I'm revising and reimplementing software for modelling effects of hazardous substances releases. I got to the area gas jet dispersion (also named as turbulent jets, sonic and subsonic gas jets etc.) For the kick off I've tried to find some semi-empirical models and I got to the chapter 15.20 - Dispersion of Jets and Plumes in that "gnarly" bible - Lee's Loss Prevention In Process Industries... and I'm really confused, lot of contradictions!
In part 15.20.2 - Gas jets there are several statements, for example:
- equation 15.20.8 (simplified)
- equation 15.20.18
Where c(x) means volumetric concentration at distance x (on the axis), ro is density, o means orifice, d is diameter of the hole (orifice) and k is constant (usually 5 - 6).
Can you see that disproportion of density ratios? Which form is the right one? Are there any correct equations for estimating concentration profile during gas jet (semi-empirical, not CFD)?
Thanks for your advices.