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Intake Design Exploration
So I've decided I want to produce a custom intake manifold, but I have no idea where to begin. Anyone have any links or words of wisdom on intake design? Plenum design, runner lengths (variable and fixed), pulse tuning, air intake velocity effect on torque and horsepower, etc, etc, etc. I'm looking for it all. I have a rough design in mind, but I would like to refine it and make it better and eventually using CFD to ensure the best possible outcome before producing it in real life.
So... Let 'em rip! http://books.google.com/books?id=DoY...age&q=&f=false |
http://www.rx7club.com/showthread.php?t=199788
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That works well, but what about the other stuff? Plenum design and so forth? (The RCC is a different beast when it comes to math--we like the nitty gritty... I'm actually going to be looking into a book that deals specifically with this question I posted, though it's out of print)
I'm going to check out this book: Theory of Engine Manifold Design: Wave Action Methods for IC Engines ISBN: 0768006562 |
Okay, so that book is okay... but doesn't cover anything specifically with rotaries. I saw maybe 6-7 books total in my schools library concerned about rotaries, and they were all from the 70's... I may have to start looking up more ASE articles for it... sigh, not what I wanted.
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Rotaries aren't that special; treat them as a two stroke two cylinder of stated volume (ie, 1.1 or 1.3 literss), or as a four stroke engine with twice the RPM. Port timing info is available, and with all of that info, you should be able to calculate runner size and length and plenum volume, as well as throttle body size for your given peak torque/horsepower point.
As an interesting note, by using exhaust and intake runners a couple of inches longer on one rotor than the other, each rotor will have a different peak power point about 500 or so rpm apart, which leads to a wide peak power. Helpful if you have a particularly peaky motor like a P-port or a big bridge. |
Here are some more relevant posts by rotarygod:
http://www.rx7club.com/showthread.php?t=94362 Quote:
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So I've started a preliminary design of the intake. And Suddenly everything I learned in Aero/Hydro dynamics is making sense to me and how I can mathematically apply what I learned. I may have a V2 of the manifold done by the end of the month. This should be interesting... :D
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In an application where the throttle body is on the side of the plenum (facing forward in a rotary application), it's best to use a plenum four to six inches longer than the distance from the front of the first runner to the back of the last runner, and taper the plenum the entire way. This helps the air "slow down" earlier in the plenum instead of wanting to slam into the back wall, and helps the front runners breath. In a setup where this isn't done, the rear-most runner tends to ingest the most air, and the front-most one (from the throttle body's perspective) tends to ingest the least. In a side-facing throttle body, the best solution would be a setup that tapered in both directions, with the widest portion in the middle, and some sort of diffuser to help the air with it's right-angle turn into the plenum, going either right or left. However, in a rotary specifically, since the middle ports ingest less air anyway, you can get very good results with a simple tube with a throttle body stuck on it, and let the "bad" shape direct the majority of the air into the big ports, where they're needed. Also it's important to bell-mouth your runner entrance from the plenum, or better yet, use short velocity stacks actually sticking into the plenum. Quote:
It's really much more useful in V8 applications, where each pair of cylinders 360* off from each other is setup with peak power 500 RPM off from each other, creating, say, two cylinders making peak at 4500, two at 5000, two at 5500, and two at 6000, creating a very wide power curve. Obviously you're trading a reasonable amount of peak power (up to maybe 30hp) for this much wider band, but in situations where that's desirable (notably rally and drift racing, and some road racing), this is a good way to help. To really pull it off you need individual cylinder fuel and spark control, however. |
Alright, I think understand what you're saying concerning the Plenum design. Shouldn't be too hard to do a digital mark up in a few. As for the velocity stacks I was already considering doing that.
