Volume of horizontal vessel

[ibrahim]

Guys, can any one guide thru some empirical relations between liquid level and volume in horizontal vessels, for hemispherical, elliptical and flat heads.

[dexter]

We have liquid propane spherical storage vessels and we use following empirical relation;
V = 3.1415 x ((R/2 x H^2) - ((H^3)/3)))
where
R = Radius in ft
H = Liquid level in ft
V = Liquid volume in ft^3

Hope this may help you in finding the relation for horizontal vessel

[whaider]

For volume calculation of all types of shapes please refer to

http://forums.thepetrostreet.com/viewto ... f=10&t=414

[whaider]

Attached is a very handy software tool for volume calculation of horizontal cylindrical vessels. It is a portable application, that can be used without the need for installation procedure.

[ibrahim]

Excellent one.
Thanks Waseem.

[Imran.Idris]

Consider a circle of radius a (the end of the tank) and imagine that the liquid has reached height h, measured from the lowest point on the circle. Note that 0 <= h <= 2a. The area A of the segment of the circle covered by the liquid is

A = pi*a^2/2 - a^2*arcsin(1-h/a) - (a-h)*sqrt(h(2a-h))
V(liquid) with flat ends= A*L (where L is the horizontal length)
For Elliptical heads (2:1 S.E) correction V= A*L + pi*h^2*(1.5D-h)/12
For Hemi sphere heads V = A*L+pi*h^2*(1.5D-h)/6

[ibrahim]

thanks imran, but there seems some issue when i tried to apply above equation in excel. Can you share any excel sheet with such equation working?