Intake Design Exploration

[vex]

Okay, I'm working with the formula's you gave me and I've got it narrowed down a little bit. I have found at least two parts where the pressure will affect the runner length:
The amount of air displaced (when calculating the velocity in the runners), and the speed of sound propagation (sqrt(gamma*R*T)). Temperature and Gamma may change with an increase in pressure. I'll post up the full formula I have when I've got the little details worked out.

[vex]

so... my original understanding of the formula was flawed so I did a little research, properly solved for L and then plotted it as a function of RPM. Here's a picture of the plot I was able to derive.


I also had the program pump out the minimum length at an 8k redline. Here's what I had the program pump out:

>> runnerlength()
Assumed redline of 8000
Min Runner Length: 0.162229 m

Consequently I think it will require a little tweeking in order to be extremely accurate. But assuming that there's about 10 cm or so inside the engine itself it makes absolute sense that a 11 cm intake manifold at redline is so small... but who knows.

So what do you guys think?

(also this is for a runner diameter of about 4 cm)