The use of Souders and Brown in this situation looks interesting. I have never used that for anything but distillation columns. Anyhow, that correlation will give me the velocity at which entrainment of a certain droplet size occurs, but no real way to estimate the quality of the steam. If I could somehow get a rate of formation of these droplets, then perhaps I could combine that calculation with Souders and Brown and come up with a rough estimate of how much entrained liquid is leaving at the given velocity.
I have been looking, but have not been able to find anything that will allow me to estimate this rate. There are so many variables involved in that, that it may be impossible to calculate. Splashing within the boiler, surface tension, gas velocity, distance from where the droplet forms to the outlet, etc. etc. etc. all affect the quality. I am not aware of a method to calculate how much all of these things contribute.