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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.
http://www.rotarycarclub.com/rotary_...6&d=1265146172 I also had the program pump out the minimum length at an 8k redline. Here's what I had the program pump out: Quote:
So what do you guys think? (also this is for a runner diameter of about 4 cm) |
here is a look at my custom intake that positive pressure comes in at 2200k w/webbers dcoe 45 on 13psi boost at 3200k and puts out 322 to the wheels 360hp on my raceported 12A http://www.rx7club.com/picture.php?a...ictureid=13149 http://www.rx7club.com/picture.php?a...ictureid=13146 http://www.rotarycarclub.com/rotary_...pictureid=1571 http://www.rx7club.com/picture.php?a...ictureid=13145
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Though I must say, I really like the way your plenum is set up. It looks somewhat similar to my first attempt to digitally model the intake, though I didn't place the blow off valve on the plenum. I like the thought of having the vac/boost lines coming off the plenum. Do you run into any issue with pressure sensing with a turbulent flow? I suppose you really wouldn't because stock does the same thing. As for the code generation for calculating intake runner length and diameter I have some good news to report: http://www.rotarycarclub.com/rotary_...7&d=1265217595 I've also included the code below for further investigation for users who wish to run it themselves and maybe even critique my math. I wrote it in matlab which allows easy 3d surface rendering accurately. Code:
function []=runnerlength() |
I'm surprised... No critiques or suggestions on improvement? Is my math right? Do the results look accurate?
What runner diameter should I consider accurate? I've been leaning towards 3 to 4 cm in diameter, but if I wish to tune for 3500-5000RPM in peak torque I may run into problems actually fitting the amount of pipe for the runners. I'll be fooling around with the code (different temperatures, narrowing down the diameter to use, etc) and see if I can't get a finalized result for everyone's benefit. This should be quite helpful for individuals (and vendors) who wish to design their own intake systems. Consequently here's my next round of questions with regard to runners: What are the benefits/drawbacks of having multiple diameter runners--Having primaries one diameter and secondaries another? What about tapering? Venturi/Velocity Stacks and their affect on pressure drops, and other flow conditions? This should prove fairly interesting and thanks everyone for their help and support in this thread thus far! Hopefully others are learning as much as I am! |
Nice Matlab code, I used Matlab in school but never got around to using it for fun car stuff like this.
I have one comment and one question: 1. I knew some people who built a variable-volume intake plenum for dyno testing... it was essentially a box with fixed runners and a sliding lid (the throttle attached to the lid), sealing it was difficult but slightly easier than fabricating multiple plenums. 2. Is there a way of predicting the relative power gain or loss due to resonance tuning? For instance, if you could somehow predict that there would be a X% gain in power at the resonant RPM but a Y% loss due to some sort of antiresonance elsewhere, you might try runner lengths/diameters that not only maximize gains in your desired powerband but also minimize losses. |
Additionally, you might want to think about how you're going to test your setup. It seems it would be wise to use realistic ramp rates on the dyno (if the dyno software allows for this).
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Sorry if that wasn't clear... the plenum volume wasn't adjustable on-the-fly, the 'lid' position was changed between dyno tests and this involved clamps, bolts and probably some sort of sealant. In hindsight I should have taken a closer look at the setup.
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Good call on the math error! I should have just given the original equation. Apparently the algebra is a bit rusty (I didn't think it looked right, but I couldn't find the formula solved for L in the book).
The natural frequency formula is correct though, I just checked it. Anyway, I like where you are going with this. Something to remember on the Plenum is that the two rotors are 180 degrees out of phase and have a 270 degree intake duration. This means that both rotors take in air at the same time. This is looking good! There are more advanced formulas for varying cross-sectional-area runners, but I don't have the ambition to enter them into paintbrush and you can probably find them online anyway without any errors. If you want to do the math yourself, it is very simple to draw it up as a dynamic system and then find characteristic equations for it. I say this because you are most likely taking a course in dynamic systems right now or in the near future. The Plenum has compliance as it acts as an accumulator. The runner has a resistance (dissipative) and Reluctance (inertial) element to it. The port closing is the disturbance function. The system is a lot harder with changing area. Anyway, you will find that the wave intensity is a logarithmic decaying function and that the time constant is related to the runner smoothness (resistance) and the air velocity (inertia). I can't find the equation right now, maybe it is in a book at work. I will try to find it and let you do the Algebra. |
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Well my class is finished, time to get back to what I was doing. Quote:
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Crap, I think I made have figured out a mistake. Should the volume displaced be 1.3L or should it be half that?
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Okay, just double checked. The original formula I posted is correct.
We're not looking at the .0013/2 m^3 volume for displacement volume since intake is a continuous displacement of 1.3L (both rotors are 180* out of phase) |
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I think I need to have a look in the attic, I can't find that book anywhere. From your other threads, it looks like you have done a lot more research than I can remember from old textbooks.
The intake is looking good! I was thinking that the rotary intake strokes come twice as often as the piston engine intake strokes, meaning that the air had half the time to travel. The intake runner length equation may be off. I will try to get a chance to draw the dynamic model and solve the characteristic equations to see if I can derive the resonance frequency formula properly for a piston engine (it helps to stretch the algebra muscles every so often anyway, as they obviously atrophy). If I can, I will draw the model for the rotary and compare. |
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The way I looked at it is degrees of rotation compared one to the other. For 720 degrees of rotation of the crank you get 1 intake stroke (Just looking at a single piston), similarly for the rotary you get 1 intake stroke for 720 degrees of rotation (looking only at a single rotor). I had a simple program at one point that showed the correlation between the intake stroke of the rotary and piston with respect to engine RPM. I'll see if I can dig it up and validate my mental experiment. |
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