Eddy-Dissipation Model: production rates limiters equations
Let's say we have
from Fluent Theory Guide 14.0 or 14.5, section 18.104.22.168, equation (7-25), one of the two limiters for production rate of O2 is :
Then I read the cited reference in Fluent Theory Guide [Magnussen and Hjertager, On Mathematical Modeling of Turbulent Combustion with Special Emphasis on Soot Formation and Combustion, 1976] and here is the limiting formula for the oxygen (equation (2) of the article):
where is the stoichiometric oxygen-to-fuel mass ratio:
inserting (6) into (5) results in
Comparing (7) with (3) and (4), it looks like Fluent Theory Guide and Magnussen formulas don't match.
Did I go wrong somewhere? Or is there a typo in Fluent Theory Guide?
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