Morten:
This phenomena of a rain shower causing a tank “suck-in” while it is under a steam-out condition is not strange for us in East Texas. You will have to believe me when I tell you that it has happened all too often in the past and will probably continue until people understand the basics involved. I’m not the only one who has personally witnessed this event take place.
The heat transfer rate is calculated by applying the vertical falling film condensation theory of Nusselt (I believe) and what I came up with was an estimated film coefficient of 500 Btu/hr-ft2-oF. I believe that you will find that for a condensing system, an overall heat transfer coefficient of 250 to 700 Btu/hr-ft2-oF is considered as very credible. From this basic start, I calculate the total heat transferred and the rate of steam condensation inside the tank. I can do this because I can easily calculated the cooling surface of the tank and the latent heat of condensation for steam at atmospheric pressure.
Knowing the rate of steam condensation, I also can calculate the rate of volume displaced by the steam because I know the steam’s specific volume before it condensed. I assume the amount of net volume reduced (steam volume – condensate volume) is essentially the same as the steam volume since the ratio of condensate to steam volume is very small.
The maximum possible air velocity entering the tank through the tank’s vacuum relief nozzle is the sonic velocity of air:
Vs = (kgRT)^0.5 = (kg144PV)^0.5
Where,
vs = Sonic velocity of air, ft/sec
k = Ratio of specific heats for air
g = acceleration of gravity, 32.2 ft/sec2
P = Absolute pressure, psia
V = Specific volume of air, ft3/lb
The required nozzle cross-sectional area = steam volume displacement (ft3/sec)/ft2(maximum air velocity)
The recommended nozzle area is one size larger or more.