Posted 26 August 2009 - 01:45 AM
The pressure at the base of the barometric leg, at the level corresponding with the surface of the hot well, has to be atmospheric pressure which is 27,2 "Hg abs in this case. The pressure at the upper surface of the liquid in the barometric leg is the pressure in the receiver, which is 7,2 "Hg abs in this case. The difference between these two pressures (i.e. 20 "Hg) is the pressure (or head) that is supplied by the liquid leg.
The calculation of the liquid leg height (like all other calculations) is most easily done in SI Units, i.e.
Pressure = 20"Hg = 67700 Pascal
Density = 1,2 g/cc = 1200 kg/m3
Gravity = 9,81 m/s2
Height = Pressure / (Density x Gravity) = 67700 / (1200 x 9.81) = 5,75 metre
You need to add a safety margin to this, although you may have already done this by designing for -20 "Hg gauge against a normal operating pressure of -14 "Hg gauge. Theoretically you also need to add the friction head of the liquid flowing down the leg, but if you design the leg diameter for self venting flow the friction loss will be negligible.