starting off small (to attenuate the higher frequencies) and incrementally increasing to a larger distance between discs to attenuate the lower frequencies. I also place a 2" dia SS wire mesh disc before each of the three 2/1 washers that has an weave open area of 40%.
 
I really want to fly with this set up to see if it survives.  I discovered a couple of years ago that the intensity of the rotary turbo housing exhaust could actually pulverize SS tubing in a matter of a few minutes of flight. These were "Fishtails" or squished down tubing ends.  I came back from one flight with the ends of the tubes looking like something had bitten big chunks out of them.  This due to the fatiguing of the metal by the powerful pulse (not the heat) in a matter of minutes.
 
Besides, while  there appeared to be no adverse affect on my power at my static of 5600 rpm that may not necessarily be true when I get airborne and attempt to reach 6400 rpm.

Subjectively, two hanger bums standing by the wing tips told me that the exhaust was no louder at WOT than at idle and that the sound of the prop drowned out the exhaust at WOT.    I also noticed  that while sitting in the cockpit with the radio on I heard ignition static  over the radio receiver for the first time!

        Did you do the test in the open or in the hangar?

The aircraft was in the hangar, but the hangar has no door and the tail was pointed back outside the hangar.  There little doubt that I was getting some sound reflection from the back and sides of my qonset hut type hanger - but I do not do run ups on our exterior hard surface pad/runway due to its poor condition and the fact that my last prop picked up two nasty nicks due to debrie lifted by the prop during run ups.

For you sound experts, I presume if a 3DB increase represents a perceived doubling of loudness does that mean a 10 DB decrease represents an approx 3 fold decrease in perceived loudness??

        It is a log scale. 3 dB is indeed 1/2 the sound intensity. The 9 dB is not 3 x 0.5 it is 0.5 x 0.5 x 0.5 Thus it is 1/8th the sound intensity.
 
Thanks, Bill.   Well, I guess that may well be why the individuals reported they could not hear the exhaust over the prop noise.  It also may mean I can eliminate some of the discs and still have good sound supression if I do run into adverse effects on power production at high rpms.
        
        I'm surprised you haven't connected the two pipes after they leave the engine. In cars with dual exhaust, they put a cross-over pipe just after the header (or manifold). The cross-over pipe is typically smaller than the main pipes. The cross-over effectively doubles the frequency and halves the amplitude of the sound pulses in each side. The higher frequency is more strongly attenuated by the low-pass filters (mufflers). The effect of adding a cross-over pipe is dramatic. The exhaust note goes from painful to pleasant.
Sounds like reason for another muffler design {:>).  I am aware of the reported benefits of a cross over tube - but attempting to keep the underside of the aircraft from looking too cluttered I have not attempted it.  Right now all I have are two 2 1/8" tubes running straight back from the bottom of the cowl separated by approx 12".  It does sound like it would be benefical to design one with such a cross-over pipe.  By doubling the frequency and halving the amplitude that would appear to indicate the mufflers could be perhaps closer to 24" rather than my 48". 
 

        If the cross-over pipe placed properly, there is no loss of power. (Sometimes you get a small increase.) You want the header to scavenge the combustion chamber properly, so you have to leave enough header to do this.  On a V-8 trying to make good low-end torque, this is about 18" or so. I have no clue what header a rotary would like to make max HP at high RPM.
 
Thanks for the questions and suggestions, Bill
Ed
 
Ed Anderson
RV-6A N494BW Rotary Powered
Matthews, NC

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