Exhaust Tuning Theory and System Design
We've all heard the magazines talk about 'back pressure' (and most of what they say is
utter cac) so how
do we ensure we have a good, efficient, exhaust system (bearing in mind that 'back pressure,
any back pressure, is a bad thing)?
Well, some history:
Back in WW2 the RAF Spitfires ran, what were essentially, open headers (they called them 'ejector stacks'). After the Battle of Britain, when they were looking to use Night-fighters, in order to cut down the exhaust glare, they ran aircraft with extended exhausts and found that engine power was increased.
Nothing then really happened until the late 50's / early 60's when the Japanese started producing 2-stroke M/C engines. - These
rely upon exhaust efficiency to work.
Shortly after this people like Colin Chapman and the men at Coventry Climax started producing the 'bunch of bananas' exhausts.
So what was / is going on?
Aside from restrictions in the Silencer (which
cause back pressure! and which we don't want in an efficient system!), the lengths of the Primaries / Secondaries / Collector affect the 'pulse tuning' of any exhaust.
Consider a church organ - different pipe lengths and bores make different notes. The sound you hear is due to the resonance or 'standing wave' that is set up as the air passes through the pipe. This standing wave has both a negative pressure component and a positive pressure component, the wavelength being directly related to the sound you hear because wavelength is directly proportional to the inverse of the frequency.
Now it's the same with an exhaust since it is effectively a pipe flowing gasses. Firstly we want the gas pressure in the exhaust to be lower than that at the cylinder head to assist scavenging through gas inertia. Secondly we don't want the exhaust gas of one cylinder to pressurise another cylinder.
Here comes the interesting bit. By altering the length and bore of the primaries and secondaries we can ensure that the negative pressure component of each exhaust pulse reaches the cylinder head when the exhaust valve is open, thereby further assisting cylinder scavenging. This will depend upon engine rpm and the valve opening time, ie exhaust valve duration. So, for example, on a 4-cylinder engine, we can use the negative pressure pulse from no 1 cylinder to assist the exhaust scavenging of no 4 cylinder.
What we are doing is pairing cylinders that are
180 degrees apart. This is why the stock GT6 manifold is so useless, and, more importantly, why the so called ToiletTune (Terrytune) manifold (sold by Moss) is an
absolute waste of money (since it links 1,2,3 cylinders together, and 4, 5 and 6 cylinders).
Where it gets
really 'trick' is if we use a wide valve overlap, ie both exhaust and inlet valves are open at the same time (hence they 'overlap'), we can use (in the example above) the negative pulse from no 1 cylinder not only to assist the scavenging of no 4 cylinder, but, because of the negative pressure and the fact that no 4 cylinder's exhaust and inlet valves are
both open, this negative pulse will actually assist in sucking the new inlet charge into the cylinder. Hence gains in power and torque.
The downside is that this will only work perfectly at a given rpm. If you tune for max power you will inevitably reduce the torque lower down and 'close up' the engine's 'power band'. This is why race engines idle badly with associated popping and farting and lumpy idle rpm.
Similarly engines with a wide torque spread produce less peak bhp.
As with everything there is a series of compromises being made.
Exhaust tuning theory is actually fairly simple; it�s all about getting the negative (and, hence, scavenging) pressure pulse to arrive at the exhaust valve as it is opening. To do this we have to set the pipe lengths and diameters correctly.
The formula for Primary pipe length is:
P = [(850 x ED) / RPM] - 3
Where:
RPM is the engine speed to which the exhaust is being tuned.
ED = 180� plus the number of degrees the exhaust valve opens before BDC.
P = Primary pipe length (on a 4-1 manifold), or Primary pipe length plus Secondary pipe length (on a 4-2-1 manifold), in inches.
Generally road engines will require the manifold to be tuned to the max torque rpm whereas race engines will be tuned to work either at max bhp rpm or a speed midway between the max bhp rpm and max torque rpm.
4 -1 manifolds restrict the power band, whereas 4-2-1 manifolds give better mid-range power but reduce top end power by as much as 5-7%.
Generally speaking with a 4-2-1 manifold the starting point for Primary pipe length is 15 inches, thus Secondary pipe length is P - 15 inches. Changing the length of the Primary pipe tends to rock the power curve around the point of max torque. Shorter Primaries gives more top end power but less mid-range, and vice-versa. There is, however, little change in the peak torque or the rpm where this occurs.
Ideally the Primaries should come off the cylinder head in a straight line for around 4 inches before any turns occur.
Inside diameter of the pipe can be gained from:
ID = sq root [cc / {25 x (P + 3)}] x 2.1
Where:
cc = cylinder volume in cc.
P = Primary length in inches.
In some engines it can be useful to have a 'step' between the exhaust port and the Primary (ie the Primary bore is greater than that of the exhaust port). This tends to be the case in engines with rectilinear exhaust ports.
For a 4-2-1 system then, Primary pipe diameter is calculated as above. Secondary pipe diameter is given by:
IDS = sq root (ID x ID x 2) x 0.93
Where:
ID = calculated inside diameter of the primary pipes.
The pipe diameter can be used to change the peak torque rpm � a reduction in diameter of 0.125 inches will drop the peak torque rpm by 500-600 rpm in engines over 2 litres and by 650-800 rpm in smaller engines. Increasing the pipe diameter by 0.125 rpm has approximately the opposite effect.
The total length of the Collector and Tailpipe (to the front of the silencer) should be equal to P + 3 inches (or any full multiple of P + 3 for a road car).
Tailpipe internal diameter is given by:
IDT = sq root [(cc x 2) / (P + 3) x 25] x 2
Where P is calculated as above.
Collector length is given by:
CL = [(ID2 � ID3) / 2] x CotA
Where:
ID2 = diameter of Collector inlet
ID3 = diameter of Collector outlet.
CotA = Cotangent of angle of Collector taper (which ideally should be around 7-8� (certainly less than 10�).
The design of the collector should be such that the inlet pipes terminate abruptly otherwise the tuned exhaust pressure wave will carry on into the tailpipe and the calculations done to get the negative scavenging wave back to the exhaust valve on time will all be wrong.