My question however is for turbo charged applications does wave tuning do that much to begin with? I'm curious because if I'm understanding it correctly the positive pressure comes on (for me anyways--Turbo 6PI) around 2k RPM. If i'm getting positive pressure that quickly, no matter what wave I tune for with the intake runner lengths I'm going to end up with more pressure than the wave could shove in by itself (even when it's not during a compression wave). If my thinking is correct then I could be able to have rather long runners and be fine power wise. My concern from this however is will throttle response be adversely affected by having abnormally long runners? As it stands right now I'm thinking about keeping the runner length the same as a stock NA (roughly 17" or so), but directed much differently so the air needs to only take one continuous turn once inside the manifold. I think the best bet for me (and everyone else who follows this thread) right now would be to focus on one stage at a time. For now lets focus on Plenum design and worry about intake runners later: If I'm understanding you correctly you are telling me that a diverging-converging (Air-> TB:<Plenum>) nozzle design will work best for when the throttle body is placed on the longitudinal axis of the Plenum. Lets focus on this setup as it seems the easiest to manufacture and produce in ones garage. As air inters the divergence portion of the plenum the air will slow down according to thermodynamics: A/A*=1/M[(2/(k+1))(1+(k-1)/2*m^2)]^((k+1)/(2*(k-1)))Since it's air, k=1.4 and M<=0.6 the formula will give you A/A* for the divergence. (Note: A- Area when gas inters, A* When gas is at M speed) If the pressure drop is significant enough the temperature will drop, but flow speed will suffer as it drops down in mach number. Knowing what the temperature will drop to we can solve for velocity using Ve=sqrt(k*R*Te)Note: There is a conversion factor in here (and this will end up in metric units) Now you mentioned something about a baffle or is that not needed in a rotary application? Do we even need a Divergence-Convergence Plenum, or is it just a simple matter of getting a big enough pipe and sticking a throttle body on the end of it? Aside: Can anyone scan a lower intake gasket for a 6PI and take a single measurement for me? I wish to be accurate and start a digital construction of the intake system so when I have access to CFD I'll be able to accurately see where potential flow issues are. Thanks |
Be careful applying Speed-of sound math here... If you do a good job on the plenum, you should be able to mostly ignore the effects of the compressibility of the air. Most of your resonance tuning is due to the Helmholtz effect (AKA: organ pipe, more of a dynamic systems model than anything to do the compressibility). The air in the plenum should not be moving anywhere near the speed of sound.
Don't think about this too hard man, intake manifold are simpler than they would initially seem. Don't ever try a dynamic model on a manifold unless you are a glutton for punishment (I have tried it, it is not easy). Basically, your air velocity will follow the offset-sinusoidal waveform typical of an infinite-length-connecting-rod reciprocating engine (or a rotary, which has similar characteristics). The pressure drop at each transition is easily determined by using the lookup tables in the back of your fluids book, no difficult math required. Basically, you can get easy cross-sectional area requirements by taking the peak flow into the chamber and dividing it by the desired velocity (no rocket science there). With the plenum, everyone has their own idea as to how bast power is obtained. I won't take to time required to explain my opinion on that. As I said before, you can easily find the flow through any given portion of the manifold at any given time with reasonable accuracy. I will venture to say that I have seen tapered plenums, log plenums, cross rams, tunnel rams, inboard velocity stacks, tapered tubes, straight tubes, etc. in operation and I have not seen the simple log with beveled, constant cross-sectional area runners beat yet. I hope this helps some. I know that math is awesome, but don't let it bog you down. Seriously, I found that going by my intuition and what feels right is often better than trying to crunch crazy numbers, there are too many x-factors to make any good simulations given the typical person's toolbox. Edit: I hunted high and low for an intake manifold gasket and only succeeded in concluding that it is high time to clean out the garage (I know I have two brand-new ones, somewhere). Can I take a scan of a LIM for you? (I can find that...) What measurement do you need? |
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Basically Dreal/Dscale=Dreal/Dscale: 10.5mm/1.25mm=Dreal/8.9mm; Dreal=74.76 |
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CFD software is outside my experience, but if it is capable of simulating the flow in the manifold accurately (assuming that it is given good data) you have an excellent opportunity to maximize your learning as you go, while using the resources that you have to their fullest potential.
As you said, you do not have the typical toolbox. Helmholtz tuning works for any level of boost (it is basically the natural frequency of resonance of the fluid system). The speed of sound varies with density of the charge, so you will have to that into account on the Helmholtz equation. You can write the Helmholtz equation most easily in terms of the resonance frequency (First equation) Solved for L gives the second equation. This expects a uniform cross-sectional area for the runner, as any changes in velocity will create additional and possibly conflicting pressure waves. (a = speed of sound, V = velocity in the runner at time of wave excitation, L = Runner length from source to plenum, A = cross sectional area of runner, f = frequency of resonance (which is related to engine speed, obviously). I hope this helps some. With the tools at your disposal, this should be one awesome manifold. The offset sinusoid expresses the chamber volume as a function of E-shaft rotation (the period is 270 degrees, the amplitude is 20 in3 (327 cc) (654 cc peak to peak). Taking the derivative with respect to time requires that the x axis be in time units (pick an engine rpm). This will give you the rate of change of chamber volume with respect to time, which should give you a good velocity characteristic (given port cross-sectional area). Hopefully this will be good enough input data to get a reasonable approximation of how the manifold will flow. Keep up the good work! |
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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. |
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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. |
Each Rotor has one intake stroke per 360 degrees of rotation.
The rotor completes 1 full revolution every 1080 degrees of eccentric shaft rotation. This is 3 intake strokes. I think this will change the dynamics. |
Him... I don't know then. I may have to re-evaluate the length formula, though from my understanding and checking it against the stock length on the NA version of the FC it seems to be accurate.
