TreeEng (Chemical):
I have done your application at plant engineering level, perhaps, hundreds of times. I have always documented my calculations and project MOCs and never found any challenges or questions raised. The method, assuming that we are dealing with a source vessel that is nominally atmospheric design (uses a conventional conservation vent/vacuum breaker), is as follows:
1. Read the "end-of-the-curve" gpm on the centrifugal pump's performance curve; agreeably, the pump will never get to this condition but this is a conservative estimate and the errors are not worthwhile debating.
2. Manufacturers have advised me that up to 10% of the performance curve (at the end) is theoretical, extrapolated, or ficticious; nevertheless, the amount of liquid volume converted to essentially the atmospheric air required to displace it is very, very small (relatively) and well within the capacities of nominally small vacuum breakers.
3. For example, a 1,000 gpm displacement of liquid causes a vacuum capacity need for 134 cfm or 8,000 cfh at essentially standard conditions. A vacuum breaker for that capacity is insignificant when compared to what it is protecting. It isn't practical nor cost-effective to do any further calculations or "engineering design" on its capacity. The answer will be conservative, will work, and will be the most cost-effective.
Unless you have a pressurized case or your configuration is other than what I've assumed, I would do no more than the above. The effects of NPSH, the varying pressure difference, the temperatures, the densities, etc. will not have any significant effect on the ultimate size of the vacuum breaker. You will ultimately install the nominal size that the manufacturer (such as Protectoseal) offers for the capacity range desired anyway. The manufacturer is not going to design a "custom" or special vacuum breaker for your application - at least I hope that's not the case. I've often come up with 2" to 3" sizes in most liquid transfer cases that have been more than ample in protection required. If we're talking about the difference between a 2" and 3" vacuum breaker, I don't think this is worth more conversation. However, if you're looking at a 14" to 20" vacuum breaker, we need more details and basic data.
Hope this experience helps.
Art Montemayor
Spring, TX