Wetted surface of partially filled F-D heads on horizontal vessels

[colemanstoops]

I've tried several searches to find either an analytical or empirical method to derive the wetted surfaces of torispherical heads on a partially filled horizontal vessel, with no luck so far. It's safe to presume that the key vessel dimensions (inside diameter; crown radius; knuckle radius; liquid depth) are all established.

I've seen a number of sources that give the partially Any guidance would be greatly appreciated.

 

[JStephen]

Divide it into circumferential strips running part way around the tank. If you can come up with an expression for the length of each strip, you can integrate to find the area. Normally, you'd expect to treat the crown and the knuckle separately.

I can't think you'd need the number except for heat transfer or fire exposure calculations, both of which are pretty approximate at best. That being the case, I'd be inclined to take the total head area and prorate it like it was a disk.

 

[prex]

Look in the first site below, under Vessels -> Volumes -> Horizontal -> Torisph.

prex

http://www.xcalcs.com

: Online engineering calculations

http://www.megamag.it

: Magnetic brakes and launchers for fun rides

http://www.levitans.com

: Air bearing pads

 

[tr1ntx]

If X-Calcs doesn't do it for you, if I needed to know it exactly, I would draw a solid model of the interior volume of the tank, i.e., the liquid, and then slice it off at the level I needed, then look at the Mass Properties of the solid to see how much volume it occupied.

Or you could add it up in pieces: Volume of a partial torus for the knuckle radius, Volume of a spherical cap for the crown radius, etc.