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HYBRID FUELING 101

Posted: Mon Mar 17, 2008 10:56 pm
by SpudBlaster15
Part 1: Using traditional hybrid fuel meters correctly

Question: How many of those who have constructed hybrid launchers have used either an online calculator to determine their fuel meter pressure, or have used 0.042*mix*ChamberVolume or similar to obtain the volume of fuel required for your hybrid's chamber?

Question 2: How many of those who have used the above method have had problems when using relatively strong burst disks and high mixes?

There seems to be a good deal of confusion surrounding the process of fueling hybrid launchers. Most users fail to understand the exact principles involved, and instead misconceive the integral components of fueling, thus resulting in problematic or sub maximum performance. This post will cover the most important components of proper hybrid fueling.

Let us first assume that we have a sealed chamber with a fixed volume of 100 cubic inches.

Common fuel meter pressure calculators assume that the pressure inside the chamber will NOT rise when the fuel is injected, meaning the incoming propane charge of 4.2 cubic inches will displace 4.2 cubic inches of air inside the chamber, giving a stoichiometric ratio of 95.8:4.2. This is probably quite accurate for standard combustion launchers, but hybrid launchers use sealed chambers, which requires a different approach.

Back to our chamber. Because is is sealed, the oxidizer volume is FIXED at 100 cubic inches. Assuming the chamber is at standard pressure, this 100 cubic inches is one portion of a 95.8% stoichiometric ratio. So, to obtain the proper quantity of propane, we must figure out what 100 cubic inches is 95.8% of (this means dividing by the fractional value of this, which is 0.958), then subtract the chamber volume. So, we have;

V<sub>P</sub> = 100/0.958-100
V<sub>P</sub> = 4.384 cubic inches (I am going to leave out significant figures for these calculations)

As you can see, this is not a significant difference at atmospheric pressure, but once you begin to increase the propane content of the fuel mixture, huge error margins can arise.

Now, because you will be adding an additional 100ci of air, this function will now scale linearly, and you can simply multiply the required volume of propane from the 1x calculation by a scale factor of 2.

V<sub>P</sub> = 4.384*2
V<sub>P</sub> = 8.77 cubic inches

Alternatively, you can simply multiply both volume terms by their corresponding mix numbers in the original calculation;

V<sub>P</sub> = (100*10)/0.958-(100*10)

You can now divide this figure by your fuel meter volume to obtain a meter pressure in atmospheres.

I am hoping you all understand this by now, but if any portion is boggling your mind, just ask about it.

Part 2: Using chamber pressure to achieve stoichiometry

DYI brought this up in another thread as he intends to use it on a hybrid launcher, so I figured the "chamber pressure meter" had a place in this thread.

As you could have guessed, the chamber pressure in a closed vessel will rise proportionally to the amount of gas added to it. This forms the basis for an accurate metering setup using only the chamber pressure as reference. Propane is injected until the chamber reaches a certain pressure, then the supply is cut off, and air is added.

To determine the chamber pressure required to obtain a specific volume of fuel, we must first calculate the volume of fuel required. Out comes the 100ci chamber, which will be using a 10x mix (lower mixes really aren't very practical with such a metering setup). The required fuel volume for stoichiometry is;

V<sub>P</sub> = (100*10)/0.958-(100*10)
V<sub>P</sub> = 44 cubic inches

Now, after adding the 44 cubic inches of propane to the 100 cubic inches of air, your chamber pressure will has risen. By how much exactly? To figure that out, you must first figure out what fraction of the chamber's volume you have added. In this case, it is 44/100 = 0.44. Because one atmosphere is equal to 14.7 psi, multiply the fraction by 14.7 to obtain your result.

P<sub>C</sub> = 0.44*14.7
P<sub>C</sub> = 6.44 psi

This pressure will be constant no matter the chamber volume, but will vary depending upon the fuel:volume ratio.

Hopefully this guide has been helpful, and will prevent people from inaccurately fueling hybrids in the future. As I said before, if there is something you don't understand, read it again until you do, or if that fails, ask about it.

Posted: Mon Mar 17, 2008 11:07 pm
by bigbob12345
Thanks for taking the time to write this up.
I would even request it be a sticky.

Posted: Tue Mar 18, 2008 12:28 am
by jon_89
Wow. Thanks for writing this all up. I have had the idea for a while of building a mini hybrid. This question has nothing to do with this topic but I don't want to start a new one. Can I use a syringe to meter in my propane for a hybrid?(like a combustion)

Posted: Tue Mar 18, 2008 12:41 am
by Novacastrian
jon_89 wrote:Wow. Thanks for writing this all up. I have had the idea for a while of building a mini hybrid. This question has nothing to do with this topic but I don't want to start a new one. Can I use a syringe to meter in my propane for a hybrid?(like a combustion)
Yes John you can use a syringe to fuel a Hybrid mini. Have a look at this thread http://www.spudfiles.com/forums/the-bra ... 11795.html
The ball valve acts as a fuel receiver and the schrader valve acts as a pressure inlet and outlet- upon filling the chamber with fuel the schrader pin is depressed witch lets the butane enter and clean air exit, hence negating the problem of pressurizing the chamber whilst fueling, crystal?

Posted: Tue Mar 18, 2008 12:45 am
by Hubb
:lol: ^^As clear as can be (I got a 404 Error).

Posted: Tue Mar 18, 2008 12:48 am
by Novacastrian
Fixed the link, damn question mark at the end of it :oops:

Posted: Tue Mar 18, 2008 7:53 am
by FeLeX
Damn this helped a whole lot. Now I can finaly make a hybrid mini :D

Posted: Tue Mar 18, 2008 2:49 pm
by jimmy101
SpudWiki SPudWiki SpudWiki

Heck, a table of volume (and/or pressure) versus hybrid value for a standard chamber size (like 100ci) would be nice as well.

Posted: Tue Mar 18, 2008 3:26 pm
by DYI
Just to clarify about air: Assuming a 10x mix, after you add your propane (10.64 psi), you would then go on to add 9 additional atmospheres of air, bringing the total to 10 atmospheres of air, correct?

And I agree with Jimmy, this needs to be added to the SpudWiki. Probably stickied as well, as it will be immensely useful.

Posted: Tue Mar 18, 2008 3:29 pm
by SpudUke5
Never mind, misinterpreted a question

Posted: Tue Mar 18, 2008 3:31 pm
by SpudBlaster15
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Posted: Tue Mar 18, 2008 4:21 pm
by SpudUke5
i have another question:

Lets say that your chamber is 200ci and you are using a 2x mix.
so that means the equation is:
100/.916 - 200 = -90.829 ci of propane

Is that number supposed to be a negative?
Spudblaster15 wrote:You can now divide this figure by your fuel meter volume to obtain a meter pressure in atmospheres.
So does that mean the pressure is in bar? meaning the quotient of -90.829/25 (lets say your meter volume is 25 ci) is -3.633 bar?

Posted: Tue Mar 18, 2008 4:26 pm
by SpudBlaster15
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Posted: Tue Mar 18, 2008 4:39 pm
by SpudUke5
So if using a 200 ci chamber you would divide 200/.916-200?
Or 200/1.196 - 200?

I think i am confused on your variable representations.

Posted: Tue Mar 18, 2008 9:06 pm
by DYI
SB15 said 91.6% of the total molar fraction, not 119.6% (which is completely impossible in this case). 91.6% because 100-(4.2*2) = 91.6
4.2 being 4.2% propane : 95.8% air, and 2 being the mix