## 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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