Fuel density change with temperature formulae

[Snelly]

Hi,
Can anybody provide me with an equation to calculate the fuel density change with temperature. Also any official references

We measure fuel flow rate with a turbine flow meter and need to have the flow rate in pounds per hour.
Knowing the density we can simply multiple the volumetric flow rate (gph) by the density (lb/gal) to get the mass.

Suppose we measure a fuel sample density and temperature.
Then we flow the fuel and dynamically measure the temperature.

What is the equation to calculate the new density due to the temperature difference.

The fuel is Jet A-1 (JP-8) aviation fuel.

Any advice gratefully received...

 

[BigInch]

The bulk modulus describes the relationship between density, pressure and temperature for a fluid.
Jet fuel

http://www.eng-tips.com/viewthread.cfm?qid=159698&page=4

Bulk Modulus

http://www.engineeringtoolbox.com/bulk-modulus-elasticity-d_585.html

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http://virtualpipeline.spaces.liv

 

[ione]

Jet A-1 is a blended kerosene grade of fuel and its density varies with its formulation. The attached a paper reports a few of density values vs. temperature. You could insert them on a spreadsheet and extrapolate a best-fit equation.

 

[jmw]

The source for the calculations is the Manual Of Petroleum Measurement Standards.
These days the recommendation is that the calculations are the standard and not the tables.

There is a spreadsheet solution here:

http://viscoanalyser.com/page8.html

(Density 12MF.xls) which has been independently checked but which doesn't yet have the pressure correction. In your case, if you know the volume at standard conditions (Turbine meters are velocity meters and so usually have factors to correct for temperature and pressure geometry effects.)then you want the density at standard conditions.

Of course, if you have a turbine flow meter, you could simply add an online density meter. Engine test rigs have often chosen the turbine meter and density sensor path to mass flow over coriolis meters because of the much better response of the turbine meter to step changes in flow (Typical figures quoted are 7ms to a 90% of a step change in flow). Not sure about modern coriolis meter response times so it may have changed.



JMW

http://www.ViscoAnalyser.com

 

[Snelly]

Thanks everyone.
I still need the actual formulae, which I'm trying to track down.

I had a forumla from Honeywell performance department years ago but that needed the SG of the fuel at 60 degrees F. So I would have to calculate that? then compensate for the live fuel temperature reading.

JMW - A live density meter might be the way to go in the future but my presnt project doesn't have one, so I need to calculate it all...

 

[jmw]

Some working calculations can be found from the Emerson manual for the signal converter.
Note that when you are calculating the density at 15^oC it is an iterative calculation.

http://www.emersonprocess.com/micromotion/products/densitometer-signal-converter.html

and click on the liquid software 1020.
These calculations are not strictly as per the Manual of Petroleum Measurement Standards but the results check out fine.
Be careful if you go after the pressure correction because these manuals repeat the information twice and there is a difference.



JMW

http://www.ViscoAnalyser.com

 

[jmw]

Make real sure it is the liquid density software manual and it is 2010.
1020 is the gas and as I just discovered, whoever set up this new web page has linked the same gas manual to the first three links.
The fourth link is good.

JMW

http://www.ViscoAnalyser.com