OK!
http://www.physicsforums.com/showthread.php?t=594484This cat tried to design his own exhaust for a 153cc 7200RPM single cylinder bike.
He references this formula for the length of the primary pipe:
LengthOfPipe = (129540 x E.T) / (R.P.M. x 6)
Where ET is exhaust valve timing BBDC and RPM is peak RPM-500.
I have no idea what constant that 129540 number represents.
ET is exhaust timing before BDC plus 180* to come back around the guiii-tar.
64* referenced in the first post plus 180* brings us to 224 which matches Lancer's exhaust valve duration spec.
As for peak RPM I've read a couple posts that say the bike peaks at 5400 but once a few upgrades have been equipped people say they have no problems at 6500.
For my calculations I used 6500 RPM, minus 500, bringing that value to 6000.
I got 877mm/34" as the length of the primary pipe. Note that this includes the length of the exhaust runner.
Quote:Divide "L" by 10 to bring it to cms. Call this "L2".
Take the cylinder capacity in ccs and double it.
Divide by "L2" as previously calculated.
Divide by 3.4
Find the square root
Multiply by two and add 0.3
Multiply by 10 to bring it back to mms.
Add displacement of 652cc to that guys formula to solve for diameter and I get 44mm/1.76".
Now here are the problems I have with this:
This formula is to solve for a free flowing exhaust. This doesn't factor in restrictions like the filter, intake, head design, runners, etc.
He does mention this is for a free flowing exhaust. Meant to be a straight, unwaivering pipe. He states that bends reduce flow 10-15%. I believe that bends restrict flow but I find 10-15% hard to believe. I know that in my experience with racing that a 90 degree bend roughly equates to an 8% loss in horsepower.
His formula states that's for the OD of the pipe. As we're concerned with volume and flow I think he meant to say ID.
I could have 1.75" OD pipe that comes in .050, .080, .120 wall thickness. For instance, you could have a 2" OD pipe with a 1.187"ID (stock exhaust).
All that said and done I'll be using 1.625 OD .080 wall stainless tubing which should be ~1.485 ID.
I have 1.625 OD .050 wall which should be ~1.525 ID but I want the extra wall there because that's my style. Ladies don't mind a little extra thickness.
I think I'm going to end up in the 34-39" length area.
--Steve