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mrshin
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Flow vs. Pressure Mon, 03 January 2005 11:27 Go to next message
I've been through a 900 page thermodynamics book with minimal success, and had a look on the net without much luck yet. To save me a trip to the library, who can point me at a formula that can help me work out the difference in flow through an injector that changing fuel pressure will make? Someone must have an idea!
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Ra28Freak
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Re: Flow vs. Pressure Mon, 03 January 2005 12:57 Go to previous messageGo to next message
its to do with the area of the injector valve thing vs the flow start from there sorry verry late just throwing stuff
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gabe
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Re: Flow vs. Pressure Mon, 03 January 2005 14:39 Go to previous messageGo to next message
OK, I don't know if this will help at all, and it may be a little deep for what you are wanting to work out, but try anyway.
The units are a little funny but if you're good with maths you should be right.
Also I can't type the formula out so it looks right on the screen, or I would have done that!

1. Multiply the specific gravity of the fuel (which will change with temperature) by 12.

2. Divide into this figure the differential pressure across the injector in inches of water.

3. Multiply this figure by 64.34.

4. Square root this figure.

5. Multiply what you get by the cross-sectional area of the injector in square feet (1mm squared is equal to 1.076391 x 10 to the power negative 5 square feet).

6. The figure you now have is the volumetric flow through the injector in cubic feet per second! Surprised

This formula of course doesn't take into consideration the viscosity of the fuel, velocity of approach to the injector or frictional losses, but these will make bugger all difference in the real world anyway!

Hope it helps!

Gabe
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gabe
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Re: Flow vs. Pressure Mon, 03 January 2005 15:04 Go to previous messageGo to next message
Just with that, you will need to divide down the cubic feet per second figure you come up with, to the duty cycle of your injector.

Also, this formula assumes the injector is instantly open. But in the real world it takes time to open then close again. So the answer won't be spot on, however, you can compensate for the difference when working the formula through!

Gabe
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MS-75
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June 2002
Re: Flow vs. Pressure Mon, 03 January 2005 20:19 Go to previous messageGo to next message

To find the new flow rate if you have increased the rail pressure do as follows-

SQRT(new press/old press) X old flow rate = new flow rate

It means of course that increasing rail pressure by 100% only gives a 41% flow increase-f***en laws of physics!

I think that comes from Bernoullis stuff if my memory serves correctly.

Have a look at the RC Engineering site-lots of useful stuff.

http://www.rceng.com/technical.htm

Cheers
Sean
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Skip
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October 2003
Re: Flow vs. Pressure Mon, 03 January 2005 23:55 Go to previous messageGo to next message
Just looking at it quickly id say its just a simple case of Bernoullis as sean suggested.

After cancelling all the commons out like density and area of injector and subbing in flowrate formula you end up with:

P(1) + Q(1)^2 = P(2) + Q(2)^2

Therefore

Q(2)= SQRT(P(1) - P(2) + Q(1)^2)

This gives a different answer from seanns formula.

But now you know where you are ended (start with bernoullis) it should be easier. May have made a mistake somewhere.

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shinybluesteel
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Re: Flow vs. Pressure Tue, 04 January 2005 00:15 Go to previous messageGo to next message
mrshin, id just work it out experimentally (set duty cycle, measure pressure, hose petrol into a easuring glass for a set period of time), as i dont think it will increase linearly with pressure, and the outlet nozzles will cause issues too.

I dont think you can really get shitloads more flow from just increasing pressure, but it is worth a try.

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Miss MR2
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Location:
Newcastle
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April 2004
Re: Flow vs. Pressure Tue, 04 January 2005 00:41 Go to previous messageGo to next message
Try looking in a fluid dynamics or momentum transfer textbook. Thermodynamics is about heat.

I cant help with any formulas, but bernoullis would be an approximation. It doesnt take into consideration viscosity (which is a function of temp so make sure you make any measurenents at the same temp) or pressure drops due to bends or change in area of the injector or the pipe.
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mrshin
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Re: Flow vs. Pressure Tue, 04 January 2005 10:49 Go to previous messageGo to next message
I was leaning towards bernoullis theorum, good to know I've got a few other people to blame as well if it doesn't work Very Happy

I was using the thermodynamics book simply because I had it handy, leftover from uni. The change in viscosity and density with temperature are being compensated seperately with a temp sensor.

I need to be able to do this simply because with what I'm doing, there are enormous changes in fuel pressure which I can't do anything about. I already have a temp and a pressure sensor in the fuel rail, I'm just trying to make up some tables to shove into the Motec, no doubt they'll need a little tidying up on the dyno later anyway. Thanks guys!
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HighRolla
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Sydney
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January 2004
Re: Flow vs. Pressure Tue, 04 January 2005 12:03 Go to previous message
Theres some blanket rule - I'll check in a performance book I have.

sorry cant find it. Will have a look tomorrow

Was something like an increase in fuel rail pressure of 35kPa gave only a 10cc increase in flow at the injector..something like that anyway.

eg. 4AGE injector at rail pressure 255kPa is 182cc/min
if you increase the rail pressure to 290kPa it will now be approx 192cc/min

I have to check the exact numbers though. I was looking into it a while ago

Funny how quickly you can forget all the fluid dynamics and adopt rules of thumb..

[Updated on: Tue, 04 January 2005 22:18]

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