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-   -   How To: Fuel Injector Sizing/ GASOLINE AND E85 (https://www.rx7club.com/single-turbo-rx-7s-23/how-fuel-injector-sizing-gasoline-e85-1056358/)

Howard Coleman 02-02-14 08:52 AM

How To: Fuel Injector Sizing/ GASOLINE AND E85
 
Much of this post can be found scattered around this board but i thought it would be a good idea to put it all together and add in alternative fuels such as E85, ethanol, methanol and that non-fuel water..

The rotary is unique. It would be a big mistake to use piston metrics when planning setup.

How unique?

Let's talk airflow:

A piston engine can generally make ten hp for every pound per minute of air, so a 70 pound per minute turbo can make 700 piston rwhp. As we navigate the web looking at turbos we often see a hp tag... for instance a 73 pound per minute TO4Z/GT500/PT67 is often rated at 730 hp. If you are looking for 730 you'd best look elsewhere because they are talking PISTON lingo.

Should you wish to translate to rotary you'd take the pounds per minute, or the estimated HP number, and divide by 1.3.
73 pounds per minute of air is 561 ROTARY rwhp.

BTW, that doesn't mean the rotary takes a back seat to the piston engine. While it does take a discount due to lower volumetric efficiency (VE), it more than makes up by flowing more air versus displacement.

O K, let's get into it starting with airflow and hp.

FDs are all about airflow from turbos.

Most turbos have a compressor map which sets forth maximum airflow in pounds per minute and other metrics such as efficiency as well as airflow at differing boost levels etc. (see Sean's “How To Read a Compressor Map” thread sticky in the Single Turbo Section).

This thread is about properly sizing the fuel system(s) so let's just focus on the maximum air as set forth on a commonly used GT3582R compressor map.
Airflow is represented in pounds per minute. The standard GT3582r makes approx 62 pounds per minute max.

Rotaries require 1.92 CFM (cubic feet per minute) to make one rear wheel hp.
62 pounds per minute times 14.471 equals 897 cubic feet per minute.

Now that we have CFM we divide by 1.92 to get rear wheel rotary hp.
897/1.92 = 467 max rotary rwhp.

TO4Z, GT500, PT67, Borg Warner S300 63, the newer GTX3582r turbos make approx 73 pounds per minute.
73 X 14.471 = 1056 CFM/1.92 = 550 max rotary rwhp

moving to the 80 pound+ turbos…

GT4094r makes 80 pounds, 1157 CFM, 603 rw rotary SAE hp

BW S300 64 FMW makes 80 pounds, 1157 CFM 603 hp

GTX4088r makes around 84 pounds, 1215 CFM, 633 hp

GT4294 puts out 85 pounds, 1230 CFM, 641 hp

Now that we have an understanding how to get CFM from pounds per minute and then rw rotary hp let's move on to solving for fuel requirements from air generated.

AFR

Air Fuel Ratio... 10 to 1, 11 to 1, 12 to 1. These ratios are for air and fuel measured in POUNDS.

11 to 1 is 11 pounds of air and one pound of fuel.

Back to the standard GT3582r. Let’s calculate fuel injector sizing.

We need some "givens."

"Given" we want to have enough fuel to run 10.0 to 1 AFR if necessary. A small amount of overkill in the fuel department is prudent. We won’t be tuning 10.0.
"Given" we want to run our fuel injectors at no more than 85% capacity (expressed as duty cycle). Injectors run at more than 85% become unhappy.

Assuming 62 pounds per minute of air, at a 10 to 1 ratio we need 6.2 pounds per minute of gasoline.
62 pounds air
6.2 pounds gasoline

The 6.2 pounds is NET into the engine.

When sizing injectors there are two deducts to get to NET that need to be added back to get to GROSS which is the common number used when referring to injectors by size.

The two deducts are duty cycle and lag.

We wish to limit our fuel injectors to 85% duty so we divide 1 by .85
1/.85 = 1.1764

another adjuster that needs to be recognized and added to the calculation.... LAG.

Fuel injectors are sold based on max flow output such as 850 or 1600… this is measured when the injector is open continuously.. in the real world, our world, injectors open and close.

It takes time to open fully. During this time and the duration of the closing time the injector is not flowing as much as if it were wide open. This is called “lag” or “deadtime” and it costs flow. The amount is somewhat variable based on voltage and other variables.

The delivery cost of lag varies and I will use 13%.

My method of injector sizing starts w a known, the airflow in pounds and the AFR, which gives us fuel in pounds. We now can convert pounds to cc per minute and we know the NET Fuel Needs.

In order to select the correct injectors we need to calculate the Gross Fuel Needs.