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The nice weather will soon be over. This sounds like a winter project with a notepad and a calculator. I think I loaned engine dynamic analysis book to a friend, as I can't find it anywhere. If I can find it, I will try to derive the equations for a rotary engine (from the piston engine equation derivation explanations in the book). It has been too long since I studied any of this for me to trust my memory.
I know that the rotary engine has a 298 degree intake port duration each revolution, making the airflow into the two rotors overlap (one is still filling when the other starts). This is also why the engine is so smooth, as the power strokes of the two rotors overlap. The actual maximum to minimum volume cycle of the engine occurs in 270 degrees of eccentric shaft rotation. Do you have an engine apart so that you can get a feel for what it does as it turns? I can try to get pictures, but a photographer I am not (as I think is evidenced by many of my pictures on this site). For what it's worth I think this development is very helpful to the community and I appreciate your enthusiasm and effort on the project so far. Thanks! |
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In the meantime however I need to do my boundary layer theory report.:o10: |
Of interest and the reason for using 0.0013 cubic meters:
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So... I figured I should update this thread.
I'm currently going through design iterations of a new intake. As it stands I have balanced the runners with plenum geometry. Some pointers to keep in mind when doing this yourself:
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I should clarify a previous post. I re-read it and got confused myself.
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My apologies on the misinformation. The cool thing about the rotary engine is that although the port open time is overlap-equivalent to 2/3 the timing for a piston engine - 192 degrees for a four port (talk about a tame cam), the air has the same amount of time to enter the rotor as it would with 288 degrees of intake duration on a piston engine. Bear in mind too that well-ported ports on a rotary flow much better than an equivalent-sized valve (over 3 square inches of area between the ports would require one 2+" valve or 2 1.4+" valves). This is why the intake manifold is your biggest friend (or enemy). Thanks for all your research in this vex! |
Time for another update (this will be used in conjunction with the NA to Turbo sticky found in the 2nd Gen forum):
To further understand the flow distribution to each runner in a manifold one needs to consider the geometry one has chosen. Flow distributions are going to be significantly different if one chooses runners 'inline' with the throttle body as compared to a 'non-inline' manifold. A picture is worth a thousand words: for a 'non-inline' type of manifold think of this: http://www.roadraceengineering.com/p...e_manifold.jpg for a 'inline' type of manifold think of something similar to this: http://i15.photobucket.com/albums/a378/2a_ron/bay2.jpg Both have their pro's and con's. For most people an 'inline' style manifold is going to be just fine for what they want. However there are some things to be made aware of if you're going to be making your own. First and foremost, any changes to the stock manifold should be qualified. That is; use a CFD program to calculate how your flow is going to be affected. I'm not going to get into the nitty gritty of CFD programs or even how to run them, but suffice it to say that it's better to use one than to not (you can look up OpenFOAM for a free CFD program with a large support community--I however do not use it, so don't ask me). Once you have qualified your base design to ensure uniform airflow distribution between both the front and rear rotors look at the size of the throttle body. If you can't get the flow just right, take a close look at your intake velocity . When using a CFD program, you may notice that some of the issues you encounter come from too fast of an airflow into the manifold (if you're doing boosted applications you'll need to calculate the volumetric flow rate coming through the throttle body). There are a few ways to overcome too fast of an airflow into the manifold. First and foremost increasing the size of the throttle body will inherently slow down the flow for a better and more uniform distribution. However, just upping the throttle body may not yield desired results. One must further look at how the air is expanding into the plenum. Without getting into a lot of engineering speak and mathematics; a gradual enlarging of the effective area of the flow will slow down the flow. Such an object is called a diffuser (no we're not talking about the thing that goes under the rear bumper--though they do the same feat). Diffuser geometry is very tricky to get right. If, for instance, you enlarge the diffuser too quickly you will cause the air to separate (engineering speak: The boundary layer separates) from the wall of the diffuser causing turbulence and circulation (something we're trying to avoid at this point of the flow). If you carry on the diffuser for too long the boundary layer will begin to enlarge and separate; eventually causing circulation. This is, of course, based on the intake velocity. Slower traveling intake charge will be easier to expand than a faster moving charge. For understanding the above here are some images of 75mm 'non-inline' manifold compared to a 90mm 'non-inline' manifold. (reserved) |
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Here's a very early beta of Vex's proposed program written in C# for ease of development.
It only accepts Vex's proposed metric values for now, but I need to verify if the values and math work correctly or not to go forward with further development. |
it looks like it's outputting the same values. Here's some tests for verification:
inputs: r=0.019 rpm=6500 vol=0.0013 temp=293.15 Your output: 0.22178 m My output: 0.2218 m (Due to format truncation). r=0.019 rpm=3200 vol=0.0013 temp=293.15 yours: 0.91507 mine: 0.9151 Looks like your math is fine to me. Is there a specific error you're concerned with? |
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