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Calculations for Determining Air Flow & HP by Diameter

Started by JimiJak, May 01, 2014, 01:13:04 AM

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JimiJak

So...I've been working on some math lately, and figured since I had it all broken down into nice little spreadsheets I would share.

Why would you need / want to use these?
- Calculating your engine CFM.
- Calculating the flow capacity (volume or velocity) of different size pipes tailored to your engine (exhaust or intake).
- Calculating potential max HP achievable with each pipe size.

As an example, I have a much abbreviated version below. These numbers were calculated using a 3.5L engine, working at 90% volumetric efficiency, with a max boost of 15.5psi, and a redline at 6Krpm, using 16ga. T409 Stainless Steel; based on 686CFM:

DIA. | Inside Area/sq ft | Velocity/fps | Max cfm | Intake HP   | Exh. HP
2.00      0.0191650391           597           517          345            235
2.25      0.0246164280           464           665          443            302
2.50      0.0307392405           372           830          553            377
2.75      0.0375634766           304          1014         676            461
3.00      0.0450591363           254          1217         811            552
3.50      0.0620947266           184          1677         1118          762
4.00      0.0818560113           140          2210         1473         1004

What do these numbers tell you?
That the inside area of a 2.5" SS pipe is 0.03...sq ft which has a max cfm of 830. Also that an engine flowing 686cfm flows air at a velocity of 372fps, has a maximum obtainable horsepower of 553hp if equipped with a 2.5" intake, and 754hp if equipped with a dual 2.5" exhaust.

(Don't forget, for dual pipes, double the numbers.)

Now, these numbers have not taken into account the friction loss caused by bends or restrictions by mufflers. Nor do they account for the skim loss caused by laminar air flow against the surface of the pipe. This is purely an example of air flow in, or out of your engine, and the parameters caused by the restriction of different diameter openings ie. pipe size.

If you would like to see customized results to your own CFM, follow these simple instructions:
1. Visit THIS website and enter your cars parameters into the data boxes.
2. CLICK the SUBMIT button.
In the bottom R hand corner of the graph produced, you will find your car's CFM.
3. Download or edit as a Google Doc THIS spreadsheet I've created, from Google Drive and enter your car's CFM into the Volume / CFM column colored in RED.
4. Fill your cars CFM value into any/all cells within the Volume / CFM column, that you want data for. I wrote it for 1" - 4". The results auto calculate based on your CFM input.

I wrote it in a step by step fashion to show my work. It should be pretty easy to follow.

- Downloading the spreadsheet and adding your CFM will tell you the volume and velocity of your engine's airflow with each pipe size.
-The inside area and radius of each pipe, Max HP for intake and exhaust, and Max CFM, are NOT dependent on your engine's cfm...these are static numbers for each pipe size.
**NOTE: When air velocity reaches 450fps the sheer speed inhibits air flow and acts as a restriction. Velocity above 450fps is to be avoided.

As always, with any questions, comments, or concerns, please don't hesitate to hit me up with them. I love being here and hope this stuff can be useful to someone else.

I hope that wasn't too confusing.
"America is all about speed. Hot, nasty, badass speed." - Eleanor Roosevelt

2014 XSport Black Betty Build

SwampRat

There he goes again with the smoke pouring out of his ears ......
2013 SHO  ....  not mine anymore

2021 Edge ST

panther427

#2
 I'm thinking about 4 valve Turbo would have a higher ve.  Should be easily over 100%...

Do we have a compressor map for stock turbos yet
2013 SHO

JimiJak

I agree with you. But I don't have the resultant parameters to calculate a true VE. 90% is a good rule of thumb for a 4 valve NA.
If you up it to 105% it adds 50CFM. Either way the numbers above are just an example.

This thread probably isn't terribly useful by itself. But if someone's trying to calc flow rates or determine pipe size, I thought it would be a nice resource to have around.
"America is all about speed. Hot, nasty, badass speed." - Eleanor Roosevelt

2014 XSport Black Betty Build

JimiJak

Quote from: SwampRat on May 01, 2014, 01:28:42 AM
There he goes again with the smoke pouring out of his ears ......

HAHAHA
My conceptual understanding of hyperphysics has it's faults...so no accounting for friction loss. The fluid mechanics are too far over my head. So, you're right...I'm pretty sure I almost had a stroke trying to calc that stuff.
:shortbus:
"America is all about speed. Hot, nasty, badass speed." - Eleanor Roosevelt

2014 XSport Black Betty Build

panther427

The math for a NA motor is pretty easy. Um relatively speaking. I'm not sure how to calculate the boost pressure and variable valve trains effect on VE

BUT still it gets us a good idea. And shows that twin 2.5 inch exhaust is good enough for the power we can make right now.
2013 SHO

JimiJak

True story for the exhaust!

Well...you only need three parameters...I just didn't happen to have them:
Engine speed - rpm
Mass air flow rate - g/s
Intake air temperature - *F

With those three numbers you can calc VE through some ridiculous formulas that are pretty findable on the interwebs...
Enough math for me this week. Lol
Post it if you do the leg work though!
"America is all about speed. Hot, nasty, badass speed." - Eleanor Roosevelt

2014 XSport Black Betty Build