Intake Resonance The whole process leading up to the point of intake valve closure starts off with the cylinder sucking air in. To better visualize this, pretend the hand on the left represents one of the cylinders on the left. When the cylinder sucks during it's downward stroke, picture the hand pulling Spring A to the left. By pulling Spring A, Mass A will move to the left also, but with a slight lag. With Mass A moving to the left, Spring B will begin to feel a pull to the left. Spring B begins to stretch and exerts a pull on Mass B, however just as with Mass A, Mass B will lag the movements of the spring. Picture the hand coming to a stop after having moved to the left as described above. This is analogous the piston reaching the end of its intake stroke. The intake valve is about to close, but what's happening to our masses and springs? Depending on the strength of our springs (spring constant), and mass of our masses many things could be occurring. Ideally, and for maximum intake charging effect, Mass A and Mass B should still be travelling to the left, and just about to come to a stop. Just as Mass A and B are about to bounce back to the right (due to the action of the compressed springs), the intake valve should close. This scenario where Mass A and B are simultaneously ramming themselves into the cylinder is referred to as the primary resonance frequency (more on this later). When the engine is operating at a non resonant frequency (engine speed being analogous to the speed of the hand moving left and right) the following may occur. Suppose Spring B is very stiff. If Spring B fully compresses and begins to expand before the intake valve closes, Mass B will begin moving to the right. Mass B will no longer be contributing to the charging effect on the cylinder. In fact Mass B will be decreasing the charging and volumetric efficiency of the engine. The fact that the resonance frequencies in the engine help only at certain engine speeds means that to make an engine with a broad power band requires some sort of variable induction setup... VRIS! VRIS The purpose of the short and long resonance tubes is so that while the engine is changing speeds (i.e., acceleration) the mass of Mass B can be changed on the fly so that the primary (and secondary -- more on this later) resonant frequency can be adjusted to coincide with the engine speed. It's like being able to swap manifolds while you're driving. By changing the mass of Mass B, it now bounces back and forth at a different speed. If Mass B is too heavy, it will lag the movements of Spring B too much -- the intake valve will have closed before Mass B can even react. If Mass B is too light, it will begin to bounce back to the right before the intake valve closes. If Mass B is just the right mass, it will reach the limit of its leftward travel just as the intake valve closes. The butterfly valve shown above provides a shortcut to an air supply for the cylinders -- the other bank. Instead of drawing on the "heavy" column of air in the long resonance tube, air is drawn from the other cylinder bank through the 'U'-tube or short resonance tube. As briefly mentioned before, in the KL03 VRIS manifold there are two long resonance tubes leading into the manifold from the throttle body. The dual butterfly valves just after the throttle body select which passages the engine breathes through (the narrow and long passages, or the large passages + the narrow ones). The long narrow passages are represented by a Mass B of high mass, and the free-breathing large passages + narrow passages are represented by a lighter Mass B. At higher engine speeds the free-breathing passages are open and the resonance frequency of the intake is thus raised to coincide with the higher frequency cylinder pulsations. Primary and Secondary Resonance Frequencies 2.5L KL03 VRIS Operation At 0 to 3250 RPM, the engine breathes through the resonance tubes L1 in the diagram below. Valve A and Valves B are closed. A primary resonance occurs at approximately 3000RPM. Past this engine speed, the resonance charging effect diminishes -- Mass B is too heavy and is lagging too much. At 3250 to 4250 RPM, valve A opens. Now the engine has a shorter breathing route. Mass B has been lightened and the primary resonance frequency has been raised to about 4000 RPM. Past 4000 RPM, power again begins to fall off. Another resonance modification needs to be made if volumetric efficiency and torque are to be maintained. Although the engine gets some of its air via resonance tube A, air must still get into the manifold somehow: through the narrow L1 passages. Mass B can still be lightened by bypassing this passage with a shorter one. And so, at 4250 to 6500 RPM, Valves B open. Mass B is now at it's lightest. A primary resonance peak occurs at about 5000RPM. Past this speed, torque begins to fall off rapidly. However, there is a problem. There are no more VRIS configurations that will yield a primary resonance above 5000 RPM. The only alternative is to use a weaker secondary resonance to boost volumetric efficiency. At 6500, the VRIS butterfly valves return to the same configuration they had at 0 to 3250 RPM -- Valve A and Valves B all closed. The secondary resonance is not an ideal tuning setup. The charging effect is not very strong, and the narrow L1 intake passageways are restrictive to high speed air flow. What can be done to fix this? Well, one solution is to move the existing primary resonances higher up to try and fill the "torque void" past 5800RPM. More on this later. The relationship of some of these variables to the resonance frequencies are illustrated below...
The spring and mass model discussed above is what is called a Helmholtz resonator (or something like that). By taking the equations relating masses and spring constants to primary and secondary resonance frequencies, we can find the effect of modifications to the internals of the VRIS. The equations I used were modeled after a 3 liter VRIS engine with a different manifold design than the KL03. However, the behaviour of the KL03 can still be approximated using these equations because the KL03 manifold operates on the same principles. A particular modification I was interested in was the effect of boring
out the six intake runners. My intent was to raise the primary resonance
frequencies, especially the one at 5000RPM, so that the high end of
the powerband could be made use of. If the torque peak of the engine
could be moved up in the powerband, the result would be more
horsepower. This is probably the best modification to make to the VRIS. The larger passages will cause less pressure drop, and the torque void at high RPM's will be partially filled. Another possible modification to the VRIS is the 'U' tube. From the
graphs below, shortening the tube or decreasing its diameter would
also raise the primary resonance frequency. I have tabulated the general effect of some of some VRIS modifications
below...
Forced Induction Issues It can be seen that the resonance frequencies and torque peaks can be greatly affected simply by changing tube lengths and diameters. Similarly, changing the density of the incoming air also causes changes. The engine computer doesn't know how to set the butterfly valves to take advantage of non-atmospheric-pressure air, and so the primary and secondary resonances cannot be taken advantage of under boost. However, since the turbocharger or supercharger is doing the work of pressurizing the cylinders, you don't really need resonance charging anyway as long as boost is present. Mazda's turbocharged 2L JF engine did away with the butterfly valves altogether. The manifold was designed to provide a primary resonance charge at 1800RPM and a secondary resonance charge at 6200RPM. The low RPM primary resonance was probably designed to help generate torque before the turbo spooled up. The fact that turbos don't provide much boost at low RPM's means that the VRIS can still be useful while the turbo is trying to spool up. Even with centrifugal superchargers, boost can be pretty low at low RPM's so the VRIS can still be useful off of idle. The big problem with the VRIS is at 6500 RPM +. The engine computer
shuts the butterfly valves, severely restricting airflow. For
atmospheric air, the secondary resonance pulses would help charge the
cylinders, but with forced induction, the high density air being force
through these passages will not be able to achieve the secondary
resonance, and will lose a lot of pressure trying to squeeze through the
restrictive passages. The only way to get around this problem is through
some ECU reprogramming to keep all the butterfly valves open at high
RPM's. Much of the above discussion is based on equations and theory, both
of which don't always predict reality reliably. So don't blame me if
you Extrude Hone your intake and you end up losing power! |