Which is now easy…

Back to the 62 pound GT3582r

Adjusting for 85% duty and 13% lag we find we need to multiply our 6.2 pounds by 1.352 to get to GROSS Injector requirements.

6.2 X 1.352 = 8.382 gross pounds of fuel.

The next step is to convert the pounds of gasoline to gallons. Gasoline weighs 6.35 pounds per gallon.

8.382 pounds / 6.35 = 1.320 gallons per minute

Google now does conversion so Google “1.32 gallons per minute to cc per minute” and you get 4996 call it 5000 cc per minute.

5000 GROSS injector capacity will properly service 62 pounds per minute or 467 rotary rwhp..

Given the above calculations we can now easily calculate Gross Fuel Injector delivery requirements for other turbos based on max air output.

TO4Z, GT500, PT67, BW S300 63, the newer GTX3582r turbos make approx 73 pounds per minute.

550 max rotary rwhp/467 = 1.177 X 5000 = 5888 Gross Injector

moving to the 80 pound+ turbos…

GT4094r 603/467 = 1.291 X 5000 = 6456 CC Gross Injector

BW S300 64 FMW 603 = 6456 CC

GTX4088r makes around 84 pounds, 633/467 = 1.355 X 5000 = 6777 CC

GT4294 641/467 = 1.372 X 5000 = 6863 CC

Yes, you can make the above power w slightly less injector because I am wanting you to have enough to run 10.0 if need be. Further, you can up the rail pressure from 43.5 psi for more net flow. The newer Bosch EV14 injectors can run at 8 BAR (116 psi). Just remember that you get the square root of the pressure increase.

As example, let’s say you raise static pressure 26.4% from 43.5 to 55 psi.

You would get a 12.4% flow increase.


of course all of the above is for gasoline. there is a growing trend towards E85 which changes injector requirements. actual rotary power output per volume of E85 is not as settled as gasoline however the BTU relationship between the two fuels is settled.

Gasoline (racing or pump) has 116,090 BTUs of power per gallon.

E85 has 82,300. (i am using 82% ethanol, 15% gasoline and 3% non-fuel)

116,090/82,300 = 1.41

IF the fuels relate on a BTU basis in the rotary you will need 41% more fuel injector capacity.

notice the word "IF"

it may be possible that other factors besides BTU content influence power output. i have found in my limited E85 experience that my actual E85 consumption is somewhat less than the BTU relationship and this could be entirely possible. i will soon be back on the dyno for a lengthy evalutation of my BW EFR9180 and will have better info at that time. if, however, you go w the 41% increase w E85 you won't be underfueled.

more later on E85.

howard
__________________

04G35S 07-31-14 09:39 AM

This is AWESOME info!

Side Note: I didnt know CPR was in WI! I will be having you guys build my motor when she finally lets go! I am right in Madison!

thatkid2007 08-06-14 08:54 PM

Thanks for the awesome info!!

BezRx7 09-11-14 07:36 PM

Thank you so much for this info Howard. Couldn't come at a better time. Absolutely enjoy reading your posts, they have influenced my build so much.

Bottled Morphine 05-23-15 12:49 PM

Great post man, very informative. Broken down enough for even ME to understand and assist in choosing what size injectors I need for my 72mm full bp build. I'll be using e85 so I may contact you further for some assistance though. Again just an excellent post.

WayTooFastMotorsports 03-14-18 03:46 AM

awesome information, very good explanation and breakdown

mslo 03-22-22 12:13 AM

Super helpful information, I only have one question when reading this.

"5000 GROSS injector capacity will properly service 62 pounds per minute or 467 rotary rwhp."

By gross injector capacity do you mean that the sum of the injectors you're running has to be 5000cc.
In other words running x2 primaries at 750cc and x2 secondary's at 1500cc would be a Gross injector capacity of 4500cc.

Am I understanding this correctly. Also if I'm not supposed to comment on a sticky'd thread feel free to remove this comment.

Slides 03-22-22 07:13 AM


Originally Posted by mslo (Post 12511274)
Super helpful information, I only have one question when reading this.

"5000 GROSS injector capacity will properly service 62 pounds per minute or 467 rotary rwhp."

By gross injector capacity do you mean that the sum of the injectors you're running has to be 5000cc.
In other words running x2 primaries at 750cc and x2 secondary's at 1500cc would be a Gross injector capacity of 4500cc.

Am I understanding this correctly. Also if I'm not supposed to comment on a sticky'd thread feel free to remove this comment.

