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Gulder coefficients for Hydrogen gas

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Old   September 28, 2016, 13:41
Question Gulder coefficients for Hydrogen gas
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First of all thanks for the forum.

I'm simulating Hydrogen fueled engine using G-eqn model.
To calculate laminar flame speed I'm using Gulder equation but I don't know the gulder co-efficients 'omega', 'eta' and 'zeta' for Hydrogen.

Can anyone provide the same or any alternate method to get the laminar flame speeds ?

Thanks in advance!
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Old   September 29, 2016, 13:50
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Shengbai Xie
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Currently we don't have those parameters as default for Hydrogen. You may find relevant researches else where. For example, this one:

Milton, B.E., Keck, J.C. (1984) Laminar burning velocities in stoichiometric hydrogen and hydrogen-hydrocarbon gas mixtures, Combustion and Flame, Volume 58, Issue 1, 13-22

You would have to make a custom UDF for the hydrogen parameters as the paper's equations are different from Metghalchi & Keck and Gulder.

Hope it helps.
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Old   November 14, 2017, 08:49
Default Numerical method to approximate the Gulder coefficient
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Jonathan Johnsplass
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Hi. I computed the Gulder coefficients for hydrogen and other gas compounds and multicompositions in my master thesis. I developed a python script where i scripted an optimization routine based on the open-source chemical kinetics software Cantera.

I computed the Gulder coefficients for hydrogen with the GRI-Mech 3.0. Here follows the coefficients for hydrogen:

W [m/s] = 2.094
η [-] = 1.068
ξ [-] = 0.424
R**2 (W,ηξ) [-] = 0.97
Φ [-] = [0.3-2.5]
α [-] = 2.9
R**2 (α) [-] =0.99
T [-] = [250 K -961 K]
β [-] = -0.04
R**2 (β) [-] =0.78
P [-] = [0.5 atm - 10 atm]

*R**2 = Coefficient of determination
*I attached the python files inside a zip-file.
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g-eqn, gulder co-efficients

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