Partially filled head volume
Partially filled head volume
(OP)
I need an equation for calculating the volume of a partially filled ASME F&D head on a vertical tank. If anyone can help me out I would appreciate it. Thanks in advance.
Chris
Chris





RE: Partially filled head volume
However, the GPSA data book has a tabular set of data for the fractional volume of a vertical head at different liquid depths. You might want to try curve fitting a set of data points depending on the accuracy you need.
RE: Partially filled head volume
Thread770-12414 "Eliptical spheres" in the spreadsheet forum.
This is mostly about filling horizontal vessels, but prex' answer posted 22/10 includes a formula for filling the head of a vertical tank.
regards
Mogens
RE: Partially filled head volume
Volume or contents of partially filled hemi-ellipsoidal heads with major axis vertical
Q= Partially filled volume or contents in ft^3
V= Total volume of one head in ft^3
R= Radius of cylinder in ft
delta= a/(KR) where
a= liquid height
KR= head height
Upper head Q=1.5*V*(delta)*(1-(1/3*(delta)^2))
Lower head Q=1.5*V*(delta)^2*(1-(1/3*(delta))
It probably gives you the same result as the one refrenced above by mgp.
Unfortunately I was unable to find a formula for an ASME F&D head but I was able to fit a equation to curvature of tank in question. Using this, I can find the volume of a solid of revolution bound between the curve and a horizontal line at the liquid level. Kind of long but I think it will work close enough.
Once again thanks for effort TD2K and mgp.
Chris
RE: Partially filled head volume
"Calculating Tank Volume" by Tim Broyles - Chemical Processing 2000 Fluid Flow Annual p.32
http://www.chemicalprocessing.com
RE: Partially filled head volume
RE: Partially filled head volume
Thanks!
Pete
P. J. (Pete) Chandler, PE
Principal Engineer
Mechanical, Piping, Thermal, Hydraulics
Processes Unlimited International, Inc.
Bakersfield, California USA
pjchandl@prou.com
RE: Partially filled head volume
RE: Partially filled head volume
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