Yes that is how it is being described, total nominal flow of the injectors, not corrected for dead time at nominated engine speed.

neit_jnf 01-27-23 04:36 PM

I'm using -6an (3/8") and -4an (1/4") copper-nickel hard lines in some parts of my build although not for fuel, at least not yet.
I use McMaster JIC stainless (also available in brass for less$) 37 degree sleeves (ferrules) and nuts and single-flare the tubes to 37 degrees with a Ridgid flaring tool that so far has made flawless flares.
Good option to make your own hardlines.

https://cimg9.ibsrv.net/gimg/www.rx7...b56254f383.png
https://cimg6.ibsrv.net/gimg/www.rx7...0b1cfa13bc.png
https://cimg2.ibsrv.net/gimg/www.rx7...750fb22093.png

TeamRX8 01-29-23 02:17 PM

had a full-tard brain fart in the original calculation for the fuel flow / line size estimate and edited that out. The flow limit for 0.028” wall cunifer hardlines on E85 is going to be hitting the 4 ft/sec velocity-turbulence limit:

0.375” OD - 400 lb/hr
0.500” OD - 775 lb/hr

E-85 at higher hp levels will require -10 or larger, which in cunfier is going to require multiple lines. Or at least I have’t found anything over 1/2” ID yet. Stainless steel is an option. I’ll need to study this some more making sure to double-check myself.



Originally Posted by TeamRX8 (Post 12547083)
Seems proper to have fuel line sizing in this thread as well. Having bought a car where the previous owner installed numerous regular SS braided rubber fuel line hoses to and fro, then later decided to start using ethanol. Which now 1.5 years or so after the purchase decided it was time to rot out and add some joy into my life.

When it comes to fuel line sizing most online sources take an unprincipled engine hp approach rather than directly addressing flow rate, pressure drop, and velocity. Then they’re all mostly reciprocating piston based hp levels as well. So having a rotary engine adds another layer of bovine fecal matter icing on top of the “pulled some numbers out of your butt” cake.

After some frustrated searching, finally found the webpage linked below that discusses a few aspects to consider


https://lmengines.com/pages/fuel-line-sizing


which then also has a link to a pressure drop & flow velocity calculator based on fuel flow, fuel type, line ID, line length, vertical head height, etc. as follows


https://l-m-engines.myshopify.com/pa...ine-calculator


Most of the undefined hp guesstimators would suggest using an 8AN (1/2”) line for 9300cc of gross total injector flow for my main supply line length, but this calculator showed that 6AN (3/8”) was more than adequate. There’s a notable cost difference between the two sizes.

I also prefer the more modern kevlar/aramid braided hose (not Nylon braiding!) over bling-bling SS braided hose. Because all that SS braiding adds up to considerably more weight, the tortuous pleasure of a thousand finger pricks installing the fittings, electrostatic discharge issues between SS braiding and hose lining forming leaks over time, etc.. Coupled with ethanol fuel use, a PTFE/teflon or other adequate lining is costly when running a long length. Such as from the pump/tank at the rear forward to the engine bay in the front, or vice versa for a bypass return line.

So also opting to run cunifer hard lines for those long lengths instead. It’s not only easy to bend and flare for 37° AN flex hose connections, it’s also corrosion resistant against the fuels we use on the inside, as well as the road and environmental elements on the outside. This particular supplier provides it in 0.028” wall thickness. Most people who know of it only think to use cunifer for brake lines, but it makes for a good fuel hard line too:


https://cunifer.com


unfortunately the weblinks may die in time, the internet being what it is …

.


Zepticon 01-07-24 08:28 AM


Originally Posted by Howard Coleman (Post 11671585)
A piston engine can generally make ten hp for every pound per minute of air, so a 70 pound per minute turbo can make 700 piston rwhp.
....
Rotaries require 1.92 CFM (cubic feet per minute) to make one rear wheel hp.

Where are these numbers found? @Howard Coleman

TeamRX8 01-07-24 11:37 AM

it’s a known approximate quantity based on history

go back to the BW EFR8374 info and note they have it rated at 750 hp, and even though the comp map goes out to around 78 lb/min, the efficiency disappears after about 75 lb/min

75 lb/min x 10 piston hp per lb/mn comp flow = 750 piston hp

but it can vary depending on fw bhp vs rw hp

Because Garrett uses 11 hp per lb/min comp flow for rating their turbos, but is generally viewed as bhp without any drivetrain losses

so on a rotary the approximation is 7.7 whp per lb/min comp flow

75 lb/min x 7.7 is roughly 580 rotary whp for an EFR8374

they’re approximations, the actual details can matter and result in deviations. Obviously the turbine needs to be appropriately sized, dyno results vary, engine configuration and tuning vary, and so on …
.


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